Use a calculator to work out
$$
\frac{4.67 \times 10^{-5} \times 6.98 \times 10^{12}}{5.04 \times 10^{3}}
$$

Give your answer in standard form to 3 significant figures.

Question

Use a calculator to work out
$$
\frac{4.67 \times 10^{-5} \times 6.98 \times 10^{12}}{5.04 \times 10^{3}}
$$

Give your answer in standard form to 3 significant figures.

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ We start with the expression: ‖ $$ \frac{4.67 \times 10^{-5} \times 6.98 \times 10^{12}}{5.04 \times 10^{3}} $$ ‖ step 2 ⋮ Calculating the numerator: ‖ $$ 4.67 \times 10^{-5} \times 6.98 \times 10^{12} = 3.25846 \times 10^{8} $$ ‖ step 3 ⋮ Now, we divide by the denominator: ‖ $$ \frac{3.25846 \times 10^{8}}{5.04 \times 10^{3}} = 6.46 \times 10^{4} $$ ‖ step 4 ⋮ Converting to standard form to 3 significant figures: ‖ $$ 6.46 \times 10^{4} $$ ∻Answer∻ ⚹ $6.46 \times 10^{4}$ ⚹ ∻Key Concept∻ ⚹Standard form and significant figures⚹ ∻Explanation∻ ⚹The answer is expressed in standard form, which is a way of writing numbers that are too big or too small in a compact form, and it is rounded to three significant figures as requested.◊What is the process for converting a number into standard form?⍭ Generate me a similar question◊⚹

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