Math

QuestionCount the significant figures in the number 6.17000×1056.17000 \times 10^{5}.

Studdy Solution

STEP 1

Assumptions1. The number is 6.17000×1056.17000 \times10^{5} . We need to find the number of significant (.F.s) in the given number

STEP 2

First, we need to understand what significant figures are. Significant figures are all the digits in a number that carry meaningful information about its precision. This includes all non-zero numbers, zeroes between non-zero numbers, and zeroes at the end of a decimal number.

STEP 3

Now, let's identify the significant figures in the given number.The number 6.17000×1056.17000 \times10^{5} is in scientific notation. In scientific notation, all digits in the coefficient (the number before the multiplication sign) are significant.

STEP 4

Count the number of digits in the coefficient.The coefficient in the given number is 6.170006.17000.

STEP 5

Calculate the number of significant figures in the coefficient.
The coefficient .17000.17000 has digits, all of which are significant.Therefore, the number .17000×105.17000 \times10^{5} has significant figures.

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