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dimaraw [331]
3 years ago
7

Round decimals Write the place value of the underline digit

Mathematics
1 answer:
atroni [7]3 years ago
6 0
So all you have to do is look at were the number is is it is in the first spot it is in the tenths place value, second spot hundredth and so
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Volunteers helped clean up 8.2 kg of trash in one neighborhood and 11 1/2 kg in another. They sent 1 1/4 kg to be recycled and t
Ivan

Answer: 18.45\ kg or 18\frac{9}{20}\ kg

Step-by-step explanation:

We can convert from mixed numbers to decimal numbers:

11\frac{1}{2}\ kg=(11+0.5)\ kg=11.5\ kg\\\\1\frac{1}{4}\ kg=(1+0.25)\ kg=1.25\ kg

Since they cleaned up 8.2 kilograms of trash in one neighborhood and 11.5 kilograms in another neighborhood, the total trash they cleaned up was:

Total=8.2\ kg+11.5\ kg\\\\Total=19.7\ kg

We know that they sent 1.25 kilograms to be recycled. Then, in order to calculate how many kilograms of trash they threw away, we must subtract the total kilograms of trash they cleaned up and the kilograms they sent to be recycled.

Then:

19.7\ kg-1.25\ kg=18.45\ kg or 18\frac{9}{20}\ kg

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If the trapezoid is moved, then what will the coordinates of B be​
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Step-by-step explanation:

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Find each quotient. Write in simplest form. keep answer as fraction - not decimal
kirill [66]

So we are given the expression:

\frac{mn^{2}}{4} ÷ \frac{m^{2}n}{8}

When we divide fractions, we must flip the second term and change the sign to multiplication:

\frac{mn^{2}}{4} *\frac{8}{m^{2}n}

And then we multiply across:

\frac{mn^{2}}{4} *\frac{8}{m^{2}n}= \frac{8mn^{2}}{4m^{2}n}

Then we can break apart all of the like variables for simplification:

\frac{8mn^{2}}{4m^{2}n}=\frac{8}{4} * \frac{m}{m^{2}} *\frac{n^{2}}{n}

When we simplify variables through division, we subtract the exponent of the numerator from the exponent of the denominator. So we then have:

\frac{8}{4} =2

\frac{m}{m^{2}}=m^{-1} =\frac{1}{m}

\frac{n^{2}}{n}=n^{1}=\frac{n}{1}

So then we multiply all of these simplified parts together:

\frac{2}{1}*\frac{1}{m}*\frac{n}{1}   =\frac{2n}{m}

So now we know that the simplified form of the initial expression is: \frac{2n}{m}.

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