Q. Which expression has the same value as 9+(−5) ?5−9−9+(−5)−5−99−5
Evaluate Expression: First, let's evaluate the given expression 9+(−5).9+(−5)=9−5=4This is a simple addition of integers where one of the integers is negative.
Evaluate Choices: Now let's evaluate the first choice: 5−9. 5−9=−4This is a subtraction problem where a smaller number is subtracted from a larger number, resulting in a negative number.
Comparison: Next, let's evaluate the second choice: −9+(−5). −9+(−5)=−9−5=−14This is an addition of two negative numbers, which results in a larger negative number.
Comparison: Next, let's evaluate the second choice: −9+(−5).−9+(−5)=−9−5=−14This is an addition of two negative numbers, which results in a larger negative number.Now, let's evaluate the third choice: −5−9.−5−9=−5+(−9)=−14This is similar to the previous step, where we are adding two negative numbers.
Comparison: Next, let's evaluate the second choice: −9+(−5). −9+(−5)=−9−5=−14 This is an addition of two negative numbers, which results in a larger negative number.Now, let's evaluate the third choice: −5−9. −5−9=−5+(−9)=−14 This is similar to the previous step, where we are adding two negative numbers.Finally, let's evaluate the fourth choice: 9−5. 9−5=4 This is a simple subtraction problem where a smaller number is subtracted from a larger number.
Comparison: Next, let's evaluate the second choice: −9+(−5). −9+(−5)=−9−5=−14 This is an addition of two negative numbers, which results in a larger negative number.Now, let's evaluate the third choice: −5−9. −5−9=−5+(−9)=−14 This is similar to the previous step, where we are adding two negative numbers.Finally, let's evaluate the fourth choice: 9−5. 9−5=4 This is a simple subtraction problem where a smaller number is subtracted from a larger number.Comparing the results of the evaluations with the original expression 9+(−5), which equals 4, we find that the expression with the same value is 9−5.
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