Multiply 2.079x102 by 0.082x10-1, taking into account significant figures.

1.7

Step-by-step explanation:

Significant figures : The figures in a number which express the value -the magnitude of a quantity to a specific degree of accuracy is known as significant digits.

Rules for significant figures:

Digits from 1 to 9 are always significant and have infinite number of significant figures.

All non-zero numbers are always significant.

All zero’s between integers are always significant.

All zero’s preceding the first integers are never significant.

All zero’s after the decimal point are always significant.

The rule apply for multiplication and division is:

The least precise number determines the number of significant figures in the answer.

As the values are and , which contain 4 and 2 significant digits respectively, thus the answer would contain 2 significant digits.

Multiplication:

Thus the answer is 1.7 with 2 significant digits.

$15 each

step-by-step explanation:

$45/3 children= $15 each

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)