QuestionCount the significant figures in the number $2.005 \times 10^{-9}$ .

Studdy Solution

STEP 1

Assumptions1. The number is $.005 \times10^{-9}$ . We are asked to find the number of significant figures in this number

STEP 2

We need to understand what significant figures are. Significant figures are all the digits in a number that carry meaningful information about its precision. In general, all non-zero numbers, zeroes between non-zero numbers, and zeroes to the right of both the decimal point and the last non-zero number are considered significant.

STEP 3

We can see that the number $2.005 \times10^{-9}$ is in scientific notation. In scientific notation, all digits in the coefficient (the number before the multiplication sign) are significant. The exponent of10 does not affect the number of significant figures.

STEP 4

Let's count the significant figures in the coefficient $2.005$ .

STEP 5

The coefficient $2.005$ has four significant figures the digits2,0,0, and5.So, the number $2.005 \times10^{-9}$ has4 significant figures.

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