Math

QuestionApproximate the total candy bars purchased in one year if 1.2 thousand are bought per minute. Use 5.3×1055.3 \times 10^5 minutes/year.

Studdy Solution

STEP 1

Assumptions1. We purchase1. thousand candy bars per minute. . There are approximately 5.3×1055.3 \times10^5 minutes in a year.
3. We need to find the total number of candy bars purchased in a year.

STEP 2

First, we need to find the total number of candy bars purchased in a year. We can do this by multiplying the number of candy bars purchased per minute by the number of minutes in a year.
Totalcandybars=Candybarsperminute×MinutesinayearTotal\, candy\, bars = Candy\, bars\, per\, minute \times Minutes\, in\, a\, year

STEP 3

Now, plug in the given values for the number of candy bars purchased per minute and the number of minutes in a year to calculate the total number of candy bars.
Totalcandybars=1.2×103×5.3×105Total\, candy\, bars =1.2 \times10^3 \times5.3 \times10^5

STEP 4

Use the rule of multiplication for powers of10, which states that when multiplying two powers of10, you can add the exponents.
Totalcandybars=1.2×.3×103+Total\, candy\, bars =1.2 \times.3 \times10^{3+}

STEP 5

Calculate the product of1.2 and5.3, and keep the power of10 as it is.
Totalcandybars=.36×108Total\, candy\, bars =.36 \times10^8So, approximately .36×108.36 \times10^8 candy bars are purchased in a year.

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