Q. Which expression has the same value as 9−(−2) ?9+22−92+(−9)−9+2
Evaluate Expression: Evaluate the given expression 9−(−2). Subtracting a negative number is the same as adding its positive counterpart. So, 9−(−2) becomes 9+2.Calculation: 9+2=11.
Compare Results: Evaluate the first choice 9+2. This is a straightforward addition.Calculation: 9+2=11.
Evaluate 9+2: Compare the result from Step 1 with the result from Step 2. Both are 11, so the first choice, 9+2, has the same value as the given expression 9−(−2).
Evaluate 2−9: Evaluate the second choice 2−9. This is a straightforward subtraction.Calculation: 2−9=−7.
Evaluate 2+(−9): Compare the result from Step 1 with the result from Step 4. The results are different (11 vs. −7), so the second choice, 2−9, does not have the same value as the given expression 9−(−2).
Evaluate −9+2: Evaluate the third choice 2+(−9). Adding a negative number is the same as subtracting its positive counterpart. So, 2+(−9) becomes 2−9.Calculation: 2−9=−7.
Evaluate −9+2: Evaluate the third choice 2+(−9). Adding a negative number is the same as subtracting its positive counterpart. So, 2+(−9) becomes 2−9.Calculation: 2−9=−7.Compare the result from Step 1 with the result from Step 6. The results are different (11 vs. −7), so the third choice, 2+(−9), does not have the same value as the given expression 9−(−2).
Evaluate −9+2: Evaluate the third choice 2+(−9). Adding a negative number is the same as subtracting its positive counterpart. So, 2+(−9) becomes 2−9.Calculation: 2−9=−7.Compare the result from Step 1 with the result from Step 6. The results are different (11 vs. −7), so the third choice, 2+(−9), does not have the same value as the given expression 9−(−2).Evaluate the fourth choice −9+2. This is a straightforward addition.Calculation: 2+(−9)0.
Evaluate −9+2: Evaluate the third choice 2+(−9). Adding a negative number is the same as subtracting its positive counterpart. So, 2+(−9) becomes 2−9.Calculation: 2−9=−7.Compare the result from Step 1 with the result from Step 6. The results are different (11 vs. −7), so the third choice, 2+(−9), does not have the same value as the given expression 9−(−2).Evaluate the fourth choice −9+2. This is a straightforward addition.Calculation: 2+(−9)0.Compare the result from Step 1 with the result from Step 8. The results are different (11 vs. −7), so the fourth choice, −9+2, does not have the same value as the given expression 9−(−2).
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