Which expression represents a number that is 4 times as great as the quotient of 25 and 5? A. ( 25 × 5 ) × 4 B. 4 ÷ ( 25 × 5 ) C. 4 × ( 25 ÷ 5 ) D. ( 25 ÷ 5 ) ÷ 4

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Answer:

It would be D.

The expression represents a number that is 4 times as great as  

4 × ( 25 ÷ 5 ).

We have to find, The expression that represents a number that is 4 times as great as the quotient of 25 and 5

Therefore, we get

[tex]\frac{25}{5}=5[/tex]

What is the meaning of 4 times greater?

Multiply by 4 means 4 times greater.

So, we get

[tex]4\times 5[/tex]

That is 20.

Which expression shows the value 20.

A)( 25 × 5 ) × 4

=100×4

=400

It is not the correct option

B. 4 ÷ ( 25 × 5 )

[tex]\frac{4}{25(4)} =4/100=0.04[/tex]

Therefore B is not correct.

C. 4 × ( 25 ÷ 5 )

=4×5

=20

C is the correct option

D). ( 25 ÷ 5 ) ÷ 4

=5/4

=1.25

Therefore this is not the correct option

Thus, the expression represents a number that is 4 times as great as  

4 × ( 25 ÷ 5 ).

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