Math worksheet for adding and subtracting integers with a fun heart-themed riddle.
A worksheet titled "13 Hearts" featuring math problems involving adding and subtracting integers, with a cartoon sheep holding hearts and a riddle section below.
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Show Answer Key & Explanations
Step-by-step solution for: Integers: Printable Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Integers: Printable Worksheets
Explanation:
We are given two parts:
Part 1: Solve the arithmetic problems (addition and subtraction of integers)
Each problem is labeled with a letter (A–R), and we need to compute each result.
Let’s solve them one by one, carefully:
A) 4 + (−12) = 4 − 12 = −8
B) 8 + (−5) = 8 − 5 = 3
C) −3 − 8 = −3 + (−8) = −11
D) 7 + (−4) = 7 − 4 = 3
E) −20 + 12 = −8
F) 6 + (−3) = 6 − 3 = 3
G) −8 + (−4) = −8 − 4 = −12
H) −1 − (−2) = −1 + 2 = 1
I) −4 + 3 = −1
J) −7 − (−7) = −7 + 7 = 0
K) 6 + (−10) = 6 − 10 = −4
L) −1 − (−3) = −1 + 3 = 2
M) −16 + 1 = −15
N) −8 + 5 = −3
O) 13 + (−5) = 13 − 5 = 8
P) −3 + (−10) = −13
Q) −2 + 10 = 8
R) −11 − 5 = −16
S) −7 + (−8) = −15
Wait — let’s double-check the labeling. The worksheet shows:
Top row:
① A: 4 + (−12)
② H: −1 − (−2)
③ B: 8 + (−5)
④ I: −4 + 3
⑤ C: −3 − 8
⑥ J: −7 − (−7)
⑦ D: 7 + (−4)
⑧ K: 6 + (−10)
Middle row:
⑨ E: −20 + 12
⑩ L: −1 − (−3)
⑪ O: 13 + (−5)
⑫ R: −11 − 5
⑬ F: 6 + (−3)
⑭ M: −16 + 1
⑮ P: −3 + (−10)
⑯ S: −7 + (−8)
Bottom row:
⑰ G: −8 + (−4)
⑱ N: −8 + 5
⑲ Q: −2 + 10
So total 19 problems (labeled A–S, but some letters skipped). Let's list all 19 with correct results:
1. A: 4 + (−12) = −8
2. H: −1 − (−2) = −1 + 2 = 1
3. B: 8 + (−5) = 3
4. I: −4 + 3 = −1
5. C: −3 − 8 = −11
6. J: −7 − (−7) = 0
7. D: 7 + (−4) = 3
8. K: 6 + (−10) = −4
9. E: −20 + 12 = −8
10. L: −1 − (−3) = 2
11. O: 13 + (−5) = 8
12. R: −11 − 5 = −16
13. F: 6 + (−3) = 3
14. M: −16 + 1 = −15
15. P: −3 + (−10) = −13
16. S: −7 + (−8) = −15
17. G: −8 + (−4) = −12
18. N: −8 + 5 = −3
19. Q: −2 + 10 = 8
Now, Part 2: Solve the riddle
> What has 13 hearts, but no other organs?
Below that, there’s a table:
- Top row: numbers: 13, −16, 2, −18, −3, 9, 1
- Middle row: numbers: −15, 8, −4, −17, −1, −11, 3
- Bottom row: numbers: 18, −8, −13, −12, 0
And arrows pointing from top → middle → bottom, suggesting mapping via the earlier answers.
But notice: the riddle says “What has 13 hearts, but no other organs?”
This is a classic riddle — the answer is a deck of playing cards, because a standard deck has 13 hearts (the Heart suit has Ace through King = 13 cards), and cards don’t have organs.
Also, the worksheet title is “13 Hearts”, and the cartoon is a sheep covered in hearts — likely a fun visual, but the riddle answer is well-known.
To confirm using the math: The bottom row values likely correspond to letters (A=1, B=2, ..., Z=26, maybe with negatives wrapping or using absolute values? But simpler: many such worksheets use the computed answers to match positions or decode letters.)
Let’s see if any of the 19 answers match the numbers in the bottom row:
Bottom row: 18, −8, −13, −12, 0
Our answers include:
−8 (A, E)
−12 (G)
−13 (P)
18 — do we have 18? No. 0 (J) yes.
But perhaps the riddle is independent and just needs the word.
Given this is a common riddle, and the clue is “13 hearts, but no other organs”, the answer is definitely a deck of cards (or simply cards).
In many worksheets, they expect: deck of cards or playing cards.
Let me verify with standard version:
Q: What has 13 hearts but no other organs?
A: A deck of playing cards. (Because the heart suit has 13 cards; cards aren’t alive, so no organs.)
