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Grade 6 · Maths · Lessons
Decimals times and shared out
✖️times➗divide•point🔢whole numbers
Decimals times and divide.
The big ideaWhole numbers first. Count the places. Make the divisor whole.

How it works

Do the whole numbers first. Count the places. The point drops straight down.

To divide, make the divisor whole by moving the point in both numbers the same number of places.

Estimate to check where the point goes.

Move the pointone place inboth364 ÷ 7= 52So 36.4 ÷ 0.7 =52
36.4 ÷ 0.7.

Example 1: Divide by a decimal

  1. 36.4 ÷ 0.7
  2. Make the divisor whole: 0.7 becomes 7, so 36.4 becomes 364.
  3. 364 ÷ 7 = 52.
  4. So the answer is 52.

Example 2: Times

  1. 9.4 × 0.17
  2. Multiply 94 × 17 = 1598.
  3. Count the places: 1 + 2 = 3, so 1.598.
  4. So the answer is 1.598.

Example 3: Divide by a whole number

  1. 5.013 ÷ 9
  2. 5013 ÷ 9 = 557.
  3. 5.013 has three places, so 0.557.
  4. So the answer is 0.557.

Words to know

divisor
The number you divide by.
decimal place
A digit after the point.

Watch out

Try it

  1. 0.71 × 37
  2. 64.4 ÷ 2.8
  3. 0.73 × 75
Answers: 1. 26.27 · 2. 23 · 3. 54.75
For grown-upsEstimate 9.4 × 0.17 as about 10 × 0.2 before working it out.
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