Answer :

Final answer:

The subtraction problem -43 - 71 can be rewritten as an addition problem -43 + (-71), which is option a).

Explanation:

The problem -43 - 71 can be rewritten as an addition problem by changing the subtraction of a number to the addition of its opposite (also known as the additive inverse). In this case, you would change the subtraction of 71 to the addition of -71. Therefore, the expression -43 - 71 can be rewritten as -43 + (-71). The correct answer from the options provided is a).

When we are dealing with the addition or subtraction of numbers, different rules apply depending on the signs of the numbers involved:

  • When two positive numbers add, the answer has a positive sign.
  • When two negative numbers add, the answer has a negative sign.
  • When two numbers having opposite signs add, we subtract the lesser absolute value from the greater one, and the answer takes the sign of the number with the greater absolute value.
  • For subtraction, we can think of it as adding the additive inverse (i.e., change the sign) of the number being subtracted.

Therefore, -43 - 71 is equivalent to -43 + (-71), which follows the rules for adding negative numbers.

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