75 sits exactly halfway between 70 and 80 on the number line. Rounded to the nearest ten, what does 75 become?
A70
B75
C77
D80
Answer & Solution
Correct answer: D. 80
1. 75 is exactly midway between 70 and 80, so it is not obviously closer to either one.
2. To keep rounding consistent, mathematicians agreed that a number exactly halfway always rounds to the higher value.
3. Applying that rule, 75 rounds up to 80.
4. Rounding down to 70 ignores the halfway convention, and 77 and 75 are not even multiples of ten, so they cannot be the rounded result.
_Source: OpenStax Prealgebra (CC BY 4.0), Ch 1 "Whole Numbers", section 1.1 Introduction to Whole Numbers_
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