Math

QuestionRewrite 76.00 with 1 significant figure.

Studdy Solution

STEP 1

Assumptions1. We need to rewrite the number76.00 to have1 significant figure. . The rules of significant figures state that all non-zero numbers are significant, zeros between non-zero numbers are significant, and zeros at the end of a number and after the decimal point are significant.
3. In this case, we are asked to rewrite the number to have only one significant figure.

STEP 2

First, we need to identify the first non-zero digit in the number. This will be our one significant figure.In the number76.00, the first non-zero digit is7.

STEP 3

Next, we need to look at the digit following our significant figure to determine if we should round up or keep the significant figure as is.In the number76.00, the digit following our significant figure (7) is6.

STEP 4

According to the rules of rounding, if the digit following our significant figure is or greater, we round up. If it's less than, we keep the significant figure as is.
Since the digit following our significant figure is6, which is greater than, we round up.

STEP 5

Rounding up the significant figure7, we get8.

STEP 6

Finally, we replace the remaining digits with zeros to maintain the place value.Since the original number was76.00, after rounding we get80.00.

STEP 7

However, since we only want1 significant figure, we drop the unnecessary zeros and the decimal point.
So,76.00 with1 significant figure is80.
The number76.00 rewritten to have1 significant figure is80.

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