Worksheets · Foundation and Higher

Standard form and calculator entry

3 exam-style questions. Answers and the mark for each step are on the last page.

1. Question 1Non-calculator · 3 marks

   Answer each part without a calculator.

   (a) Write $45\,000$ in standard form. (1)

   (b) Write $3.2 \times 10^{-3}$ as an ordinary number. (1)

   (c) Which is larger, $6 \times 10^5$ or $5.9 \times 10^6$? (1)

   1. $6 \times 10^5$
   2. $5.9 \times 10^6$
2. Question 2Non-calculator · 4 marks

   A particle has mass $4\times10^{-6}$ g. A sample contains $7\times10^8$ particles.

   (a) Find the total mass in grams, in standard form. (2)

   (b) Express the mass in kilograms. (2)
3. Question 3Calculator · 3 marks

   (a) Work out ((3.6 $\times$ $10^{-4}$) $\times$ (8 $\times$ $10^{7}$)) $\div$ (1.2 $\times$ $10^{2}$). Give your answer in standard form. (3)