Answer :
To find the value of [tex]\(-134 + 53\)[/tex], we need to add the integers by following these steps:
1. Identify the numbers:
- The first number is [tex]\(-134\)[/tex].
- The second number is [tex]\(53\)[/tex].
2. Understanding the signs:
- [tex]\(-134\)[/tex] is a negative number, which means we are moving 134 units to the left on the number line from zero.
- [tex]\(53\)[/tex] is a positive number, indicating a movement of 53 units to the right.
3. Performing the subtraction:
- Since the numbers have different signs (one negative and one positive), we perform a subtraction:
- Subtract the smaller absolute value from the larger absolute value. The absolute value of [tex]\(-134\)[/tex] is [tex]\(134\)[/tex], and the absolute value of [tex]\(53\)[/tex] is [tex]\(53\)[/tex].
- [tex]\(134 - 53 = 81\)[/tex].
4. Determine the sign of the result:
- Compare the absolute values of the two original numbers. Since [tex]\(|-134| > |53|\)[/tex], the result takes the sign of [tex]\(-134\)[/tex], which is negative.
5. Final result:
- The result of adding [tex]\(-134\)[/tex] and [tex]\(53\)[/tex] is [tex]\(-81\)[/tex].
Thus, the value of [tex]\(-134 + 53\)[/tex] is [tex]\(-81\)[/tex].
1. Identify the numbers:
- The first number is [tex]\(-134\)[/tex].
- The second number is [tex]\(53\)[/tex].
2. Understanding the signs:
- [tex]\(-134\)[/tex] is a negative number, which means we are moving 134 units to the left on the number line from zero.
- [tex]\(53\)[/tex] is a positive number, indicating a movement of 53 units to the right.
3. Performing the subtraction:
- Since the numbers have different signs (one negative and one positive), we perform a subtraction:
- Subtract the smaller absolute value from the larger absolute value. The absolute value of [tex]\(-134\)[/tex] is [tex]\(134\)[/tex], and the absolute value of [tex]\(53\)[/tex] is [tex]\(53\)[/tex].
- [tex]\(134 - 53 = 81\)[/tex].
4. Determine the sign of the result:
- Compare the absolute values of the two original numbers. Since [tex]\(|-134| > |53|\)[/tex], the result takes the sign of [tex]\(-134\)[/tex], which is negative.
5. Final result:
- The result of adding [tex]\(-134\)[/tex] and [tex]\(53\)[/tex] is [tex]\(-81\)[/tex].
Thus, the value of [tex]\(-134 + 53\)[/tex] is [tex]\(-81\)[/tex].
