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Dividing decimals

Divide decimals with answers that need no rounding.

Practice + answer key · 2 pages

Worksheet settings12 questions · 2 columns · A4
Divisor and answer in tenths

Enter whole-number counts of tenths: 12 means 1.2. The divisor and answer use this range; multiplying them gives the dividend.

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mathsprig-1
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1 page
Dividing decimalsDividing decimals. Practice. Calculate 4.48 ÷ 1.6. Calculate 0.90 ÷ 0.9. Calculate 3.61 ÷ 1.9. Calculate 0.12 ÷ 0.4. Calculate 8.12 ÷ 2.8. Calculate 1.60 ÷ 2.0. Calculate 1.89 ÷ 2.7. Calculate 3.60 ÷ 1.8. Calculate 3.00 ÷ 2.5. Calculate 2.00 ÷ 0.8. Calculate 4.84 ÷ 2.2. Calculate 2.97 ÷ 1.1.Name __________________________Date _______________Dividing decimalsDivide each expression. Check by multiplying the answer by the divisor.Worked exampleCalculate 1.44 ÷ 1.2. → 1.2Multiply both numbers by 100: 144 ÷ 120.1.Calculate 4.48 ÷ 1.6.2.Calculate 0.90 ÷ 0.9.3.Calculate 3.61 ÷ 1.9.4.Calculate 0.12 ÷ 0.4.5.Calculate 8.12 ÷ 2.8.6.Calculate 1.60 ÷ 2.0.7.Calculate 1.89 ÷ 2.7.8.Calculate 3.60 ÷ 1.8.9.Calculate 3.00 ÷ 2.5.10.Calculate 2.00 ÷ 0.8.11.Calculate 4.84 ÷ 2.2.12.Calculate 2.97 ÷ 1.1.MathSprig · mathsprig.site · support@mathsprig.sitePage 1 of 1mathsprig-1 · mathsprig-v1 · b9303ffc
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Practice + answer key · 2 pages

Decimals

What you’ll practice

Calculate an exact decimal quotient and verify it by multiplication.

Move the decimal point by the same amount in both numbers to make the division easier. Every answer on this sheet ends exactly, so there is no rounding step.

How this skill works

Multiplying both dividend and divisor by the same power of ten leaves their quotient unchanged. This can turn decimal division into an integer fraction.

Check by reversing the operation. A correct quotient multiplied by the original divisor reproduces the original dividend exactly.

Worked example

Calculate 1.44 ÷ 1.2.
  1. Multiply both numbers by 100: 144 ÷ 120.
  2. 144/120 = 12/10 = 1.2.
  3. Check: 1.2 × 1.2 = 1.44.

Answer: 1.2

Teaching notes

  • Move the decimal point in both dividend and divisor by the same amount.
  • Do not introduce a rounding step when the exact quotient is available.
Practice questions
  1. Calculate 4.48 ÷ 1.6.
  2. Calculate 0.90 ÷ 0.9.
  3. Calculate 3.61 ÷ 1.9.
  4. Calculate 0.12 ÷ 0.4.
  5. Calculate 8.12 ÷ 2.8.
  6. Calculate 1.60 ÷ 2.0.
  7. Calculate 1.89 ÷ 2.7.
  8. Calculate 3.60 ÷ 1.8.
  9. Calculate 3.00 ÷ 2.5.
  10. Calculate 2.00 ÷ 0.8.
  11. Calculate 4.84 ÷ 2.2.
  12. Calculate 2.97 ÷ 1.1.
Answers and steps
  1. 2.8
    1. Multiply both values by 100 without changing the quotient: 448 ÷ 160.
    2. Check by multiplying: 1.6 × 2.8 = 4.48.
  2. 1.0
    1. Multiply both values by 100 without changing the quotient: 90 ÷ 90.
    2. Check by multiplying: 0.9 × 1.0 = 0.90.
  3. 1.9
    1. Multiply both values by 100 without changing the quotient: 361 ÷ 190.
    2. Check by multiplying: 1.9 × 1.9 = 3.61.
  4. 0.3
    1. Multiply both values by 100 without changing the quotient: 12 ÷ 40.
    2. Check by multiplying: 0.4 × 0.3 = 0.12.
  5. 2.9
    1. Multiply both values by 100 without changing the quotient: 812 ÷ 280.
    2. Check by multiplying: 2.8 × 2.9 = 8.12.
  6. 0.8
    1. Multiply both values by 100 without changing the quotient: 160 ÷ 200.
    2. Check by multiplying: 2.0 × 0.8 = 1.60.
  7. 0.7
    1. Multiply both values by 100 without changing the quotient: 189 ÷ 270.
    2. Check by multiplying: 2.7 × 0.7 = 1.89.
  8. 2.0
    1. Multiply both values by 100 without changing the quotient: 360 ÷ 180.
    2. Check by multiplying: 1.8 × 2.0 = 3.60.
  9. 1.2
    1. Multiply both values by 100 without changing the quotient: 300 ÷ 250.
    2. Check by multiplying: 2.5 × 1.2 = 3.00.
  10. 2.5
    1. Multiply both values by 100 without changing the quotient: 200 ÷ 80.
    2. Check by multiplying: 0.8 × 2.5 = 2.00.
  11. 2.2
    1. Multiply both values by 100 without changing the quotient: 484 ÷ 220.
    2. Check by multiplying: 2.2 × 2.2 = 4.84.
  12. 2.7
    1. Multiply both values by 100 without changing the quotient: 297 ÷ 110.
    2. Check by multiplying: 1.1 × 2.7 = 2.97.