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

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.