Math

QuestionRound 31.63831.638, 31.05831.058, and 31.4531.45 to the nearest hundredth and estimate the sum.

Studdy Solution

STEP 1

Assumptions1. We are asked to estimate the sum of the numbers 31.63831.638, 31.05831.058, and 31.4531.45 by rounding each number to the nearest hundredth.

STEP 2

First, we need to round each number to the nearest hundredth. The hundredth place is the second digit after the decimal point.

STEP 3

Let's start with the first number, 31.63831.638. The digit in the hundredth place is3, and the digit in the thousandth place (the digit to the right of the hundredth place) is8. If the digit in the thousandth place is5 or more, we round up the digit in the hundredth place.31.63831.6431.638 \approx31.64

STEP 4

Now, let's round the second number, 31.05831.058. The digit in the hundredth place is0, and the digit in the thousandth place is. If the digit in the thousandth place is or more, we round up the digit in the hundredth place.
31.05831.0631.058 \approx31.06

STEP 5

Finally, let's round the third number, 31.4531.45. The digit in the hundredth place is5, and there is no digit in the thousandth place. If there is no digit in the thousandth place, we leave the digit in the hundredth place as it is.
31.4531.4531.45 \approx31.45

STEP 6

Now that we have rounded each number to the nearest hundredth, we can estimate the sum of the numbers by adding the rounded numbers together.
Sum=31.64+31.06+31.45Sum =31.64 +31.06 +31.45

STEP 7

Calculate the estimated sum.
Sum=31.64+31.06+31.45=94.15Sum =31.64 +31.06 +31.45 =94.15The estimated sum of the numbers 31.63831.638, 31.05831.058, and 31.4531.45 when rounded to the nearest hundredth is 94.1594.15.

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