QuestionCount the significant figures in the number $0.00000000000022$ .

Studdy Solution

STEP 1

Assumptions1. We are asked to find the number of significant figures in the number $0.00000000000022$ . . In significant figures, any non-zero digit is considered significant.
3. Zeroes appearing anywhere in between the significant digits are significant.
4. Leading zeroes do not count as significant figures.
5. Trailing zeroes are significant only if they are after the decimal point.

STEP 2

First, we need to identify the non-zero digits in the number.In the number $0.00000000000022$ , the non-zero digits are $2$ and $2$ .

STEP 3

Next, we need to identify the leading zeroes.In the number $0.00000000000022$ , all the zeroes before the $2$ 's are leading zeroes.

STEP 4

According to the rules of significant figures, leading zeroes do not count as significant figures.So, in the number $0.00000000000022$ , the leading zeroes are not significant.

STEP 5

Now, we count the number of significant figures in the number $0.00000000000022$ .
The significant figures are $2$ and $2$ , so there are $2$ significant figures in the number.
Therefore, the number $0.00000000000022$ has $2$ significant figures.

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