Question

Which of the following expressions are equivalent to 6.53 - (-4.11) + 7.926.53?

(Choice A)
A
6.53-(-4.11+7.92)6.53−(−4.11+7.92)6, point, 53, minus, left parenthesis, minus, 4, point, 11, plus, 7, point, 92, right parenthesis

(Choice B)
B
6.53 + 4.11 + 7.926.53+4.11+7.926, point, 53, plus, 4, point, 11, plus, 7, point, 92

(Choice C)
C
-(-6.53)+4.11-(-7.92)−(−6.53)+4.11−(−7.92)minus, left parenthesis, minus, 6, point, 53, right parenthesis, plus, 4, point, 11, minus, left parenthesis, minus, 7, point, 92, right parenthesis

(Choice D)
D
6.53-4.11+7.926.53−4.11+7.926, point, 53, minus, 4, point, 11, plus, 7, point, 92

(Choice E)
E
-6.53-4.11-7.92−6.53−4.11−7.92minus, 6, point, 53, minus, 4, point, 11, minus, 7, point, 92

Answer 1

b & c

Explanation:

I did it on khan academy and it was right

Answer 2

Choice B and Choise C.

Explanation:

Equivalent expressions are those expressions that have the same value but they look different.

Given the following expression provided in the exercise:

`6.53 - (-4.11) + 7.92`

You need to remember the multiplication of signs in order to find the equivalent expressions:

`(+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-`

Then:

- Eliminating the parentheses, you get this equivalent expression:

`6.53 +4.11 + 7.92`

- Since the mulplication of two negative signs gives yous a positive sign, you can rewrite the original expression in this form:

`-(-6.53)+4.11-(-7.92)`

This is an equivalent expression to
`6.53 - (-4.11) + 7.92`