Maths Library

Dividing Decimals: Grade 6 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 6 (age 11 to 12) as a topic to introduce. 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.

  • 6.NS.B.3 Fluently add, subtract, multiply, and divide multi-digit decimals using standard algorithms.

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 6 math

Qs
6
Marks
24
NameDateScore / 24
1.
48.3 ÷ 7 =
[4]
2.
15.3 ÷ 9 =
[4]
3.
22.8 ÷ 4 =
[4]
4.
39.2 ÷ 4 =
[4]
5.
47.2 ÷ 8 =
[4]
6.
9.0 ÷ 6 =
[4]

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