Edexcel IGCSE Math A 1.9.A numbers in standard form

Practise standard-form questions by converting ordinary numbers and performing arithmetic before correcting the coefficient.

Exam points

Convert between ordinary numbers and a × 10^n for positive and negative powers.
Add, multiply or divide standard-form values before correcting the final coefficient.
Keep the final answer in standard form with coefficient 1 ≤ a < 10 after simplifying.

[Maximum number: 3]

(a)

Write $5.76 \times 10^{4}$ as an ordinary number.

[ 1 ]

(b)

Work out $\frac{3 \times 10^{5}+8 \times 10^{3}}{4 \times 10^{-2}}$

Give your answer in standard form.

[ 2 ]

Working:
$\frac{3\times10^5+8\times10^3}{4\times10^{-2}} =\frac{308000}{0.04} =7700000$

Final answer:
$7.7\times10^6$

M1 for a correct intermediate expression or 7700000, $77\times10^5$ , or $7.7\times10^n$ with $n\ne6$ . A1 for $7.7\times10^6$ .

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1.9.A Standard form question 1

Question (a)

Question (b)