Problem Overview:
The task involves solving a series of integer addition problems. The problems are categorized into three sections:
MIND,
PUZZLE, and
ORACLE. Each section contains several problems that need to be solved step by step.
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Solution:
####
Section 1: MIND
These are straightforward integer addition problems.
1.
4 + (−3) =
- Add the integers: \( 4 + (-3) = 4 - 3 = 1 \)
-
Answer: \( 1 \)
2.
2 + (−7) =
- Add the integers: \( 2 + (-7) = 2 - 7 = -5 \)
-
Answer: \( -5 \)
3.
(−5) + (−6) =
- Add the integers: \( -5 + (-6) = -5 - 6 = -11 \)
-
Answer: \( -11 \)
4.
10 + (−9) =
- Add the integers: \( 10 + (-9) = 10 - 9 = 1 \)
-
Answer: \( 1 \)
---
####
Section 2: PUZZLE
These problems involve more complex combinations of integers, including nested parentheses.
5.
15 + (−8) =
- Add the integers: \( 15 + (-8) = 15 - 8 = 7 \)
-
Answer: \( 7 \)
6.
20 + (−22) =
- Add the integers: \( 20 + (-22) = 20 - 22 = -2 \)
-
Answer: \( -2 \)
7.
15 + (−10) + (−7) =
- First, add \( 15 + (-10) \): \( 15 - 10 = 5 \)
- Then, add \( 5 + (-7) \): \( 5 - 7 = -2 \)
-
Answer: \( -2 \)
8.
10 + (−7) + 8 =
- First, add \( 10 + (-7) \): \( 10 - 7 = 3 \)
- Then, add \( 3 + 8 \): \( 3 + 8 = 11 \)
-
Answer: \( 11 \)
---
####
Section 3: ORACLE
These problems involve multiple steps and nested operations.
9.
0 + (−7) =
- Add the integers: \( 0 + (-7) = -7 \)
-
Answer: \( -7 \)
10.
0 + (−8) =
- Add the integers: \( 0 + (-8) = -8 \)
-
Answer: \( -8 \)
11.
12 + (−15) =
- Add the integers: \( 12 + (-15) = 12 - 15 = -3 \)
-
Answer: \( -3 \)
12.
19 + (−5) =
- Add the integers: \( 19 + (-5) = 19 - 5 = 14 \)
-
Answer: \( 14 \)
13.
17 + (−1) + (−1) =
- First, add \( 17 + (-1) \): \( 17 - 1 = 16 \)
- Then, add \( 16 + (-1) \): \( 16 - 1 = 15 \)
-
Answer: \( 15 \)
14.
18 + (−5) + (−3) =
- First, add \( 18 + (-5) \): \( 18 - 5 = 13 \)
- Then, add \( 13 + (-3) \): \( 13 - 3 = 10 \)
-
Answer: \( 10 \)
15.
19 + (−12) + (−7) + (−3) =
- First, add \( 19 + (-12) \): \( 19 - 12 = 7 \)
- Then, add \( 7 + (-12) \): \( 7 - 12 = -5 \)
- Next, add \( -5 + (-7) \): \( -5 - 7 = -12 \)
- Finally, add \( -12 + (-3) \): \( -12 - 3 = -15 \)
-
Answer: \( -15 \)
16.
21 + (−9) + 2 + (−7) =
- First, add \( 21 + (-9) \): \( 21 - 9 = 12 \)
- Then, add \( 12 + 2 \): \( 12 + 2 = 14 \)
- Finally, add \( 14 + (-7) \): \( 14 - 7 = 7 \)
-
Answer: \( 7 \)
17.
22 + (−15) + 3 + (−8) =
- First, add \( 22 + (-15) \): \( 22 - 15 = 7 \)
- Then, add \( 7 + 3 \): \( 7 + 3 = 10 \)
- Finally, add \( 10 + (-8) \): \( 10 - 8 = 2 \)
-
Answer: \( 2 \)
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Final Answers:
\[
\boxed{
\begin{array}{ll}
\text{MIND:} & 1, -5, -11, 1 \\
\text{PUZZLE:} & 7, -2, -2, 11 \\
\text{ORACLE:} & -7, -8, -3, 14, 15, 10, -15, 7, 2
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of adding integers color worksheet.