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Thousandths (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

1 · Read

The rain gauge needs finer marks to measure last night's rain. 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. One hundredth is 10 thousandths, and one tenth is 100 thousandths.

3403413423433443453463473483493505 steps
These ticks count thousandths, so 0.340 is 340 of them and 0.350 is 350. Five steps on from 340 lands on 345 thousandths, which is 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.

2 · Watch

3 · Play

step 1 of 7

Last market day you chalked 3/10 as 0.3 on the stall board. The rain gauge by the shed is a tall jug that holds one liter when it is full. Its tall marks cut the liter into 10, so each tall mark is a tenth.

Leo counts 10 smaller marks between two tall marks. What is one small mark worth?

Tap to shade 1 of the 10 parts.

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

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.

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