Question

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.

Answer 1

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

Answer 2

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

Explanation:

The given expression is 1575÷21.

It can be written as

`(1575)/(21)`

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

`(1575)/(21)=(1000+500+70+5)/(21)`

According to the distributive property,

`(a+b)/(c)=(a)/(c)+(b)/(c)`

Using the distributive property, we get

`(1575)/(21)=(1000)/(21)+(500)/(21)+(70)/(21)+(5)/(21)`

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