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Question
- scientific notation is a way to express extremely big and extremely small numbers using exponents. for example, the water surface area of the earth is 1.4 x 10^8. how would this number be written in standard form? 8) extremely small numbers are expressed with negative exponents. for example, the mass of a dust particle is 7.53 x 10^-10. this means the same thing as 7.53 ÷ 10^10. how would this number be written in standard form?
Step1: Convert \(1.4\times10^{8}\) to standard form
When converting \(a\times10^{n}\) (\(n>0\)) to standard form, we move the decimal point \(n\) places to the right. For \(1.4\times10^{8}\), \(n = 8\).
$$1.4\times10^{8}=140000000$$
Step2: Convert \(7.53\times10^{- 10}\) to standard form
When converting \(a\times10^{-n}\) (\(n>0\)) to standard form, we move the decimal point \(n\) places to the left. For \(7.53\times10^{-10}\), \(n = 10\).
$$7.53\times10^{-10}=0.000000000753$$
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- \(140000000\)
- \(0.000000000753\)