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Key Stage 3 Number

Ordering Decimals and Fractions

Compare decimals, fractions and percentages by using common representations.

Key idea

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

What you will learn

Use equivalent forms confidently.
Use ordering confidently.
Use comparing confidently.
Use place value confidently.

Success checklist

I can explain what ordering decimals and fractions 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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