Problem: Subtracting Integers
The task involves solving a series of integer subtraction problems. Let's solve each problem step by step and explain the process.
####
Key Rules for Subtracting Integers:
1. Subtracting a positive integer is straightforward: \( a - b \).
2. Subtracting a negative integer is equivalent to adding the positive counterpart: \( a - (-b) = a + b \).
3. When subtracting integers, always follow the order of operations and simplify step by step.
---
Solutions:
####
Row 1:
1.
77 - 25 = ?
\[
77 - 25 = 52
\]
2.
(-96) - (-88) = ?
\[
(-96) - (-88) = -96 + 88 = -8
\]
3.
35 - 74 = ?
\[
35 - 74 = -39
\]
####
Row 2:
4.
79 - (-43) = ?
\[
79 - (-43) = 79 + 43 = 122
\]
5.
3 - (-43) = ?
\[
3 - (-43) = 3 + 43 = 46
\]
6.
58 - 86 = ?
\[
58 - 86 = -28
\]
####
Row 3:
7.
64 - (-37) = ?
\[
64 - (-37) = 64 + 37 = 101
\]
8.
(-76) - (-26) = ?
\[
(-76) - (-26) = -76 + 26 = -50
\]
9.
20 - 1 = ?
\[
20 - 1 = 19
\]
####
Row 4:
10.
18 - (-80) = ?
\[
18 - (-80) = 18 + 80 = 98
\]
11.
17 - (-38) = ?
\[
17 - (-38) = 17 + 38 = 55
\]
12.
50 - 98 = ?
\[
50 - 98 = -48
\]
####
Row 5:
13.
(-25) - 19 = ?
\[
(-25) - 19 = -25 - 19 = -44
\]
14.
(-52) - (-4) = ?
\[
(-52) - (-4) = -52 + 4 = -48
\]
15.
(-9) - (-14) = ?
\[
(-9) - (-14) = -9 + 14 = 5
\]
####
Row 6:
16.
53 - (-57) = ?
\[
53 - (-57) = 53 + 57 = 110
\]
17.
(-59) - 35 = ?
\[
(-59) - 35 = -59 - 35 = -94
\]
18.
86 - 25 = ?
\[
86 - 25 = 61
\]
####
Row 7:
19.
(-15) - (-98) = ?
\[
(-15) - (-98) = -15 + 98 = 83
\]
20.
46 - (-58) = ?
\[
46 - (-58) = 46 + 58 = 104
\]
21.
(-91) - (-64) = ?
\[
(-91) - (-64) = -91 + 64 = -27
\]
####
Row 8:
22.
98 - 91 = ?
\[
98 - 91 = 7
\]
23.
33 - 22 = ?
\[
33 - 22 = 11
\]
24.
21 - 86 = ?
\[
21 - 86 = -65
\]
####
Row 9:
25.
(-2) - (-25) = ?
\[
(-2) - (-25) = -2 + 25 = 23
\]
26.
(-43) - 62 = ?
\[
(-43) - 62 = -43 - 62 = -105
\]
27.
73 - (-93) = ?
\[
73 - (-93) = 73 + 93 = 166
\]
####
Row 10:
28.
(-63) - 44 = ?
\[
(-63) - 44 = -63 - 44 = -107
\]
29.
37 - 8 = ?
\[
37 - 8 = 29
\]
30.
25 - (-15) = ?
\[
25 - (-15) = 25 + 15 = 40
\]
---
Final Answer:
\[
\boxed{
\begin{array}{ccc}
52 & -8 & -39 \\
122 & 46 & -28 \\
101 & -50 & 19 \\
98 & 55 & -48 \\
-44 & -48 & 5 \\
110 & -94 & 61 \\
83 & 104 & -27 \\
7 & 11 & -65 \\
23 & -105 & 166 \\
-107 & 29 & 40 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of subtracting and adding integers worksheet.
