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Directions: Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).. The expression 113.47 - (43.72 - 26.9) represents A.. . The expression 113.47 - (26.9 - 43.72) represents B.. . The numerical value of A - B is .. . The numerical value of B - A is .

Respuesta :

meerkat18
We are given with two expressions: (A) is 113.47 - (43.72 - 26.9) and (B) is 113.47 - (26.9 - 43.72). The numerical value of A-B is 113.47 - (43.72 - 26.9)- [113.47 - (26.9 - 43.72)] equal to -87.44 + 53.8 or -33.64. When B- A is to be computed, this is equal to the negative of A-B or equal to 33.64. We just have to be careful with the signs.

Answer

Find out the The numerical value of A - B  and the numerical value of B - A .

To prove

As given

The expression 113.47 - (43.72 - 26.9) represents A.

The expression 113.47 - (26.9 - 43.72) represents B .

Thus

A - B =  113.47 - (43.72 - 26.9)  - ( 113.47 - (26.9 - 43.72))

First solving the bracket terms.

A - B =  113.47 - (43.72 - 26.9)  -  113.47  + (26.9 - 43.72)

        = 113.47 - 16.82 - 113.47 - 16.82

        =  113.47  - 113.47 - 16.82 - 16.82

        = -33.64

Therefore the value of A- B is -33.64 .

Thus

B - A = 113.47 - (26.9 - 43.72) - (113.47 - (43.72 - 26.9))

First solving the bracket terms.

B - A = 113.47 - (26.9 - 43.72) - 113.47 + (43.72 - 26.9)

        =  113.47 + 16.82 - 113.47 + 16.82

        = 33.64

Therefore the value of the A - B is -33.64 and B - A is 33.64 .

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