Math

QuestionDetermine the number of significant figures in 20.00320.00_{3}.

Studdy Solution

STEP 1

Assumptions1. The number given is 20.00320.00_{3}. . We are asked to find the number of significant figures in this number.
3. We assume that the subscript "3" indicates the number is in base3.

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, zeros between non-zero numbers, and trailing zeros in the decimal portion.

STEP 3

In the number 20.00320.00_{3}, we have two non-zero numbers (2 and3) and two trailing zeros in the decimal portion.

STEP 4

Count the significant figures in the number.
Significantfigures=2(forthenonzeronumbers)+2(forthetrailingzeros)Significant\, figures =2\, (for\, the\, non-zero\, numbers) +2\, (for\, the\, trailing\, zeros)

STEP 5

Calculate the number of significant figures.
Significantfigures=2+2=4Significant\, figures =2 +2 =4The number 20.00320.00_{3} has4 significant figures.

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