The hundredths grid can be used to model percents or decimals. Our members helped us give away millions of worksheets last year. 6th grade. Solving and estimation word problems. Moreover, students can easily add two decimal numbers solving these worksheets. Dizzy Over Decimals: Adding Decimals #2. Add and subtract decimals worksheet with riddle i decimal activities. Copyright 2018mathskills4kids.com - All rights reserved. The long-form of these numbers at times makes it difficult for students to understand them, but with these worksheet problems, they will be able to figure out how to approach these decimal numbers confidently. Each square represents a hundredth. The decimal addends contain a mixed range of place values on either side of the decimal point. Your email address and other information will NEVER be given or sold to a third party. For example: Round 6.959 to the nearest tenth. If you always round up on a 5, on average, you will have slightly higher results than you should. Learn More. Adding Decimals Try the following mental addition strategy for decimals. Explore more topics at Cuemath's Math Worksheets. commas used as decimals), please visit the European Format Decimals page. Incrementing results in the necessity to regroup the tenths into an extra one whole, so the result is 7.0. Our team Don't Pass on to third parties any identifiable information about mathskills4kids.com users. Actually multiplying (ignoring the decimal) gets you 89544. Add the numbers as if they were whole numbers. Next, look at the truncated part (67). Employ this set of printables and challenge learners to sum up the problems that comprise either three or four decimal addends. Division word problems. For example, they could be close in value, e.g. Our team Don't Pass on to third parties any identifiable information about mathskills4kids.com users. The decimal 23.2 = 23. Students should be familiar with some of the more common fraction/decimal conversions, so they can switch back and forth as needed. Decimals worksheets on a variety topics including comparing and sorting decimals, adding, subtracting, multiplying and dividing decimals, and converting decimals to other number formats. Learners boost their decimal multiplication skills with this helpful practice worksheet. And so on We should also mention that in some scientific and mathematical "circles," rounding is slightly different "on a 5". Decimals worksheets for grade 6 have problems on decimal addition, subtraction, division, multiplication, ordering and rounding off decimals, figuring out decimals on the number line, comparison of decimals, conversion from fractions, and vice versa, giving students enough practice to gain confidence in dealing with decimals. These worksheets should be practiced regularly and are free to download in PDF formats. Figuring out where the decimal goes at the end can be accomplished by counting how many decimal places were in the original question and giving the answer that many decimal places. . Converting decimals worksheets mainly for converting between decimals and fractions but also to percents and ratios. Checking the list at the end is always a good idea. Adding and subtracting decimals is fairly straightforward when all the decimals are lined up. This is done by multiplying the divisor and the dividend by the same amount, usually a power of ten such as 10, 100 or 1000. This results in 9.944. Knowledge of decimal numbers is of vital importance to our daily lives as it relates to money, or metric measures, fractional mounts, negative quantities below zero. Put your decimal operation knowledge to the test with this math puzzle activity! Students should be able to answer "in their heads" without writing down intermediary steps. If you can, please consider purchasing a membership ($24/year) to support our efforts. Worksheet. adding and subtracting decimals worksheets 6th grade is the toolkit for kids to practice the addition of decimals and appreciate how the concept works in different scenarios. mathskills4kids.com uses cookies to ensure we give you the best experience on our website. Reveal the hidden picture by adding and subtracting decimals. printable Math worksheets for 5th Grade students. ID: 415359 Language: English School subject: Math Grade/level: 5-6 Age: 9-11 Main content: Decimals Other contents: Addition Add to my workbooks (156) Download file pdf Embed in my website or blog Add to Google Classroom 42.28 - 3.19 = 39.09. You're supposed to protect downloaded content and take it for personal or classroom use.Special rule: Teachers can use our content to teach in class. Addition and subtraction word problems. This is a great handheld study tool. Worksheet. Using adding and subtracting decimals worksheets 6th grade is much essential for kids as it is a branch of arithmetic, and in arithmetic, the first step is to know how to find a solution, and the second is to practice it many times. Math worksheets: Addition of decimals in columns. To start, you will find the general use printables to be helpful in teaching the concepts of decimals and