lesson

Which benchmark is nearer?

1 · Learn

To round to the nearest hundred, find the hundreds on either side. For 3,462 they are 3,400 and 3,500. The midpoint is 3,450, so 3,462 rounds to 3,500.

The requested place matters. The same number rounds to 3,460 to the nearest ten and 3,000 to the nearest thousand. At an exact halfway point for these positive numbers, round to the higher benchmark.

3,462 → 3,460 nearest 103,462 → 3,500 nearest 1003,462 → 3,000 nearest 1,000
Key words and supplied examples.

2 · Worked example

For 6,500 to the nearest thousand, I choose 7,000 because it is exactly halfway between 6,000 and 7,000.

3 · Your turn

Round 2,748 to the nearest ten, hundred and thousand.

Check your answer

2,750; 2,700; 3,000.

4 · Apply your learning

Mark the two benchmarks and midpoint on a number line before rounding each new example.

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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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