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Which expression has the same value as 
9-(-2) ?

9+2
2-9

2+(-9)

-9+2

Which expression has the same value as 9(2) 9-(-2) ?\newline9+2 9+2 \newline229-9\newline2+(9) 2+(-9) \newline9+2 -9+2

Full solution

Q. Which expression has the same value as 9(2) 9-(-2) ?\newline9+2 9+2 \newline229-9\newline2+(9) 2+(-9) \newline9+2 -9+2
  1. Evaluate Expression: Evaluate the given expression 9(2)9-(-2). Subtracting a negative number is the same as adding its positive counterpart. So, 9(2)9-(-2) becomes 9+29+2.\newlineCalculation: 9+2=119 + 2 = 11.
  2. Compare Results: Evaluate the first choice 9+29+2. This is a straightforward addition.\newlineCalculation: 9+2=119 + 2 = 11.
  3. Evaluate 9+29+2: Compare the result from Step 11 with the result from Step 22. Both are 1111, so the first choice, 9+29+2, has the same value as the given expression 9(2)9-(-2).
  4. Evaluate 292-9: Evaluate the second choice 292-9. This is a straightforward subtraction.\newlineCalculation: 29=72 - 9 = -7.
  5. Evaluate 2+(9)2+(-9): Compare the result from Step 11 with the result from Step 44. The results are different (1111 vs. 7-7), so the second choice, 292-9, does not have the same value as the given expression 9(2)9-(-2).
  6. Evaluate 9+2-9+2: Evaluate the third choice 2+(9)2+(-9). Adding a negative number is the same as subtracting its positive counterpart. So, 2+(9)2+(-9) becomes 292-9.\newlineCalculation: 29=72 - 9 = -7.
  7. Evaluate 9+2-9+2: Evaluate the third choice 2+(9)2+(-9). Adding a negative number is the same as subtracting its positive counterpart. So, 2+(9)2+(-9) becomes 292-9.\newlineCalculation: 29=72 - 9 = -7.Compare the result from Step 11 with the result from Step 66. The results are different (1111 vs. 7-7), so the third choice, 2+(9)2+(-9), does not have the same value as the given expression 9(2)9-(-2).
  8. Evaluate 9+2-9+2: Evaluate the third choice 2+(9)2+(-9). Adding a negative number is the same as subtracting its positive counterpart. So, 2+(9)2+(-9) becomes 292-9.\newlineCalculation: 29=72 - 9 = -7.Compare the result from Step 11 with the result from Step 66. The results are different (1111 vs. 7-7), so the third choice, 2+(9)2+(-9), does not have the same value as the given expression 9(2)9-(-2).Evaluate the fourth choice 9+2-9+2. This is a straightforward addition.\newlineCalculation: 2+(9)2+(-9)00.
  9. Evaluate 9+2-9+2: Evaluate the third choice 2+(9)2+(-9). Adding a negative number is the same as subtracting its positive counterpart. So, 2+(9)2+(-9) becomes 292-9.\newlineCalculation: 29=72 - 9 = -7.Compare the result from Step 11 with the result from Step 66. The results are different (1111 vs. 7-7), so the third choice, 2+(9)2+(-9), does not have the same value as the given expression 9(2)9-(-2).Evaluate the fourth choice 9+2-9+2. This is a straightforward addition.\newlineCalculation: 2+(9)2+(-9)00.Compare the result from Step 11 with the result from Step 88. The results are different (1111 vs. 7-7), so the fourth choice, 9+2-9+2, does not have the same value as the given expression 9(2)9-(-2).

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