Math

QuestionCount the significant figures in the number 0.00521.

Studdy Solution

STEP 1

Assumptions1. We are asked to find the number of significant figures in the number0.00521. We are using the standard rules for significant figures

STEP 2

The first rule to remember is that non-zero digits are always significant.

STEP 3

The second rule is that any zeros between significant digits are significant.

STEP 4

The third rule is that leading zeros are not significant. They are only placeholders.

STEP 5

The fourth rule is that trailing zeros are significant only if they are after a decimal point.

STEP 6

Now, let's apply these rules to our number,0.00521.

STEP 7

First, we can see that the number0.00521 has three non-zero digits5,2, and1. According to our first rule, these are all significant.

STEP 8

Second, there are no zeros between significant digits in our number, so the second rule does not apply.

STEP 9

Third, there are two leading zeros in our number. According to our third rule, these are not significant.

STEP 10

Fourth, there are no trailing zeros in our number, so the fourth rule does not apply.

STEP 11

By adding up the significant figures from our rules, we find that there are3 significant figures in the number0.00521.
The number0.00521 has3 significant figures.

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