Answer: The correct answer is: " - 341 " .
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Step-by-step explanation:
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-1 × 372 − -31 =
(-1 *372) −(-31) =
(-1*372) + 31 ; {since "subtracting a negative value" is the same value as "adding that value's positive value"} ;
= - 372 + 31
= - 341
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The answer is: " - 341 " .
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Note: Using the "Order of Operation rules":
PE MD AS ;
"Please Excuse My Dear Aunt Sally" ; → "mnemonic device" ;
In which "Parentheses" (if they occur) are considered first;
then: "Exponents" (if they occur):
then: "Multiplication and Division" (if any of these occur; from the left of the equation—and continuing to the right of the equation—in the order in which they occur; neither the multiplication nor the division take priority over each other);
then: "Addition and Subtraction: (if any of these occur; from the left of the equation—and continuing to the right of the equation—in the order in which they occur; neither the addition nor the subtraction take priority over each other).
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We are given the expression:
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→ " -1 × 372 − -31 " ;
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Note, there are no "parentheses" or "exponents";
There is "one" multiplication but no "division".
There is "no" addition; but there is "one" subtraction.
so, the multiplication comes first:
→ " -1 *372 = -372 ;
Now, let us continue with the "one" subtraction that remains:
" -372 − -31 " ;
→ {Note that "subtracting a negative value" is the same value as
"adding that value's positive value"} ;
So, " - 372 − -31 = -372 + 31 = - 341 . "
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The correct answer is: " - 341 " .
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Hope this helps!
Wishing you the best!
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