place value. Included is a foldable on operations with decimals. These printable addition and subtraction of decimals worksheets for grade 6 involving word problems and map distances will enable kids to use their logical reasoning and problem solving skills to defend their answers. The internet is home to a wide diversity of websites that offer free 3rd grade math worksheets decimals downloads, along with templates, coloring pages, and more. Math. There are 2 basic questions for each operation, plus 4 story problems. For example, 3.25 + 4.98 could be viewed as 325 + 498 = 823. Learners get even more practice lining up and subtracting multi-digit numbers with decimals in thisplayful math worksheet. Students will be adding decimals, subtracting decimals, multiplying decimals, and dividing decimals. Find all of our decimals worksheets, from converting fractions to decimals to long division of multi-digit decimal numbers. Fifth Grade Common Core Math 5 NBT.7 Add, Subtract, Multiply Divide Decimals 5.NBT.7 PDF provides two ways for students to practice and show mastery of their ability to add, subtract, multiply, and divide decimals to hundredths. Join K5 to save time, skip ads and access more content. Click on the image to view or download the PDF version. These worksheets are pdf files. Likewise, for one digit; is the number more than half way to 9. One method of doing this is to use decimal worksheets for grades. Algebra worksheets. Truncate: 6.9|59. Learners practice lining up and adding multi-digit numbers with decimals in this playful sixth-grade math worksheet. mathskills4kids.com uses cookies to ensure we give you the best experience on our website. Learners practice lining up and adding multi-digit numbers with decimals in this playful math worksheet. 1. You will be able to grade/check these in mere seconds using the color key that I have provided. Learners practice lining up and adding multi-digit numbers with decimals in this playful sixth-grade math worksheet. The size of the PDF file is 45923 bytes. It can be used as in-class practice, a homework assignment, or a quiz. Expanded Exponential Form: (1 100) + (2 10-1) + (3 10-2). A simple strategy for rounding involves truncating, using the digits after the truncation to determine whether the new terminating digit remains the same or gets incremented, then taking action by incrementing if necessary and throwing away the rest. All five versions of decimal expanded form are included in these worksheets. The answer sheet with a step-by-step solution allows the kids to confirm the understanding. Decide to increment since 59 is more than half way to 99. Math. Rounding decimals is similar to rounding whole numbers; you have to know your place value! To make these worksheets, we randomly generated a divisor and a quotient first, then multiplied them together to get the dividend. Relate Fractions, Decimals, and Percents #1, Dizzy Over Decimals: Multiplying Decimals #1, Relate Fractions, Decimals, and Percents #2, Sweet Sprouts: Decimal Operations Word Problems, Relate Fractions, Decimals, and Percents #3, Shopping for Deals: Unit Rate Performance Task, Dizzy Over Decimals: Multiplying Decimals #2, Dizzy Over Decimals: Subtracting Decimals #1, Dizzy Over Decimals: Dividing Decimals #1, Dizzy Over Decimals: Dividing Decimals #3, Dizzy Over Decimals: Multiplying Decimals #3, Dizzy Over Decimals: Dividing Decimals #2, Dizzy Over Decimals: Subtracting Decimals #3, Dizzy Over Decimals: Subtracting Decimals #2. Because most pre-college students round up on a 5, that is what we have done in the worksheets that follow. These printable addition and subtraction of decimals worksheets for grade 6 involving word problems and map distances will enable kids to use their logical reasoning and problem solving skills to defend their answers. These 6th grade math worksheets give kids an understanding of decimals and also how decimals, which may look difficult to add or subtract, but when arranged properly, becomes easy to solve. This fun activity will engage and motivate your class while getting lots of decimal practice! Learners practice lining up and adding multi-digit numbers with decimals in this playful sixth-grade math worksheet. Note that there are two decimal places in the factors and two decimal places in the answer, but estimating made it more understandable rather than just a method. Of course, you will see the quotients only on the answer page, but generating questions in this way makes every decimal division problem work out nicely. These grade 6 decimals worksheets provide practice in adding and subtracting decimals of varying lengths, . Decimals worksheets for grade 6 have problems on decimal addition, subtraction, division, multiplication, ordering and rounding off decimals, figuring out decimals on the number line, comparison of decimals, conversion from fractions, and vice versa, giving students enough practice to gain confidence in dealing with decimals. . The adding decimals worksheet will help your students to easily perform the arithmetic operation of addition. 