What these worksheets practise
Decimals are another way to write fractions with denominators of 10, 100 and so on: and . Calculating with them is whole-number arithmetic plus one extra skill: keeping track of the decimal point.
Choose one operation per worksheet and one or two decimal places.
- Addition and subtraction — two decimal numbers; subtraction answers are never negative.
- Multiplication — a decimal times a whole number from 2 to 9.
- Division — a decimal divided by a decimal, with a whole-number answer from 2 to 9.
Worked examples
Addition:
Line up the decimal points and add as with whole numbers: tenths, so the answer is .
Subtraction:
With the points lined up, borrow as usual: tenths, so .
Multiplication:
Multiply without the point: . The factor 6.47 has two decimal places, so the answer has two as well: .
Division:
Move the decimal point one place to the right in both numbers so the divisor is a whole number: .
Check your answers
Estimate with whole numbers. is about , so 51.76 is reasonable and 517.6 is not. For division, multiply back: .
Common mistakes
- Lining up the last digits instead of the decimal points. In , the 5 tenths go under the 2 tenths: .
- Putting the point in the wrong place when multiplying. Count the decimal places in the factors; needs two.
- Moving the point in only one number when dividing. Both numbers move the same number of places, or the answer changes: , not 6.
- Borrowing across the decimal point. The point does not change how borrowing works; is 4.3, not 5.7.
Sample problems
These problems come from the same generator as the worksheet above. Press Generate for a fresh set.
Addition
Subtraction
Multiplication
Division
Show answers
- 4
- 13.4
- 6.5
- 3.2
- 55.86
- 35.76
- 8
- 4
Tips for teachers and parents
- Money is the most familiar decimal: makes the addition example concrete.
- Grid paper helps students keep decimal points in one column on addition and subtraction worksheets.
- Estimating before calculating catches most decimal-point errors in multiplication and division.