Dividing decimals

About this lesson

Grade 6 › Arithmetic in base ten

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Dividing decimals

Arithmetic in base ten. decimals, adding decimals, multiplying decimals, dividing decimals, long division

Warm-up

Three quick questions from earlier lessons.

Discover

How many 0.5-liter bottles can be filled from 3 liters?

  1. 6
  2. 1.5

Key idea

Make the divisor a whole number.

To divide by a decimal, multiply both numbers by 10, 100, … until the divisor is whole: a÷b=(10a)÷(10b)a \div b = (10a) \div (10b). Then divide; use long division and keep going after the point if needed. Dividing by a number less than 1 gives a larger result.

Worked example

4.8÷0.64.8 \div 0.6.

48÷648 \div 6
× 10 both.
88
Divide.

Your turn, guided

Your turn: 9.6÷49.6 \div 4.

2.42.4
96 tenths ÷ 4.

Practice ★

  1. Compute 7.3÷27.3 \div 2.
  2. Compute 5.7÷25.7 \div 2.
  1. Compute 97÷0.197 \div 0.1.

Watch out!

Practice ★★

  1. How many 0.5-liter cups can be filled from 1.9 liters of juice? Compute 1.9÷0.51.9 \div 0.5.
  2. How many 0.4-liter cups can be filled from 8.2 liters of juice? Compute 8.2÷0.48.2 \div 0.4.

Exit ticket

Three questions to check you have got it.

  1. Compute 7.3÷27.3 \div 2.
  2. Compute 5.7÷25.7 \div 2.
  3. Compute 2.9÷42.9 \div 4.

Summary card

Dividing decimals

Scale both numbers to make the divisor whole.

Watch out: dividing by 0.something makes it bigger.

End of the lesson

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