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Key Stage 3 Number

Powers, Roots and Accuracy

Use powers, roots, reciprocals, rounding and estimation to check answers.

Key idea

Choose a representation first, then calculate carefully and check whether the answer is reasonable.

What you will learn

Use powers confidently.
Use roots confidently.
Use rounding confidently.
Use estimation confidently.

Success checklist

I can explain what powers, roots and accuracy means.
I can choose a suitable method without being told.
I can show clear working and check my answer.

Worked example

Simplify 1824.

Model method

Step 1

Find a common factor of 18 and 24.

Step 2

Both numbers divide by 6.

Step 3

1824 = 34.

Answer

34

Quick practice

Question 1

Simplify 1525.

Question 2

Round 3.746 to 2 decimal places.

Question 3

Write 4,800 in standard form.

Related resources

These are linked to the wider Number topic for now.

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