Which expression could be used to find the quotient of 1575÷21?

A(1000÷21) + (500÷21) + (70÷21) + (5÷21) we know this is the answer, but how do we show the work? I hated math as a kid, and my daughters teacher said even though they weren't taught this yet, they still have to do the same work.

ok you split it up into thousands hundreds tens and units those are all the working out and bye the way sorry if you have different working I am britich so they have different methods

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DelcieRiveria DelcieRiveria · Answer 2 · 2019-05-20T06:10:59-04:00

Answer:

The quotient of (1000÷21) + (500÷21) + (70÷21) + (5÷21) is equivalent to the quotient of 1575÷21.

Step-by-step explanation:

The given expression is 1575÷21.

It can be written as

\(\frac{1575}{21}\)

Write the numerator as the sum of the place values of each digit.

\(\frac{1575}{21}=\frac{1000+500+70+5}{21}\)

According to the distributive property,

\(\frac{a+b}{c}=\frac{a}{c}+\frac{b}{c}\)

Using the distributive property, we get

\(\frac{1575}{21}=\frac{1000}{21}+\frac{500}{21}+\frac{70}{21}+\frac{5}{21}\)

Therefore the quotient of (1000÷21) + (500÷21) + (70÷21) + (5÷21) is equivalent to the quotient of 1575÷21.

Which expression could be used to find the quotient of 1575÷21? A(1000÷21) + (500÷21) + (70÷21) + (5÷21) we know this is the answer, but how do we show the work? I hated math as a kid, and my daughters teacher said even though they weren't taught this yet, they still have to do the same work.

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Related Questions

Which expression could be used to find the quotient of 1575÷21?

A(1000÷21) + (500÷21) + (70÷21) + (5÷21) we know this is the answer, but how do we show the work? I hated math as a kid, and my daughters teacher said even though they weren't taught this yet, they still have to do the same work.