Question #a6432

1 Answer
Nov 19, 2017

Presuming that the number provided is an amount of money expressed in dollars and cents, #$115.54#

Explanation:

When rounding a number to a certain degree of precision (e.g. to the nearest 100, or 10, or whole number, or tenths place, or hundredths place, etc), you look at the number after the desired degree of precision. If this number is below 5, you drop this number and any digit after it. If the number is 5 or higher, you increase the number in the degree of precision by 1, and then drop every digit afterwards.

For example, in this case, the 3 digit is in the hundredths place. When given a price that has both dollars and cents, you typically have up to 99 cents, meaning you only have 2 relevant places after the decimal, tenths and hundredths. Thus, we look at the digit after the 3

Since 6 is greater than or equal to 5, we know we will be rounding up. We change the 3 to a 4, and discard every digit after the 3.

#$115.536 -> $115.54#

It wouldn't matter if we had another 50 digits after the 3 in the initial number; all would be discarded after performing our rounding.