Convert 0.35 into the form pq.

Step-by-step solution

Idea: A terminating decimal with 2 decimal places is a number of hundredths. Write it over 100, then cancel common factors.

1. 0.35 has two decimal places, so 0.35 = 35100.½ mark
2. HCF of 35 and 100 is 5: 35 ÷ 5100 ÷ 5 = 720.½ mark

Check: 7 ÷ 20 = 0.35 ✓.

Answer to write in the exam

Common mistakes that cost marks

• Writing 0.35 = 3510. Two decimal places means hundredths.
• Leaving the answer as 35100 without reducing.
• Dividing 35 and 100 by different numbers when simplifying.

How this can come in the exam

Try one yourself

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