lesson
Digits change their value
1 · Learn
Dividing by ten makes each digit worth one tenth as much. Dividing by one hundred makes it worth one hundredth as much.
For 37 ÷ 10, the 3 tens become 3 ones and the 7 ones become 7 tenths: 3.7. For 37 ÷ 100, the answer is 0.37. Do not use 'take away a zero' as a rule: 37 has no zero to remove.
2 · Worked example
Six divided by one hundred is 0.06. The zero in the tenths place matters: 0.6 is ten times larger.
3 · Your turn
Calculate 48 ÷ 10, 48 ÷ 100 and 9 ÷ 100.
Check your answer
4.8; 0.48; 0.09.
4 · Apply your learning
Move digit cards on a labelled place-value chart while keeping the decimal point between ones and tenths.
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Use practical or drawn representations and explain the method. Check units and labels. A correct answer to one example is not evidence of secure fluency; revisit with varied numbers and feedback.
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