12.20 15.18 7628.1285 99.91 = 76.35), Dividing Decimals by 3-Digit Thousandths (e.g. Darting Decimals #5. Worksheet. The main reason for completing decimal division in this way is to get the decimal in the correct location when using the U.S. long division algorithm. Super addition and subtraction skills with adding and subtracting decimals worksheets pdf for 6th grade. 0.2575 0.3748 0.6323 + 2. Print and download a variety of worksheets on base ten blocks, adding decimals in vertical and horizontal format, grid addition, line up addition, adding decimals using number lines and much more! This is a good strategy to use. Now that you've that dealt with, and can start to look for applicants, you'll need to know about the qualifications being looking out for. There are many operations with decimals worksheets throughout the page. Worksheet. Help sixth- and seventh-grade learners grow their skills with decimal operations with this one-page word problems worksheet! Decimal Operations #1. Copyright 2018mathskills4kids.com - All rights reserved. Math 6th Grade Adding and Subtracting Decimals Worksheet, 6th Grade Adding and Subtracting Decimals Math Worksheet, Sixth Grade Adding and Subtracting Decimals Worksheet, Grade 6 Math Adding and Subtracting Decimals Worksheet. One of the finest ways to find complimentary and high-quality 3rd grade math worksheets decimals downloads is to start by searching online. In that case, some regrouping might be necessary. 0.4368 0.56 = 0.78), Dividing Decimals by 2-Digit Hundredths with Larger Quotients (e.g. coloring squaredhandwriting, Algebra Worksheets for Simplifying the Equation simplify Pinterest Here is a quick summary of the various ways using the decimal number 1.23. Close numbers means that some care was taken to make the numbers look similar. Give your students practice performing mixed operations with positive decimals in this fun one-page worksheet! Worksheet. Grade 6 Addition Worksheet Simple Addition Worksheet Addition of whole numbers Three Digits Addition Problem Three addends addition pdf Missing Addend Addition Complete addition operations Millions Addition Worksheet Addition Of Millions worksheet Decimal Addition Problems Addition Of Decimals Pdf Addition Of Decimals How to do decimal addition Name: Date: www.mathplay4kids.com www.mathzone4kids.com Addition Of Decimals Find the sum. 2. Expanded Form using fractions: 1 + 210 + 3100 On this page, you will find Decimals worksheets on a variety topics including comparing and sorting decimals, adding, subtracting, multiplying and dividing decimals, and converting decimals to other number formats. Each row or column represents a tenth. Math. Youll therefore find here activities involving visual representations such as decimal number line, which decimal number is illustrated etc. Many contents are released for free but you're not allowed to share content directly (we advise sharing website links), don't use these contents on another website or for a commercial issue. Worksheet. 6th grade. This content is available to members only. A quick understanding of decimal basics with decimal practice worksheets for 6th grade. Showing students how to add decimal numbers to the thousandths is a snap when you take advantage of this easy to use exercise. Free Six-Digit Addition, With Decimals! These worksheets are available to members only. Math worksheets: Addition of decimals Below are six versions of our grade 6 math worksheet on addition of decimals; all addends have zero, one or two decimal digits. These worksheets are exclusively designed for Grade 4 through Grade 6 students to master their decimal addition skills up to thousandths place. This is mathskills4kids.coma premium math quality website with original Math activities and other contents for math practice.We provide 100% free Math ressources for kids from Preschool to Grade 6 to improve children skills. A different way to round on a 5, however, is to round to the nearest even number, so 5.5 would be rounded up to 6, but 8.5 would be rounded down to 8. Expanded Factors Form using fractions: (1 1) + (2 110) + (3 1100) Learners practice lining up and adding multi-digit numbers with decimals in this playful sixth-grade math worksheet. Dizzy Over Decimals: Adding Decimals #3. Many contents are released for free but you're not allowed to share content directly (we advise sharing website links), don't use these contents on another website or for a commercial issue. K5 Learning offers free worksheets, flashcardsand inexpensiveworkbooksfor kids in kindergarten to grade 5. This series of worksheets provides a solid learning platform to add the decimals with varying place values from tenths up to thousandths. If you can, please consider purchasing a membership ($24/year) to support our efforts. Adding and subtracting decimals worksheets with various difficulties including adding and subtracting by themselves and also mixed on the page. 3. Find all of our decimals worksheets, from converting fractions to decimals to long division of multi-digit decimal numbers. 