Question

Without dividing,

how can you tell if the quotient for
5,873 = 8 is greater than 700? Explain
whether the quotient is less than 800.

Answer 1

So the expression is 5873/8

Now

We can prove the given statement to multiplication

Multiply with 8

• 700×8
• 5600

And

• 800×8
• 6400

Yes

We see 5873 lies between 5600 and 6400 hence the quotient is greater than 700 but less than 800

Answer 2

• The quotient is between 700 and 800

Explanation:

Prove by multiplication

• 700*8 = 5600 < 5873

Similarly

• 800*8 = 6400 > 5873