Math

QuestionFind the significant figures in the measurement: 60,810,000g60,810,000g.

Studdy Solution

STEP 1

Assumptions1. The measured quantity is 60,810,000g60,810,000g . We are following the rules of significant figures which state that a. Non-zero digits are always significant. b. Any zeros between significant digits are significant. c. Leading zeros are not significant. They are only placeholders. d. Trailing zeros in a number without a decimal point are not significant. They could be placeholders. The ambiguity can be resolved with scientific notation. e. Trailing zeros in a number with a decimal point are significant. They indicate the precision of the measurement.

STEP 2

We need to identify the significant figures in the given quantity. According to the rules of significant figures, we start counting from the first non-zero digit.

STEP 3

In the given quantity 60,810,000g60,810,000g, the first non-zero digit is6. So, we start counting from6.

STEP 4

We continue counting, including zeros that are between non-zero digits. In this case, the zeros between6 and8 are significant.

STEP 5

We stop counting after the last non-zero digit, which is1 in this case. The trailing zeros after1 are not significant because there is no decimal point in the number.

STEP 6

Count the number of significant figures.
The number of significant figures in 60,810,000g60,810,000g is5.

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