Question

Gwen says that the sum of -1 3/4 and 2 1/2 is the same as the difference between 2 1/2 and 1 3/4. Is Gwen correct? Explain why or why not?

Answer 1

Answer:

$yes...his \: \: statement \: \: is \: \: correct$

Step-by-step explanation:

Sum of the given 2 numbers

$- 1 \frac{3}{4} + 2 \frac{1}{2} \\ - \frac{7}{4} + \frac{5}{2} \\ - \frac{7}{4} + \frac{5 \times 2}{2 \times 2} \\ - \frac{7}{4} + \frac{10}{4} \\ \frac{ - 7 + 10}{4} \\ = \frac{3}{4}$

Difference between the given 2 numbers

$2 \frac{1}{2} - 1\frac{3}{4} \\ \frac{5}{2} - \frac{7}{4} \\ \frac{5 \times 2}{2 \times 2} - \frac{7}{4} \\ \frac{10}{4 } - \frac{7}{4} \\ \frac{10 - 7}{4} \\ = \frac{3 }{4}$

So, It's clear to you that,

sum of -1 3/4 and 2 1/2 is the same as the difference between 2 1/2 and 1 3/4.

Hope this helps you.

Let me know if you have any other questions :-):-)

Answer 2

Answer:

• Yes

Step-by-step explanation:

The sum of -1 3/4 and 2 1/2:

• - 1 3/4 + 2 1/2 =
• 2 1/2 - 1 3/4

The difference between 2 1/2 and 1 3/4:

• 2 1/2 - 1 3/4

This is same as well as:

• - a + b and b - a