Question

Perform the forlowing

mathematical operation, and
report the answer to the correct
number of significant figures.
4568/13 = [?]

Answer 1

`\large \boxed{350}`

Step-by-step explanation:

In multiplication and division problems, the answer can have no more significant figures than the number with the fewest significant figures.

My calculator gives the result:

`(4568)/(13) = 351.3846154`

4658 has four significant figures.

13 has two significant figures.

You must round to two significant figures.

That is, you drop all the digits to the right of the 5 — the red line in Fig. 1 below. You are rounding to the nearest ten.

To round a number to the nearest ten, you look at the number in the ones place (1). See Fig. 2.

If the number to be dropped — the digit in the ones place — is less than 5, you drop the digit in the ones place (Fig. 3). It becomes a zero.

The number in the tens place is a trailing zero. It is not significant.

`\text{The quotient of $(4658)/(13)$ is $\large \boxed{\mathbf{350}}$}`