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Decimals for Tenths & Hundredths

Use decimal notation for fractions with denominators 10 or 100; read and write decimal numbers as fractions (e.g. 0.62 = 62/100, 0.71 = 71/100)

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What a learner can do afterwards

  • Rewrite 0.62 as 62/100
  • Write 3/10 as 0.3 and locate on a number line
  • Read 0.07 and express as 7/100

The lesson

A decimal number and a fraction can be the same amount, just written two different ways. Look at the digits after the decimal point. The first digit is tenths. The second digit is hundredths.

Tap to shade 3 of the 10 parts.
0.3 has one digit after the point, so it is 3 tenths: 3/10.
Try it together

Look at 0.62. There are two digits after the point, 6 and 2, so the whole number is 62 hundredths. That means 0.62 = 62/100.

Try it together

Now try it the other way. The fraction 7/100 has a denominator of 100, so it needs two digits after the point. Written as a decimal, that is 0.07.

Good to know

Count the digits after the decimal point. One digit means tenths, out of 10. Two digits mean hundredths, out of 100.

One digit after the decimal point means tenths, two digits mean hundredths, and either way it's the same amount as the matching fraction.

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.

Decimals for Tenths & Hundredths · Mathematics, ages 9 to 10 · LightMySky