Place value
Place value means a digit's value depends on its position in a number. In 352, the 3 is worth 300, the 5 is worth 50 and the 2 is worth 2.
Maths · Ages 6–7 · 50 minutes
Children show two-digit numbers with tens and ones and explain what each digit is worth.
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Count in tens from 0 to 100 together, then back. Then count in tens from 4: 4, 14, 24, 34. "What stays the same? What changes?" Children should notice that the ones digit stays the same.
Quick fire on whiteboards: "Write the number that is ten more than 23." Repeat with 41 and 70.
Tip out 34 loose straws. "How many? Counting one by one would take ages. Let's make bundles of ten." Bundle three tens with elastic bands while children count. Four are left over.
"Three bundles of ten and four ones. That's 30 and 4, which makes 34."
Put them on a place-value mat: tens on the left, ones on the right. Write 34 above. Point to the 3: "This 3 isn't worth three. It's worth three tens: thirty." Point to the 4: "This one is worth four ones."
Step by step
Now swap the digits: 43. "Same digits. Is it the same number?" Build it: four bundles and three loose straws. "Place changes value. That's why it's called place value."
Show one tricky case: 40. "Four tens and no ones. The zero holds the ones place, so we don't mix 40 up with 4."