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Math

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PROBLEM

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

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.

SOLUTION

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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