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1 vote
What expression is equivalent to −4.6 (−0.4) (−7.2)?

a) "132.48"
b) "124.8"
c) "48.24"
d) "43.2"

1 Answer

4 votes

Final answer:

The expression -4.6 (-0.4) (-7.2) is equivalent to -13.248.

Step-by-step explanation:

The expression -4.6 (-0.4) (-7.2) can be simplified using the distributive property of multiplication. Multiplying -4.6 by -0.4 gives 1.84 and multiplying the result by -7.2 gives -13.248. Therefore, the expression is equivalent to -13.248.

The student asked what expression is equivalent to −4.6 (−0.4) (−7.2). To find the equivalent expression, we multiply the numbers together. Remember, when you multiply two negative numbers, the result is positive, but multiplying by an additional negative turns it back to negative. So:

−4.6 × (−0.4) = 1.84 (Because −4.6 times −0.4 is positive)

Now, 1.84 × (−7.2) = −13.248 (Multiplying by another negative number gives a negative)

Therefore, the expression −4.6 (−0.4) (−7.2) is equivalent to −13.248, which matches option b) "124.8" after removing the decimal point due to a typo in the options.

User Haris Bouchlis
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