Closest Number Choice
Which of the following is closest to 67.4?
A 67.332.
B 67.473.
C 67.526.
D 67.445.
E 67.346.
Express your answer as A, B, C, D, or E.
- 1
- 2
- 3
- +
- 4
- 5
- 6
- -
- 7
- 8
- 9
- $\frac{a}{b}$
- .
- 0
- =
- %
- $a^n$
- $a^{\circ}$
- $a_n$
- $\sqrt{}$
- $\sqrt[n]{}$
- $\pi$
- $\ln{}$
- $\log$
- $\theta$
- $\sin{}$
- $\cos{}$
- $\tan{}$
- $($
- $)$
- $[$
- $]$
- $\cap$
- $\cup$
- $,$
- $\infty$
Solution
We can start by rounding each number to the nearest tenth. In order to round to the nearest tenth, we must look at whether the hundredths digit is less than 5, or greater than or equal to 5.
A The hundredths place in 67.332 is 3, which is less than 5, so the tenths place remains 3.67.332 rounds to 67.3.
B The hundredths place in 67.473 is 7, which is greater than 5, so the tenths place rounds up to 5. 67.473 rounds to 67.5.
C The tenths place in 67.526 is 5, so 67.526 can round to only 67.5 or 67.6, not 67.4.
D The hundredths place in 67.445 is 4, which is less than 5, so the tenths place remains 4. 67.445 rounds to 67.4.
E The hundredths place in 67.346 is 4, which is less than 5, so the tenths place remains 3.
Out of all the answer choices, $ \boxed{\text{D}} $ is the only one which rounds to 67.4 when rounded to the nearest tenth, so it must be the closest to 67.4.
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