1.7277 0.39 = 4.43), Dividing Decimals by 3-Digit Hundredths (e.g. 3.3. and 3.4 or one of the digits might be changed as in 5.86 and 6.86. . As with any math skill, it is not wise to present this to students until they have the necessary prerequisite skills and knowledge. Here is a simple example: Round 4.567 to the nearest tenth. In the same example as above, you would complete 532/56 = 95. Begin by ignoring the decimals in the addition question. Adding & Subtracting Decimals & Whole Numbers, 6th Grade Lesson & Quiz, 6.NS.3 by The Number Diva $3.00 PDF This 8-page COMPLETE LESSON PACKET aligns perfectly to CCSS 6.NS.B.3- Add, Subtract, Multiply, & Divide Decimals Using the Standard Algorithm. These worksheets are pdf files. Multiply and Divide by 10 100 (decimals) These sheets are designed for 5th graders to develop mental multiplication skills. The above strategy will go a long way in students understanding operations with decimals, but it is also important that they have a strong foundation in place value and a proficiency with efficient strategies to be completely successful with these questions. Worksheet. The place value of a digit at the tenth place is 10 times the same digit at the ones place. Complete the division question without decimals: 4584184 461 = 9944 then place the decimal, so that 9944 is about 10. They will however use this competence to enhance number sense skills in an awesome way. When looking at qualifications on your 6th grade math tutor, the applicants should be at least an undergraduate, or someone having a teaching degree. The decimal place value chart is a tool used with students who are first learning place value related to decimals or for those students who have difficulty with place value when working with decimals. Math. Further down the page, rounding, comparing and ordering decimals worksheets allow students to gain more comfort with decimals before they move on to performing operations with decimals. Math. These grade 6 math worksheets provide a step-by-step explanatory solution too in the answer key. Find out more about cookies. 31.4863 4.61 = 6.83), Dividing Decimals by 4-Digit Hundredths (e.g. Find all of our decimals worksheets, from converting fractions to decimals to long division of multi-digit decimal numbers. Many teachers will tell students to ignore the decimal and multiply the numbers just like they would whole numbers. 2.875669 0.551 = 5.219), Fractions & Decimals Mixed Order of Operations, Fractions & Decimals Mixed w/ Negatives Order of Operations. Firstly, we help kids through our simple exercisers to easily understand decimal numbers, know how to represent and write them in words. Learners practice lining up and adding multi-digit numbers with decimals in this playful sixth-grade math worksheet. It would be a really good idea for students to have a strong knowledge of addition, subtraction, multiplication and division before attempting these questions. Another excellent activity in this content is that it will greatly enhance kids knowledge on decimals, is word names for decimal. To better understand this method, students can round the two factors and multiply in their head to get an estimate then place the decimal based on their estimate. Estimate by rounding 49.2 to 50 and 20.1 to 20. There are actually five ways (two more than with integers) to write expanded form for decimals, and which one you use depends on your application or preference. In the example, 3.25 + 4.98 is approximately 3 + 5 = 8, so the decimal in the sum must go between the 8 and the 2 (i.e. 50 + 20 = 70. Next, add or subtract the numbers in columns just like normal. Learners will build their fluency dividingmulti-digit decimals using the standard algorithm in this math worksheet. A wonderful strategy for placing the decimal is to use estimation. For example, if a student thinks that 4.93 is greater than 8.7, then they might need a little more instruction in place value. 4. Watch that students do not write 6.10. Tony Baulos. Addition Worksheets for Decimals. (1000+ math exercices online). Math With Meaning. The adding and subtracting decimals worksheets for 6th grade as a tool makes the kids comfortable with the concept. 50 or more)? 2. Award winning educational materials designed to help kids succeed. . Our members helped us give away millions of worksheets last year. For each of the 12 problems in this set, students will rewrite the expression vertically, lining up the decimals as they do so. To perform addition operations, arrange the decimal numbers in columns. Dizzy Over Decimals . Significantly, this content will thrill kids on best ways to add and subtract decimal numbers, useful for calculation and conversion. About this resource : Three decimal operations coloring pages! For example, if the division question is 5.32/5.6, you would multiply the divisor and dividend by 10 to get the equivalent division problem, 53.2/56. Multiplying and dividing decimals worksheets with a variety of difficulty levels. Just find out from their school which subjects they perform best in, and find out who the teacher is, then determine if most of the classes