Question

At 4 p.m., the temperature started to change drastically. Each hour, for three hours, the temperature decreased by 7°F. Which expression best shows another way to write the product for the temperature change?
7 + 7 + 7
7 + 7 + 7 + 7
(Negative 1) (7 + 7 + 7)
(Negative 7) + (Negative 7) + (Negative 7) + (Negative 7)

Answer 1

Given :- At 4 p.m., the temperature started to change drastically. Each hour, for three hours, the temperature decreased by 7°F. Which expression best shows another way to write the product for the temperature change?

A) 7 + 7 + 7

B) 7 + 7 + 7 + 7

C) (Negative 1) (7 + 7 + 7)

D) (Negative 7) + (Negative 7) + (Negative 7) + (Negative 7)

Solution :-

we know that,

• whenever (-1) is multiplied by a number, it results in the opposite.
• The temperature is decreasing, that means the final answer would be negative.

given that,

• Each hour temperature changes by 7.
• The temperature keeps on changing for 3 hours.

So,

• In 1st hour temperature decreased by = 7° => as decreasing we use = (-7°)
• in 2nd hour temperature decreased by = (-7°)
• in 3rd hour temperature decreased by = (-7°)

Therefore,

→ Total change in the temperature in three hours = (-7) + (-7) + (-7) = { (-1 * 7) + (-1 * 7) + (-1 * 7) } = (-1)(7 + 7 + 7) = (Negative 1) (7 + 7 + 7) (Option C) .

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