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Question

Find which is greater.​ [(-3) - 4] × (-5) or (-3) - 4 × (-5)

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Solution

Answer: [(-3) - 4] × (-5) is greater than (-3) - 4 × (-5)

Explanation

To find which of the given expressions is greater than the other, simplify the expression and compare it with each other to get the result.

Now, consider the expression: [(-3) - 4] × (-5)

Using the BODMAS rule, simplify the expression. According to the BODMAS rule, first, simplify the values inside the brackets.

Thus, [(-3) - 4] × (-5) = (-7) × (-5)

Now, by using the integer rule for multiplication, we get the following:

[(-3) - 4] × (-5) = 35 …. (1)

Now, take the other expression: (-3) - 4 × (-5)

According to the BODMAS rule, first, simplify the expression 4 × (-5). Hence, we get

(-3) - 4 × (-5) = (-3) - (-20)

(-3) - 4 × (-5) = -3 + 20 [Since - × - = +]

(-3) - 4 × (-5) = 17 … (2)

By comparing the equations (1) and (2),

[(-3) - 4] × (-5) is greater than (-3) - 4 × (-5).

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