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Decimal & Percent Notation

Read, write, and use decimal and percentage notation correctly — decimal, decimal point, tenths, hundredths, thousandths, percentage, per cent, % symbol, convert, terminating decimal — and understand the relationships between fractions, decimals, and percentages as three ways of expressing the same value

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What a learner can do afterwards

  • Read and write decimal numbers correctly, identifying the value of each digit (ones, tenths, hundredths)
  • Use the % symbol correctly and explain that per cent means 'out of 100'
  • Convert between simple fractions, decimals, and percentages (e.g. 1/2 = 0.5 = 50%) and explain why they are equal

The lesson

A decimal number uses a dot called the decimal point. The digits after the point show parts of a whole. The first digit after the point is the tenths place. The second digit is the hundredths place.

Tap to shade 5 of the 10 parts.
This bar has 10 equal parts, and 5 are shaded. That's 5 tenths, written as 0.5.

Percent means 'out of 100'. The % symbol is a quick way to write a number out of 100. So 50% means 50 out of 100.

Try it together

Mia has a ribbon and colors half of it. Half is the fraction 1/2. As a decimal, that's 0.5. As a percent, that's 50%, because 50 out of 100 is the same amount as half.

Tap to shade 1 of the 2 parts.
Good to know

To turn a decimal into a percent, move the decimal point two places to the right and add the % sign. So 0.5 becomes 50%.

Fractions, decimals, and percentages are three different ways to write the exact same amount.

Watch it

Where it sits

Where this leads

Jobs that lean on this skill. Follow one to see everything it is built on.

Then practise

8 questions wait behind this lesson, each with its answer explained. Every answer feeds the sky: stars light as they are learned, and dim when it is time to come back.

Decimal & Percent Notation · Mathematics, ages 8 to 11 · LightMySky