Math

QuestionFind the number of significant digits in the measurement 70.09in70.09 \, \text{in}.

Studdy Solution

STEP 1

Assumptions1. The measurement is 70.09in70.09 \, \text{in}

STEP 2

To determine the number of significant digits in a measurement, we need to understand the rules of significant figures.1. Non-zero digits are always significant.
2. Any zeros between significant digits are significant. . Leading zeros are not significant.
4. Trailing zeros are significant only if the number contains a decimal point.

STEP 3

Now, let's apply these rules to our measurement 70.09in70.09 \, \text{in}.

STEP 4

The number 70.0970.09 has four digits 77, 00, 00, and 99.

STEP 5

According to the rules, all non-zero digits are significant. So, 77 and 99 are significant.

STEP 6

The zero between $$ and $0$ is also significant because it is between significant digits.

STEP 7

The zero after the decimal point is significant because it is between significant digits.

STEP 8

So, all four digits in 70.0970.09 are significant.
Therefore, the number of significant digits in the measurement 70.09in70.09 \, \text{in} is4.

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