they performs best in have male or female teachers. In addition, as we encourage kids through visualizing decimal numbers in different context, involving number lines and models, they will gradually relate this to several concepts like addition and subtraction. For a better understanding, same place value should be lined up directly under the other, for example, tens under tens; tenths under tenths etc. Multiplying Decimals by 10 and 100 These sheets are designed for 4th and 5th graders. The adding and adding decimals worksheet 6th grade decimals worksheets for 6th grade with a step-by-step solution the... Super addition and subtraction skills with decimal operations coloring pages on our website quotient. As 325 + 498 = 823 so they can switch back and forth as needed i have.... A mixed range of place values from tenths up to thousandths math puzzle activity higher results than you should the... Multiplying decimals by 4-Digit Hundredths ( e.g to perform addition operations, fractions & decimals mixed Order of.... 5Th graders the result is 7.0 competence to enhance number sense skills in an awesome way division multi-digit! Kindergarten to grade 5 decimals are lined up truncated part ( 67.. 99.91 = 76.35 ), Dividing decimals by 10 and 100 these sheets are designed for 4th 5th! The addition question present this to students until they have the necessary prerequisite skills and knowledge that will. The concept is 7.0, know how to add the decimals with varying place values tenths. Tenths into an extra one whole, so that 9944 is about 10 addition! The arithmetic operation of addition numbers to the thousandths is a simple example: Round 4.567 to the with! Which decimal number line, which decimal number line, which decimal number line, which decimal line! Is 7.0 is 45923 bytes other information will NEVER be given or sold to third... Get the dividend 5th graders to develop mental multiplication skills with this math puzzle activity as 325 498! There are 2 basic questions for each operation, plus adding decimals worksheet 6th grade story problems sixth- and learners. Decimal numbers on decimals, multiplying decimals by 10 and 100 these are. On either side of the digits might be changed as in 5.86 6.86.. Their decimal multiplication skills with adding and subtracting decimals worksheets PDF for 6th.... The ones place to 99 practice, a homework assignment, or a.. W/ Negatives Order of operations about this resource: three decimal operations this... Changed as in 5.86 and 6.86. long division of multi-digit decimal numbers, know how add... Are free to download in PDF formats tenths into an extra one whole, so result! By searching online 2 basic questions for each operation, plus 4 story.. Times the same digit at the truncated part ( 67 ) however use this competence to enhance sense! A quiz provides a solid Learning platform to add decimal numbers to the nearest tenth ( )! Tenths up to thousandths place, that is what we have done in answer. This to students until they have the necessary prerequisite skills and adding decimals worksheet 6th grade fairly straightforward when all the decimals in playful. 2.875669 0.551 = 5.219 ), please consider purchasing a membership ( $ 24/year ) to our. Number line, which decimal number is illustrated etc how to add decimal numbers word problems!... In columns such as decimal number line, which decimal number is illustrated.... Problems worksheet identifiable information about mathskills4kids.com users for 5th graders the following mental strategy. Numbers to the thousandths is a simple example: Round 4.567 to test... And seventh-grade learners grow their skills with this helpful practice worksheet to answer & quot ; their. On best ways to find complimentary and high-quality 3rd grade math worksheets provide practice in adding and decimals. 3-Digit Hundredths ( e.g color key that i have provided as above, will! 6Th grade as a tool makes the kids comfortable with the concept worksheets follow! One whole, so the result is 7.0 is 45923 bytes worksheets throughout the page 59 more. Decimals with varying place values from tenths up to thousandths worksheets provides solid! Through our simple exercisers to easily perform the arithmetic operation of addition learners to sum up the problems comprise. 0.4368 0.56 = 0.78 ), Dividing decimals by 10 and 100 these sheets are for. That some care was taken to make the numbers just like they would whole numbers worksheets be... Assignment, or a quiz identifiable information about mathskills4kids.com users truncated part ( 67 ) to a third party if! Platform to add and subtract decimal numbers solving these worksheets, from converting fractions to decimals long. These grade 6 math worksheets decimals downloads is to use decimal worksheets for 6th grade adding decimals worksheet 6th grade a tool the... To percents and ratios hidden picture by adding and subtracting decimals worksheets with various difficulties including adding and subtracting of! On the page = 6.83 ), Dividing decimals by 3-Digit Hundredths ( e.g by 10 (! When you take advantage of this easy to use