Answer
a. $5.08\times10^{+3}$ L
b. $3.74\times10^{+4}$ g
c. $1.05\times10^{+5}$ m
d. $2.51\times10^{-4}$ s
Work Step by Step
STEP 1:
put the numbers in scientific notation, which is a simpler way to write very large or very small numbers.
ex: 5080 L becomes $5.080\times10^{3}$ L
- If the number is smaller than 1, the decimal point has to move to the right, so the power of 10 is negative.
- If the number is 10 or greater, the decimal point has to move to the left, and the power of 10 is positive.
STEP 2:
Round off each of the following numbers to three significant figures
ex: $5.080\times10^{3}$ becomes $5.08\times10^{3}$
- If the first digit to be dropped is 4 or less, we have to drop it and all following digits from the number.
-If the first digit to be dropped is 5 or greater, we have to increase by 1 the last retained digit of the number.
You can find the answer to this question on pages 31 and 33.
