Thanks for visiting the U.S. number format version of the decimals and percents worksheets page at Math-Drills.Com where we make a POINT of helping students learn. 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. To start, you will find the general use printables to be helpful in teaching the concepts of decimals and place value. More information on them is included just under the sub-title.
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. There are many operations with decimals worksheets throughout the page. It would be a really good idea for students to have a strong knowledge of addition, subtraction, multiplication and division before attempting these questions. At the end of the page, you will find decimal numbers used in order of operations questions.
General Use Printables
The thousandths grid is a useful tool in representing operations with decimals. Each small rectangle represents a thousandth. Each square represents a hundredth. Each row or column represents a tenth. The entire grid represents one whole. The hundredths grid can be used to model percents or decimals. 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.
Expanded Form with Decimals
For students who have difficulty with expanded form, try familiarizing them with the decimal place value chart first, and let them use it to help them write numbers in expanded form. There are many ways to write numbers in expanded form. 1.23 could be written as 1 + 0.2 + 0.03 OR 1 + 2/10 + 3/100 OR 1 × 100 + 2 × 10-1 + 3 × 10-2 OR any of the previous two written with parentheses/brackets OR 1 + 2 × 1/10 + 3 × 1/100 with or without parentheses, etc. Despite what the answer key shows, please teach any or all of the ways depending on your students' learning needs.
Rounding Decimals Worksheets
The convention on the decimals worksheets below is to round up on a five. Apply rounding knowledge to estimate answers on the operational worksheets that follow.
Comparing Decimals Worksheets
Use the decimals worksheets below to help students recognize ordinality in decimal numbers.
Sorting/Ordering Decimals Worksheets
The decimals worksheets below help students compare numbers further by ordering lists of decimal numbers.
Percents are a special kind of decimal. Once the connection is seen between the two (a percent is just 100 times a decimal), they are not so mysterious. Percents have a few specific applications that we've highlighted in the worksheets below.
Adding Decimals Worksheets
Try the following mental addition strategy for decimals. Begin by ignoring the decimals in the addition question. Add the numbers as if they were whole numbers. For example, 3.25 + 4.98 could be viewed as 325 + 498 = 823. Use an estimate to decide where to place the decimal. 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. 8.23)
Subtracting Decimals Worksheets
Have you thought about using base ten blocks for decimal subtraction? Just redefine the blocks, so the big block is a one, the flat is a tenth, the rod is a hundredth and the little cube is a thousandth. Model and subtract decimals using base ten blocks, so students can "see" how decimals really work.
Adding and Subtracting Decimals Worksheets
Adding and subtracting decimals is faily straightforward when all the decimals are lined up. Use these worksheets to ensure students understand where the decimal is placed when adding numbers. A wonderful strategy for placing the decimal is to use estimation. For example if the question is 49.2 + 20.1, the answer without the decimal is 693. Estimate by rounding 49.2 to 50 and 20.1 to 20. 50 + 20 = 70. The decimal in 693 must be placed between the 9 and the 3 as in 69.3 to make the number close to the estimate of 70.
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 or algorithms to be completely successful with these questions. As with any math skill, it is not wise to present this to students until they have the necessary prerequisite skills and knowledge.