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Tenths (age 9+)

Recognise and use thousandths; relate them to tenths, hundredths, and their decimal equivalents (e.g. 1/1000 = 0.001, 35/1000 = 0.035)

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What a learner can do afterwards

  • Write 0.025 as 25/1000
  • Explain that 1 tenth = 100 thousandths
  • Place 0.345 on a number line between 0.34 and 0.35

The lesson

You already know tenths (0.1) and hundredths (0.01). Cut a hundredth into 10 even smaller pieces, and each piece is a thousandth. A thousandth is written 0.001, or as the fraction 1/1000.

0123456789100.345
Between 0.340 and 0.350 there are 10 tiny steps. Each step is one thousandth, so five steps lands on 0.345.
Try it together

Priya measures 0.035 liters of medicine. She checks the digits after the point: 0 tenths, 3 hundredths, 5 thousandths, which is 35 thousandths in all. As a fraction, that is 35/1000.

Good to know

Count the digits after the decimal point. Three digits means thousandths, so 0.006 is 6 thousandths, not 6 hundredths.

Three decimal places means thousandths, and one hundredth is worth 10 thousandths.

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.

Tenths (age 9+) · Mathematics, ages 9 to 10 · LightMySky