Yes.
So final answer is: deck of cards
Final Answer:
deck of cards
We are given two parts:
Part 1: Solve the arithmetic problems (addition and subtraction of integers)
Each problem is labeled with a letter (A–R), and we need to compute each result.
Let’s solve them one by one, carefully:
A) 4 + (−12) = 4 − 12 = −8
B) 8 + (−5) = 8 − 5 = 3
C) −3 − 8 = −3 + (−8) = −11
D) 7 + (−4) = 7 − 4 = 3
E) −20 + 12 = −8
F) 6 + (−3) = 6 − 3 = 3
G) −8 + (−4) = −8 − 4 = −12
H) −1 − (−2) = −1 + 2 = 1
I) −4 + 3 = −1
J) −7 − (−7) = −7 + 7 = 0
K) 6 + (−10) = 6 − 10 = −4
L) −1 − (−3) = −1 + 3 = 2
M) −16 + 1 = −15
N) −8 + 5 = −3
O) 13 + (−5) = 13 − 5 = 8
P) −3 + (−10) = −13
Q) −2 + 10 = 8
R) −11 − 5 = −16
S) −7 + (−8) = −15
Wait — let’s double-check the labeling. The worksheet shows:
Top row:
① A: 4 + (−12)
② H: −1 − (−2)
③ B: 8 + (−5)
④ I: −4 + 3
⑤ C: −3 − 8
⑥ J: −7 − (−7)
⑦ D: 7 + (−4)
⑧ K: 6 + (−10)
Middle row:
⑨ E: −20 + 12
⑩ L: −1 − (−3)
⑪ O: 13 + (−5)
⑫ R: −11 − 5
⑬ F: 6 + (−3)
⑭ M: −16 + 1
⑮ P: −3 + (−10)
⑯ S: −7 + (−8)
Bottom row:
⑰ G: −8 + (−4)
⑱ N: −8 + 5
⑲ Q: −2 + 10
So total 19 problems (labeled A–S, but some letters skipped). Let's list all 19 with correct results:
1. A: 4 + (−12) = −8
2. H: −1 − (−2) = −1 + 2 = 1
3. B: 8 + (−5) = 3
4. I: −4 + 3 = −1
5. C: −3 − 8 = −11
6. J: −7 − (−7) = 0
7. D: 7 + (−4) = 3
8. K: 6 + (−10) = −4
9. E: −20 + 12 = −8
10. L: −1 − (−3) = 2
11. O: 13 + (−5) = 8
12. R: −11 − 5 = −16
13. F: 6 + (−3) = 3
14. M: −16 + 1 = −15
15. P: −3 + (−10) = −13
16. S: −7 + (−8) = −15
17. G: −8 + (−4) = −12
18. N: −8 + 5 = −3
19. Q: −2 + 10 = 8
Now, Part 2: Solve the riddle
> What has 13 hearts, but no other organs?
Below that, there’s a table:
- Top row: numbers: 13, −16, 2, −18, −3, 9, 1
- Middle row: numbers: −15, 8, −4, −17, −1, −11, 3
- Bottom row: numbers: 18, −8, −13, −12, 0
And arrows pointing from top → middle → bottom, suggesting mapping via the earlier answers.
But notice: the riddle says “What has 13 hearts, but no other organs?”
This is a classic riddle — the answer is a deck of playing cards, because a standard deck has 13 hearts (the Heart suit has Ace through King = 13 cards), and cards don’t have organs.
Also, the worksheet title is “13 Hearts”, and the cartoon is a sheep covered in hearts — likely a fun visual, but the riddle answer is well-known.
To confirm using the math: The bottom row values likely correspond to letters (A=1, B=2, ..., Z=26, maybe with negatives wrapping or using absolute values? But simpler: many such worksheets use the computed answers to match positions or decode letters.)
Let’s see if any of the 19 answers match the numbers in the bottom row:
Bottom row: 18, −8, −13, −12, 0
Our answers include:
−8 (A, E)
−12 (G)
−13 (P)
18 — do we have 18? No. 0 (J) yes.
But perhaps the riddle is independent and just needs the word.
Given this is a common riddle, and the clue is “13 hearts, but no other organs”, the answer is definitely a deck of cards (or simply cards).
In many worksheets, they expect: deck of cards or playing cards.
Let me verify with standard version:
Q: What has 13 hearts but no other organs?
A: A deck of playing cards. (Because the heart suit has 13 cards; cards aren’t alive, so no organs.)
Yes.
So final answer is: deck of cards
Final Answer:
deck of cards
Parent Tip: Review the logic above to help your child master the concept of adding and subtracting integers worksheet with answers.