Percents & Decimals

Practise converting between percents and decimals — the quick two-place shift that underpins all percentage work.

Grades 6–7 · 6.RP⚡ Conversions
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How percents and decimals connect

A percent is just a decimal in disguise: “per cent” means “per hundred,” so converting is only a matter of moving the decimal point two places — because dividing or multiplying by 100 shifts it two spots.

  1. Percent → decimal: divide by 100 — move the point two places left. 35% → 0.35.
  2. Decimal → percent: multiply by 100 — move the point two places right. 0.6 → 60%.
  3. Add zeros as needed: 7% → 0.07, and 0.5 → 50%.

Worked examples

Percent to decimalWrite 35% as a decimal — move the point two places left: 0.35.
Decimal to percentWrite 0.6 as a percent — move the point two places right: 60%.
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Tips & common mistakes

It’s always a two-place shift — the only thing to watch is which direction and whether you need to add a zero (7% is 0.07, not 0.7). Type your answer with the number and decimal-point keys.

  • Moving the point only one place (writing 35% as 3.5 instead of 0.35).
  • Forgetting the leading zero: 7% is 0.07, not 0.7.
  • Shifting the wrong direction — to a decimal go left, to a percent go right.

Frequently asked questions

How do you turn a percent into a decimal?

Divide by 100, which moves the decimal point two places left. 35% becomes 0.35 and 7% becomes 0.07.

How do you turn a decimal into a percent?

Multiply by 100, moving the point two places right. 0.6 becomes 60% and 0.05 becomes 5%.

Why two places?

Because percent means “out of 100,” and multiplying or dividing by 100 always shifts the decimal point two places.

Why is 7% equal to 0.07, not 0.7?

Because you move two places: 7 → 0.07. Forgetting the leading zero is the most common slip.

What grade is this?

Converting between percents and decimals is a grade 6–7 skill.

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