lesson

Three places after the point

1 · Learn

One thousandth is 0.001. Ten thousandths make one hundredth, and one hundred hundredths make one whole. In 2.347, the digits after the point represent three tenths, four hundredths and seven thousandths.

Read each place rather than treating 347 as a whole-number part. 0.347 is 347/1000; it is smaller than one.

2.347 = 2 + 0.3 + 0.04 + 0.0070.347 = 347/1000
Key words and supplied examples.

2 · Worked example

I compare 0.507 with 0.57 by writing 0.57 as 0.570. Seven hundredths are greater than zero hundredths, so 0.570 is larger.

3 · Your turn

Write 0.608 as a fraction with denominator 1,000. Order 0.608, 0.680 and 0.068.

Check your answer

608/1000; 0.068, 0.608, 0.680.

4 · Apply your learning

Place the values on a labelled chart and explain the role of each zero.

Adult guidance and safety

Model the calculation or measurement before relying on a procedure. Explain estimates, units and checks. Use a ruler/protractor and suitable diagrams where needed; text examples alone do not establish practical skill or fluency.

Open your writing and drawing pad

Write, draw or show your working. Use a mouse, pen or finger. This pad is not a submitted answer.

Not saved to your account. Download your drawing as PNG and your typed notes as TXT before leaving or refreshing. They are separate files. Do not enter private information.

Open a picture saved on this device to draw on it again. Opening replaces the drawing, but Undo can restore it. PNG only, up to 4 MB and 4096 × 4096 pixels. The picture stays in this browser; it is not uploaded. Paper lines in a saved picture become part of that picture.

Drawing is unavailable. Use the typed working area below.

Your pad is empty.

Open a UTF-8 TXT file from this device, up to 40 KB and 10,000 characters. It stays in this browser. Opening can be undone until you type again. Downloads keep a new copy; they do not change the file you opened.

Typed notes are not submitted answers.

Check a calculation · Year 5 onward

Use this only when your teacher or adult allows a calculator for the task. Show your thinking first. It does not replace mental or written arithmetic and does not mark your lesson answer.

Practice this lesson

Lesson resources

Browse the available practice activities and worksheets for this lesson.

Open course resources

Your progress

Ready to continue?