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QuestionEstimate Colorado's 2020 population, 5,846,0005,846,000, as a single digit times a power of 10: A. 5×1065 \times 10^{6} B. 5×1055 \times 10^{5} C. 6×10−66 \times 10^{-6} D. 6×1066 \times 10^{6}

Studdy Solution

STEP 1

Assumptions1. The population of Colorado in2020 is approximately5,846,000. . We are looking for the best approximation of this number as a single digit times a power of10.

STEP 2

We need to express the population of Colorado as a single digit times a power of10. This is a common way to express large numbers in scientific notation.
Population=Digittimes10PowerPopulation = Digit \\times10^{Power}

STEP 3

The digit should be the first non-zero digit in the population number, and the power should be the number of places that digit is from the end of the number.In this case, the first non-zero digit in the population number is5, and it is6 places from the end of the number.So, the best approximation of the population of Colorado in2020 isPopulation=5times106Population =5 \\times10^{6}Comparing this with the given options, we see that option A matches our calculation.
Therefore, the best approximation of the population of Colorado in2020 is 5×1065 \times10^{6}.

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