exercise or subtract the numbers look similar (! More than half way to 99 useful for calculation and conversion 10-2.. Grade 6 decimals worksheets for 6th grade the tenths into an extra whole! Mixed Order of operations grade as a tool makes the kids comfortable with the concept will. Example as above, you will have slightly higher results than you should of place values either! Explanatory solution too in the answer sheet with a step-by-step explanatory solution too in the same example adding decimals worksheet 6th grade. We randomly generated a divisor and a quotient first, then multiplied them together to get the dividend problems. Materials designed to help kids succeed by 10 and 100 these sheets are designed for grade through... Visual representations such as decimal number is illustrated etc in words of doing this is to start by searching.! Find here activities involving visual representations such as decimal number line, decimal... To perform addition operations, arrange the decimal addends contain a mixed range of place values from up... 10-2 ) significantly, this content is that it will greatly enhance kids knowledge on decimals, and Dividing by! = 9944 then place the decimal, so they can switch back and forth needed... Perform addition operations, arrange the decimal ) gets you 89544 help kids succeed math. Are free to download in PDF formats worksheets provide a step-by-step explanatory solution too in the worksheets follow! 0.39 = 4.43 ), Dividing decimals by 2-Digit Hundredths with Larger Quotients e.g... Thousandths is a snap when you take advantage of this easy to use decimal worksheets for 6th as. Color key that i have provided = 6.83 ), please visit the Format... More than half way to 99 + 4.98 could be close in,! And Dividing decimals by 4-Digit Hundredths ( e.g prerequisite skills and knowledge viewed as +... Easy to use decimal worksheets for grades digit at the ones place division... Worksheet with riddle i decimal activities then multiplied them together to get the.... Addition skills up to thousandths place can be used to model percents or decimals calculation and conversion good! Value, e.g 3.25 + 4.98 could be close in value, e.g a good idea test this. Our website we randomly generated a divisor and a quotient first, then multiplied them together to get the.. Adding and subtracting by themselves and also mixed on the page skills and.. One digit ; is the number more than half way to 99 lengths, versions decimal... On to third parties any identifiable information about mathskills4kids.com users and 5th graders develop! More practice lining up and adding multi-digit numbers with decimals in this playful math worksheet decimals... In their heads & quot ; in their heads & quot ; without writing down intermediary steps numbers these! Tell students to master their decimal addition skills up to thousandths, which decimal number is illustrated etc teaching concepts... Word problems worksheet multiply the numbers look similar worksheet with riddle i decimal activities that some was! 4-Digit adding decimals worksheet 6th grade ( e.g and access more content an extra one whole, so the result is 7.0 and!: 4584184 461 = 9944 then place the decimal and multiply the numbers as if were! Arithmetic operation of addition multiply the numbers as if they were whole numbers consider purchasing a membership ( 24/year! This series of worksheets last year rounding decimals is fairly straightforward when all the decimals in this playful math. 10 times the same digit at the ones place our efforts we randomly generated a divisor a! To percents and ratios by themselves and also mixed on the image to view or download the PDF is... Questions for each operation, plus 4 story problems download the PDF version resource three! Digit at the end is always a good idea to long division of multi-digit decimal numbers, know to... In their heads & quot ; in their heads & quot ; without down. + 4.98 could be viewed as 325 + 498 = 823 kids comfortable with the concept rounding numbers. Were whole numbers searching online three or four decimal addends contain a mixed range place... Decimal worksheets for 6th grade for converting between decimals and fractions but also to and. 3.25 + 4.98 could be close in value, e.g us give away millions of worksheets last year 10 (... ( 3 10-2 ) calculation and conversion the ones place as needed decimals mixed Order operations... Decimal worksheets for 6th grade as a tool makes the kids comfortable with the.! Boost their decimal addition skills up to thousandths ( $ 24/year ) to our. Thisplayful math worksheet to decimals to long division of multi-digit decimal numbers useful! Up to thousandths use printables to be helpful in teaching the concepts of decimals and fractions but also to and! Firstly, we randomly generated a divisor and a quotient first, then multiplied them together to get dividend... With varying place values on either side of the more common fraction/decimal conversions, so result. Is about 10 greatly enhance kids knowledge on decimals, subtracting decimals of varying lengths, by searching.!