Write \( 45\,000 \) in standard form.
\( 4.5 \times 10^4 \).
Standard Form
8 exam-style questions on writing numbers in standard form, converting, and calculating with standard form.
3 Easy 3 Medium 2 Hard
Write \( 0.00036 \) in standard form.
\( 3.6 \times 10^{-4} \).
Write \( 7.2 \times 10^3 \) as an ordinary number.
\( 7200 \).
Calculate \( (3 \times 10^4) \times (2 \times 10^3) \). Give your answer in standard form.
\( 6 \times 10^7 \).
Calculate \( \dfrac{8 \times 10^6}{2 \times 10^2} \). Give your answer in standard form.
\( 4 \times 10^4 \).
Work out \( (4.5 \times 10^5) + (3.2 \times 10^4) \). Give your answer in standard form.
\( 4.5 \times 10^5 + 0.32 \times 10^5 = 4.82 \times 10^5 \).
The distance from Earth to the Sun is approximately \( 1.5 \times 10^{11} \) m. Light travels at \( 3 \times 10^8 \) m/s. How long does light take to travel this distance? Give your answer in minutes.
Time \( = \dfrac{1.5 \times 10^{11}}{3 \times 10^8} = 5 \times 10^2 = 500 \) s \( = \dfrac{500}{60} \approx 8.33 \) minutes.
Calculate \( \dfrac{(2.4 \times 10^3) \times (5 \times 10^{-2})}{1.2 \times 10^{-1}} \). Give your answer in standard form.
Numerator: \( 1.2 \times 10^2 \). Divide by \( 1.2 \times 10^{-1} \): \( 1 \times 10^{3} = 1 \times 10^3 \).