1. 43 - (70)
2. (-31) - (17)
3. 56 - (-9)
4. (-72) - (-81)
5. (-100) - (-63)
6. 0 - (-65)
7. (-16) - 9 - (-15)
8. (-26) + (-34) + (-30)
9. 68 - (-32) - (-15)
10. Subtract (i) +25 from (-35), (ii) (-26) from (-34).
11. The sum of two integers is 34. If one of the integers is (-18), find the other.
12. The sum of two integers is -48. If one of the integers is 17, find the other.
Answer (2)
Let's solve each of these problems step by step:
43 - (70):
Subtract 70 from 43: 43 − 70 = − 27
(-31) - (17):
Subtract 17 from -31: − 31 − 17 = − 48
56 - (-9):
Subtracting a negative is the same as adding the positive: 56 + 9 = 65
(-72) - (-81):
Subtracting a negative is like adding: − 72 + 81 = 9
(-100) - (-63):
Again, subtracting a negative is the same as adding: − 100 + 63 = − 37
0 - (-65):
Subtracting a negative is like adding: 0 + 65 = 65
(-16) - 9 - (-15):
Simplify by subtraction and addition: − 16 − 9 + 15 = − 25 + 15 = − 10
(-26) + (-34) + (-30):
Add all the negative numbers: − 26 + ( − 34 ) + ( − 30 ) = − 26 − 34 − 30 = − 90
68 - (-32) - (-15):
Subtracting negatives is like adding: 68 + 32 + 15 = 115
Subtract (i) +25 from (-35), (ii) (-26) from (-34):
* (i) Subtract 25 from -35:
\[-35 - 25 = -60\]
* (ii) Subtract -26 from -34:
\[-34 + 26 = -8\]
The sum of two integers is 34. If one of the integers is (-18), find the other.
* Let the other integer be [tex]x[/tex]. The equation is:
\[x + (-18) = 34\]
* Solve for [tex]x[/tex]:
\[x = 34 + 18 = 52\]
The sum of two integers is -48. If one of the integers is 17, find the other.
* Let the other integer be [tex]y[/tex]. The equation is:
\[17 + y = -48\]
* Solve for [tex]y[/tex]:
\[y = -48 - 17 = -65\]
Each problem involves basic operations with integers, including addition, subtraction, and understanding how negative numbers affect these operations.
The problems involve various arithmetic operations with integers, including subtracting and adding negative numbers. For example, subtracting a negative is equivalent to adding the positive. Overall, the answers range from -90 to 115, depending on the operation being performed.
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