CAIE IGCSE Mathematics Core C1.8 Standard Form Questions

Practise converting, comparing and calculating with numbers written as a value from one to ten multiplied by an integer power of ten.

Exam points

write ordinary values as A × 10^n with 1 ≤ A < 10 and an integer exponent
convert a standard-form value back to an ordinary number using the exponent's sign
calculate with standard-form values and normalise the final coefficient to the required range

[Maximum number: 1]

Sam writes 851000 in standard form as $85.1\times10^4$ .
Explain why $85.1\times10^4$ is not a number in standard form.

In standard form the value is written as $a\times10^n$ where $1\leqslant a<10$ and 85.1 is greater than 10 oe

[Maximum number: 1]

Roberto and his family fly from London to Los Angeles on a holiday.

The family visit a national park which has an area of $4986 \mathrm{~km}^{2}$ .

Write 4986 in standard form.

$4.986\times10^3$

[Maximum number: 2]

(a)

Write 587000 in standard form.

[ 1 ]

$5.87\times10^5$ cao

(b)

Calculate $4.9\times10^{-3}+8.1\times10^{-4}$ .
Give your answer in standard form.

[ 1 ]

$5.71\times10^{-3}$ cao

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