Explanation:
Now--this is an awfully odd way to word a question.
BUT, it is solvable!
digits have "place values" in numbers, let's focus on after the decimal point:
_ . _ _ _ _ _ '
we know this can go on forever, but we don't need it to (for this problem, that is)
_ . _ _ _
_ . {tenths} {hundredths} {thousandths} ........
we want to know how many thousandths we have:
the answer to this problem (0.0378 / 0.21) is 0.18
{let's consider what we know about place values:}
"10" can be thought of as ten-ones
and "1" can be thought of as ten tenths
{the reason it's always ten __ is that we use a base-ten system, and there are only ten options for each digit [0, 1, 2, 3, 4, 5, 6, 7, 8, 9] }
so, 10 could be thought of as ten ones, which could each be thought of as ten tenths--meaning that 10 is the same thing as 100 tenths
[if you ignore the decimal point, it becomes more clear]:
10.0 [100]
likewise, 10.00 is 1000 hundredths; and 10.000 is 10,000 thousandths
--------
okay, back to our problem:
how many thousandths make up 0.18?
Let's write this out to the thousandths place:
0.180
if we use our tactic of ignoring the decimal, we are left with 0180 [of course, a "0" before a number has no value, so we can rewrite it as 180], or 180
so, 0.18 is really composed of 180 thousandths, which is how option D is the answer
hope this helps!! :)
{let me know if there's anything else you would like me to explain about this!}
