Question

A football team had
10
penalties in each of its last
4
games. Each penalty resulted in a loss of
5
yards. The expression
(
10
)
(
4
)
(
−
5
)
represents the yards lost.



Which TWO expressions show how properties of multiplication can be used to represent this total?



A.
−
40
(
5
)

B.
−
40
(
−
5
)

C.
−
(
10
)
(
4
)
(
5
)

D.
−
(
10
)
(
4
)
(
−
5
)

E.
(
−
10
)
(
−
4
)
(
−
5
)

Answer 1

A and C.

Explanation:
(10)(4)(−5) = (10·4)(−5) = 40(−5) = −40(5) (choice A), and factoring −1 gives (10)(4)(−5) = −(10)(4)(5) (choice C).