Calculating in Scientific Notation Worksheet with Answer Key

What's on the worksheet

1. Multiply and divide, giving each answer in scientific notation:
   (3 \times 10^{4})(2.1 \times 10^{6})(7 \times 10^{-5})(6 \times 10^{9})(2.5 \times 10^{-3})(4 \times 10^{-7})(9.6 \times 10^{8}) \div (3 \times 10^{2})(2.8 \times 10^{-4}) \div (7 \times 10^{3})
2. Add or subtract, giving each answer in scientific notation:
   4.6 \times 10^{7} + 2.3 \times 10^{7}9.4 \times 10^{3} + 8.8 \times 10^{3}5.2 \times 10^{8} - 3 \times 10^{7}6 \times 10^{-6} + 7.5 \times 10^{-7}3.01 \times 10^{4} - 2.96 \times 10^{4}
3. Find the integer exponent that makes each equation true:
   (6 \times 10^{k})(4 \times 10^{3}) = 2.4 \times 10^{9}(2 \times 10^{-4}) \div (8 \times 10^{k}) = 2.5 \times 10^{-12}(9 \times 10^{k})(5 \times 10^{-6}) = 4.5 \times 10^{-2}\dfrac{3 \times 10^{k}}{6 \times 10^{-2}} = 5 \times 10^{-3}
4. Find the mistake in each of Isabel's four calculations and correct it:
5. Word problem: the mass of screws a factory makes in a day.
6. Word problem: how many snowflakes fell in a snowstorm?
7. Word problem: the total time of a computer chip's three steps.
8. Decide whether the exponent of a product is m plus n or one more, without multiplying out.