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Answer :
To solve the expression [tex]\(32 + (-83)\)[/tex], we'll break it down step-by-step:
1. Understand the operation: The expression involves adding a negative number. Adding a negative is the same as subtracting the absolute value of that number.
2. Rewrite the expression: Convert [tex]\(32 + (-83)\)[/tex] to a subtraction expression. This becomes:
[tex]\[
32 - 83
\][/tex]
3. Perform the subtraction: To subtract 83 from 32, think about how many numbers are between them. Since 83 is larger than 32, the result will be negative.
[tex]\[
32 - 83 = -(83 - 32)
\][/tex]
4. Calculate the difference: Subtract 32 from 83 to find the difference:
[tex]\[
83 - 32 = 51
\][/tex]
5. Apply the negative sign: Since 83 is larger, the result of the subtraction becomes negative, giving us:
[tex]\[
-(83 - 32) = -51
\][/tex]
Therefore, the solution to the expression [tex]\(32 + (-83)\)[/tex] is [tex]\(-51\)[/tex].
The correct answer is B) -51.
1. Understand the operation: The expression involves adding a negative number. Adding a negative is the same as subtracting the absolute value of that number.
2. Rewrite the expression: Convert [tex]\(32 + (-83)\)[/tex] to a subtraction expression. This becomes:
[tex]\[
32 - 83
\][/tex]
3. Perform the subtraction: To subtract 83 from 32, think about how many numbers are between them. Since 83 is larger than 32, the result will be negative.
[tex]\[
32 - 83 = -(83 - 32)
\][/tex]
4. Calculate the difference: Subtract 32 from 83 to find the difference:
[tex]\[
83 - 32 = 51
\][/tex]
5. Apply the negative sign: Since 83 is larger, the result of the subtraction becomes negative, giving us:
[tex]\[
-(83 - 32) = -51
\][/tex]
Therefore, the solution to the expression [tex]\(32 + (-83)\)[/tex] is [tex]\(-51\)[/tex].
The correct answer is B) -51.
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