Decimal practice for 4th and 5th grade. A second lesson sheet, with guided practice, shows how to multiply and divide decimals. The first sheet explains tenths and hundredths with a place value chart and a hundred grid. The practice sheets then cover place value to thousandths, comparing, rounding, powers of 10, and all four operations: adding, subtracting, multiplying and dividing decimals. Every practice sheet has its answer key on the second page.
Tenths and hundredths on a place value chart and a grid, lining up the decimal points, and multiplying by a whole number.
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Eight hundred grids to read as decimals, then fifteen pairs to compare. Includes answer key.
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The value of a digit, then standard, expanded and word form for decimals to thousandths. Includes answer key.
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Twelve pairs to compare with >, < and =, then four sets to put in order. Includes answer key.
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Round to the nearest whole number, tenth and hundredth, then round one number three ways. Includes answer key.
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Six number lines that show which way to round, then find every number that rounds to 4.6. Includes answer key.
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What the exponent on a 10 means, powers of 10 as numbers, and whole numbers times a power of 10. Includes answer key.
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Multiply and divide decimals by 10, 100 and 1,000, find the missing number, and four short problems. Includes answer key.
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Twenty problems with tenths and hundredths, already lined up on the decimal point. Includes answer key.
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Twenty problems, some needing a zero filled in. Includes answer key.
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Twenty problems: a decimal times a one-digit number. Includes answer key.
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Why tenths times tenths makes hundredths on a hundred grid, the four steps for multiplying two decimals, a worked long division with the point placed, and how to divide by a decimal.
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Sixteen problems with write-in boxes for each step: count the decimal places, multiply and place the point, divide by a whole number, then divide by a decimal. Includes answer key.
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The whole-number product is given: place the decimal point. Then pick the product an estimate says is right. Includes answer key.
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A worked example, then twelve problems such as 2.4 × 1.3 with room to work. The key shows the whole-number product.
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A worked example, then twelve long-division problems such as 6.39 ÷ 3. The key shows a check for each.
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Rewrite problems such as 4.2 ÷ 0.7 with a whole-number divisor, a pattern to find, and two stories. Includes answer key.
Download PDFA decimal is another way to write a fraction with a denominator of 10 or 100. 0.4 is four tenths and 0.47 is forty-seven hundredths. The grid sheet shows this directly: each column of a hundred grid is one tenth and each small square is one hundredth.
When adding or subtracting, the one rule is to line up the decimal points so tenths are under tenths and hundredths under hundredths. The problems on these sheets are printed that way, with tenths and hundredths mixed, so students also practice filling an empty place with a zero.
To multiply a decimal by a whole number, multiply as if the point were not there, then give the answer the same number of decimal places as the decimal you started with. When both numbers are decimals, count the decimal places in both: 0.4 × 0.7 is 4 × 7 = 28 with two decimal places, 0.28. Where Does the Point Go? practices only that step before the full problems.
The 5th grade sheets start with place value to thousandths, comparing and rounding, with one rounding sheet on number lines for students who need to see why 3.27 is nearer to 3.3. Powers of 10 introduces the exponent, and the sheet after it shows that multiplying or dividing by 10, 100 or 1,000 moves every digit to a new place.
Multiplying and Dividing Decimals: How It Works is the lesson to do before the multiplying and dividing sheets. A hundred grid shows why 0.4 × 0.7 is 28 hundredths, then one problem, 2.3 × 1.6, is worked in four steps: multiply as whole numbers, count the decimal places, place the point, and check with an estimate. The division half shows a long division with the point placed straight above, and why 2.4 ÷ 0.3 has the same answer as 24 ÷ 3. A Watch out box covers the three usual mistakes. Multiply and Divide Decimals: Guided Practice follows the same steps with a box for each one, and the support drops away from section A to section D.
To divide a decimal by a whole number, divide as usual and put the point in the quotient straight above the point in the dividend. To divide by a decimal, multiply both numbers by 10 or 100 first so the divisor is a whole number: 4.2 ÷ 0.7 becomes 42 ÷ 7.
For the link between decimals, fractions and percents, see the fraction chart page, which includes a fraction, decimal and percent chart.
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