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Answer :
To find the difference between [tex]\(-156\)[/tex] and [tex]\(-45\)[/tex], follow these steps:
1. Understand the problem: We need to find [tex]\(-156 - (-45)\)[/tex].
2. Simplify the expression: Subtracting a negative number is the same as adding its positive counterpart. Therefore:
[tex]\[
-156 - (-45) = -156 + 45
\][/tex]
3. Perform the calculation:
- Start by writing the two numbers:
[tex]\[
-156 + 45
\][/tex]
- To add a negative and a positive number, you subtract the smaller absolute value from the larger absolute value and keep the sign of the number with the larger absolute value.
- The absolute value of [tex]\(-156\)[/tex] is [tex]\(156\)[/tex], and the absolute value of [tex]\(45\)[/tex] is [tex]\(45\)[/tex].
- Subtract [tex]\(45\)[/tex] from [tex]\(156\)[/tex]:
[tex]\[
156 - 45 = 111
\][/tex]
- Since [tex]\(-156\)[/tex] has the larger absolute value, the result will be negative:
[tex]\[
-111
\][/tex]
Therefore, the difference is [tex]\(-111\)[/tex].
1. Understand the problem: We need to find [tex]\(-156 - (-45)\)[/tex].
2. Simplify the expression: Subtracting a negative number is the same as adding its positive counterpart. Therefore:
[tex]\[
-156 - (-45) = -156 + 45
\][/tex]
3. Perform the calculation:
- Start by writing the two numbers:
[tex]\[
-156 + 45
\][/tex]
- To add a negative and a positive number, you subtract the smaller absolute value from the larger absolute value and keep the sign of the number with the larger absolute value.
- The absolute value of [tex]\(-156\)[/tex] is [tex]\(156\)[/tex], and the absolute value of [tex]\(45\)[/tex] is [tex]\(45\)[/tex].
- Subtract [tex]\(45\)[/tex] from [tex]\(156\)[/tex]:
[tex]\[
156 - 45 = 111
\][/tex]
- Since [tex]\(-156\)[/tex] has the larger absolute value, the result will be negative:
[tex]\[
-111
\][/tex]
Therefore, the difference is [tex]\(-111\)[/tex].
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