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Decimal equivalents of tenths and hundredths

Recognise and write decimal equivalents of any number of tenths or hundredths (e.g. 3/10 = 0.3, 27/100 = 0.27)

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What a learner can do afterwards

  • Write 7/10 as 0.7 and vice versa
  • Convert 45/100 to 0.45
  • Place 0.3 and 3/10 at the same point on a number line

1 · Read

You already know tenths: cutting something into 10 equal pieces, like 3/10. A decimal shows that same amount a different way, using a decimal point instead of a fraction line. Three tenths is written 0.3, with one digit right after the point.

012345678910
3/10 and 0.3 land on the exact same spot on this line of tenths.
Try it together

Now look at 45/100. A hundred is bigger than a ten, so hundredths need two digits after the point: 45/100 is 0.45. Compare that to 7/10, shown below, which only needs one digit: 0.7.

Tap to shade 7 of the 10 parts.
Good to know

Count the zeros on the bottom number of the fraction. One zero, like in 10, means one digit after the point. Two zeros, like in 100, means two digits.

Tenths use one digit after the decimal point, and hundredths use two. Each decimal lands at the same point as its matching fraction.

The rewritten reading was written for this dataset.

2 · Watch

Take it off screen

Print a worksheetA4 with an answer key page for grown-ups. No screen, no internet.

Where it sits

Where this leads

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

Then practise

16 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.

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Decimal equivalents of tenths and hundredths · Mathematics, ages 8 to 9 · LightMySky