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Math

Math Snap

PROBLEM

Find the significant figures in the number 248.0248.0.

STEP 1

Assumptions1. We are given the number 248.0248.0
. We need to determine the number of significant figures in this number3. We follow the rules of significant figures, which are - All non-zero digits are considered significant - Any zeros between significant digits are significant - Leading zeros are not significant - Trailing zeros in a number with a decimal point are significant

STEP 2

Identify the non-zero digits in the number.In 248.0248.0, the non-zero digits are 22, 44, and 88.

STEP 3

Identify any zeros between significant digits.
In 248.0248.0, there are no zeros between significant digits.

STEP 4

Identify any leading zeros.
In 248.0248.0, there are no leading zeros.

STEP 5

Identify any trailing zeros in a number with a decimal point.
In 248.0248.0, there is one trailing zero after the decimal point.

STEP 6

Count the total number of significant figures.
The number of significant figures in 248.0248.0 is the sum of non-zero digits and any trailing zeros in a number with a decimal point.

SOLUTION

Calculate the total number of significant figures.
The number of significant figures in 248.0248.0 is 33 (from the non-zero digits 22, 44, and $$) plus $1$ (from the trailing zero after the decimal point), which equals $4$.
The number 248.0248.0 has 44 significant figures.

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