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Grade 5 · Maths · Lessons
Powers of ten
🔟ten💯hundred1️⃣0️⃣0️⃣0️⃣thousand•point jumps
Powers of ten.
The big ideaCount the zeros. The point jumps that many places: right to multiply, left to divide.

How it works

Count the zeros. The point jumps that many places: right to multiply, left to divide.

96 × 1000: the point jumps 3 places to the right, so 96000.

862 ÷ 100: the point jumps 2 places to the left, so 8.62.

382Count thezeros: 2Jump the point2 right38200
Times 100.

Example 1: Multiply by 1000

  1. How many places does the point move from 96 to 96000?
  2. 96 to 96000 has 3 more zeros.
  3. The point moves 3 places.
  4. So the answer is 3.

Example 2: Divide by 100

  1. How many places does the point move from 862 to 8.62?
  2. 862 to 8.62.
  3. The point moves 2 places left.
  4. So the answer is 2.

Example 3: Times 100

  1. 382 × 100 = ?
  2. 100 has 2 zeros.
  3. Add two zeros: 38200.
  4. So the answer is 38200.

Words to know

power of ten
10, 100, 1,000 and so on.
place value
What a digit is worth by its place.

Watch out

Try it

  1. How many places does the point move from 47 to 4700?
  2. 953 ÷ 100 = ?
  3. 10² = ?
Answers: 1. 2 · 2. 9.53 · 3. 100
For grown-upsMultiply and divide your pocket money by ten and one hundred.
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