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Need help! The answer is D, can anyone explain in detail how?

Need help! The answer is D, can anyone explain in detail how?-example-1
User Willjgriff
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2 Answers

8 votes

Step-by-step 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!}

User Martyman
by
7.5k points
7 votes

Answer:

D

Step-by-step explanation:

0.0378÷0.21=0.18

this is 18 hundredths

but its 180 thousandths

User Joshua Ohana
by
8.1k points

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