Problem Analysis:
The task involves solving a series of addition and subtraction problems with integers. After solving these problems, the answers will be matched to letters in a riddle at the bottom of the worksheet. The goal is to solve the riddle: "What has 13 hearts, but no other organs?"
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Step-by-Step Solution:
####
Part 1: Solve the Integer Problems
We will solve each problem step by step.
1.
② 4 + (–12) =
\[
4 + (-12) = 4 - 12 = -8
\]
Answer:
-8
2.
⑧ –5 + (–3) =
\[
-5 + (-3) = -5 - 3 = -8
\]
Answer:
-8
3.
⑥ 3 – 8 =
\[
3 - 8 = -5
\]
Answer:
-5
4.
⑦ 7 + (–4) =
\[
7 + (-4) = 7 - 4 = 3
\]
Answer:
3
5.
④ 6 + (–10) =
\[
6 + (-10) = 6 - 10 = -4
\]
Answer:
-4
6.
⑩ –20 + 12 =
\[
-20 + 12 = -8
\]
Answer:
-8
7.
① –1 + (–2) =
\[
-1 + (-2) = -1 - 2 = -3
\]
Answer:
-3
8.
⑤ 4 + 3 =
\[
4 + 3 = 7
\]
Answer:
7
9.
⑨ –7 + (–8) =
\[
-7 + (-8) = -7 - 8 = -15
\]
Answer:
-15
10.
③ –6 + (–3) =
\[
-6 + (-3) = -6 - 3 = -9
\]
Answer:
-9
11.
⑪ –1 + (–3) =
\[
-1 + (-3) = -1 - 3 = -4
\]
Answer:
-4
12.
⑫ 13 + (–5) =
\[
13 + (-5) = 13 - 5 = 8
\]
Answer:
8
13.
⑬ –11 + 5 =
\[
-11 + 5 = -6
\]
Answer:
-6
14.
⑭ –3 + (–12) =
\[
-3 + (-12) = -3 - 12 = -15
\]
Answer:
-15
15.
⑮ –16 + 1 =
\[
-16 + 1 = -15
\]
Answer:
-15
16.
⑯ –8 + 5 =
\[
-8 + 5 = -3
\]
Answer:
-3
17.
⑰ 2 + 10 =
\[
2 + 10 = 12
\]
Answer:
12
18.
⑱ 4 + (–4) =
\[
4 + (-4) = 4 - 4 = 0
\]
Answer:
0
---
Part 2: Match Answers to Letters
Now, we match the answers to the corresponding letters in the riddle. The answers are as follows:
-
②: -8 → Letter
H
-
⑧: -8 → Letter
H
-
⑥: -5 → Letter
E
-
⑦: 3 → Letter
A
-
④: -4 → Letter
R
-
⑩: -8 → Letter
H
-
①: -3 → Letter
T
-
⑤: 7 → Letter
S
-
⑨: -15 → Letter
O
-
③: -9 → Letter
N
-
⑪: -4 → Letter
R
-
⑫: 8 → Letter
I
-
⑬: -6 → Letter
L
-
⑭: -15 → Letter
O
-
⑮: -15 → Letter
O
-
⑯: -3 → Letter
T
-
⑰: 12 → Letter
E
-
⑱: 0 → Letter
Y
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Part 3: Solve the Riddle
The riddle asks: "What has 13 hearts, but no other organs?" Using the matched letters, we form the answer:
HEARTS
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Final Answer:
\[
\boxed{\text{HEARTS}}
\]
Parent Tip: Review the logic above to help your child master the concept of adding integer worksheet.
