Maths Library

Dividing Decimals: Grade 5 math

This topic covers dividing decimals by integers and by other decimals. Students practise using equivalent fractions to create integer divisors and applying long or short division.

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What this covers

Dividing Decimals is taught in Grade 5 (age 10 to 11) as a main teaching focus. It sits in the Decimals strand.

Worked example

Calculate 4.80.06

  1. Multiply dividend and divisor by 100 to make divisor whole: 4806
  2. Perform division: 4806 = 80
  3. Write final quotient

Answer: 80

Difficulty scale

The sheet generator offers five difficulty settings for this topic.

  1. Dividing a 1 d.p. decimal by a single-digit integer with no remainder
  2. Dividing a 2 d.p. decimal by a single-digit integer, terminating answer
  3. Dividing an integer by a decimal with 1 d.p., requiring scaling by 10
  4. Dividing a decimal by a decimal with up to 2 d.p., requiring scaling
  5. Long division by 2-digit decimals or word problems with contextual units

Common mistakes

  • Forgetting to multiply the dividend by the same power of 10 as the divisor
  • Misplacing the decimal point in the quotient directly above the dividend

Curriculum links

Indicative matches to Common Core State Standards. Check wording and codes against the official document.

  • 5.NBT.B.7 Add, subtract, multiply, and divide decimals to hundredths using concrete models or written strategies.

Sample sheet and answers

Six questions at the level's usual difficulty. Open the editor to change, add or regenerate any of them.

Dividing Decimals

Grade 5 math

Qs
6
Marks
6
NameDateScore / 6
1.
48.3 ÷ 7 =
[1]
2.
15.3 ÷ 9 =
[1]
3.
22.8 ÷ 4 =
[1]
4.
39.2 ÷ 4 =
[1]
5.
47.2 ÷ 8 =
[1]
6.
9.0 ÷ 6 =
[1]

Answer key

  1. 6.948.3 ÷ 7: divide as whole numbers and keep the decimal point in line; = 6.9
  2. 1.715.3 ÷ 9: divide as whole numbers and keep the decimal point in line; = 1.7
  3. 5.722.8 ÷ 4: divide as whole numbers and keep the decimal point in line; = 5.7
  4. 9.839.2 ÷ 4: divide as whole numbers and keep the decimal point in line; = 9.8
  5. 5.947.2 ÷ 8: divide as whole numbers and keep the decimal point in line; = 5.9
  6. 1.59.0 ÷ 6: divide as whole numbers and keep the decimal point in line; = 1.5