2016 CEMC Gauss (Grade 8) Problems/Problem 4

Problem

Three tenths plus four thousandths is equal to

$\text{ (A) }\ 4030 \qquad\text{ (B) }\ 0.0403 \qquad\text{ (C) }\ 0.304 \qquad\text{ (D) }\ 0.34 \qquad\text{ (E) }\ 30.004$

We can convert each fraction into a decimal, and then add them.

$\frac{3}{10} = 0.3$

$\frac{4}{1000} = 0.004$

Adding these, we have $0.3 + 0.004 = 0.300 + 0.004 = \boxed {\textbf {(C) } 0.304}$

~anabel.disher

We can combine the fractions using a common denominator, and then convert the result into a decimal.

$\frac{3}{10} + \frac{4}{1000} = \frac{3 \times 100}{10 \times 100} + \frac{4 \times 1}{1000 \times 1} = \frac{300}{1000} + \frac{4}{1000}$

$=\frac{300 + 4}{1000} = \frac{304}{1000} = \boxed {\textbf {(C) } 0.304}$

~anabel.disher