Question

"Which expression has the same value as the one below?22+(-32)

A. 22+(-22)+(-10)
B. 22+(22)+(-10)
C. 22+(-22)+(10)
D. 2200+32

Answer 1

The expression that has the same value as 22+(-32) is Option A: 22+(-22)+(-10), which simplifies to -10, the same as the original expression.

Step-by-step explanation:

The expression given is 22+(-32), which simplifies to -10, because when a positive number and a negative number are added together, the result will have the sign of the larger number and you subtract the smaller number from the larger number.

• Option A: 22+(-22)+(-10) simplifies to 0-10, which is -10. This matches the value of the given expression.
• Option B: 22+(22)+(-10) simplifies to 44-10, which is 34. This does not match the value of the original expression.
• Option C: 22+(-22)+(10) simplifies to 0+10, which is 10. This does not match the value of the original expression.
• Option D: 2200+32 is not equivalent to 22+(-32) because it represents a much larger positive number.

Therefore, the expression that has the same value as 22+(-32) is Option A: 22+(-22)+(-10).