Answer the following.(a) The signal from a certain satellite takes approximately 0.013 seconds to reach Earth. Write this number in scientific notation.(b) The total surface area of Africa is approximately ×1.17107 square miles. Write this number in standard notation.
Question
Answer the following.(a) The signal from a certain satellite takes approximately 0.013 seconds to reach Earth. Write this number in scientific notation.(b) The total surface area of Africa is approximately ×1.17107 square miles. Write this number in standard notation.
Solution
(a) The signal from a certain satellite takes approximately 0.013 seconds to reach Earth. To write this number in scientific notation, we look for the first non-zero digit, which is 1. We then count the number of places we have to move the decimal to get a number between 1 and 10, which is 2. Since we are moving the decimal to the right, the exponent will be negative. Therefore, 0.013 in scientific notation is 1.3 x 10^-2.
(b) The total surface area of Africa is approximately ×1.17107 square miles. This number seems to be already in scientific notation, but it's missing the base (10) and the exponent. If we assume the base is 10 and the exponent is 7 (which is common in scientific notation), then the number in standard notation would be 11710700. However, without the correct base and exponent, it's impossible to accurately convert this number to standard notation.
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The total surface area of Africa is approximately ×1.17107 square miles. Write this number in standard notation.
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