Video Transcript
If 𝑚 equals twenty-one point four,
𝑝 equals twenty-three point four, and 𝑛 equals nine, evaluate 𝑚 plus 𝑛 plus 𝑝
all divided by 𝑝 to the nearest tenth.
In order to evaluate our
expression, 𝑚 plus 𝑛 plus 𝑝 divided by 𝑝, we need to take our values for 𝑚, 𝑝,
and 𝑛 and plug those into our expression. We will replace 𝑚 with the value
twenty-one point four. Replace 𝑛 with the value nine. And replace both 𝑝’s with the
value twenty-three point four.
Now we need to simplify. First we need to add all the
numbers on our numerator to simplify our numerator. The numerator is the top portion of
your fraction, so let’s add twenty-one point four plus nine plus twenty-three point
four. This results in fifty-three point
eight. Divided by twenty-three point four, which equals two point two nine nine one
four five three. However, it tells us to round to
the nearest tenth. The first place value to the right
of the decimal is our tenths place. So when it says to round to the
nearest tenth, our final answer should be ending in a tenths place.
So we need to decide how to
round. We must look at the place value to
the right of the one that we’re rounding to in order to decide whether to keep our
two a two or two rounded up to a three. So we look at the hundredths
place. That’s where the nine is. Number zero through four would keep
the two the same. Numbers five through nine would
make the two round up to a three. So since nine is our- in our
hundredth place and we’re rounding to the tenths place, our two will turn into a
three. So our final answer is two point
three.
