Practice solving for unknown values in integer equations with this comprehensive worksheet covering numbers between -20 and 20.
Printable math worksheet for finding missing integers in addition and subtraction equations within 20 and -20.
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Step-by-step solution for: Printable primary math worksheet for math grades 1 to 6 based on ...
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Show Answer Key & Explanations
Step-by-step solution for: Printable primary math worksheet for math grades 1 to 6 based on ...
To find the missing numbers, we need to solve each equation. Here is how to think about them:
* For addition ($A + B = C$): If you know the total ($C$) and one part ($A$), subtract the known part from the total to find the missing part ($B = C - A$).
* For subtraction ($A - B = C$):
* If the first number is missing ($\square - B = C$), add the two known numbers together ($A = C + B$).
* If the second number is missing ($A - \square = C$), subtract the result from the starting number ($B = A - C$).
* Watch the signs: Remember that subtracting a negative number is the same as adding (e.g., $5 - (-3)$ becomes $5 + 3$). Adding a negative number is the same as subtracting (e.g., $5 + (-3)$ becomes $5 - 3$).
Here are the solutions for each row:
Row 1:
1. $20 + \square = 16$: Think $16 - 20$. The answer is -4.
2. $\square - (-7) = 20$: This is $\square + 7 = 20$. Think $20 - 7$. The answer is 13.
3. $-13 + \square = -11$: Think $-11 - (-13)$, which is $-11 + 13$. The answer is 2.
Row 2:
4. $\square - 5 = -20$: Think $-20 + 5$. The answer is -15.
5. $-18 + \square = -20$: Think $-20 - (-18)$, which is $-20 + 18$. The answer is -2.
6. $\square - (-7) = -5$: This is $\square + 7 = -5$. Think $-5 - 7$. The answer is -12.
Row 3:
7. $11 + \square = 4$: Think $4 - 11$. The answer is -7.
8. $\square - (-6) = -5$: This is $\square + 6 = -5$. Think $-5 - 6$. The answer is -11.
9. $17 + \square = 10$: Think $10 - 17$. The answer is -7.
Row 4:
10. $\square - 2 = -12$: Think $-12 + 2$. The answer is -10.
11. $18 + \square = 11$: Think $11 - 18$. The answer is -7.
12. $\square - (-1) = -14$: This is $\square + 1 = -14$. Think $-14 - 1$. The answer is -15.
Row 5:
13. $-10 + \square = -16$: Think $-16 - (-10)$, which is $-16 + 10$. The answer is -6.
14. $\square + 12 = -1$: Think $-1 - 12$. The answer is -13.
15. $-11 + \square = -20$: Think $-20 - (-11)$, which is $-20 + 11$. The answer is -9.
Row 6:
16. $\square - (-6) = 18$: This is $\square + 6 = 18$. Think $18 - 6$. The answer is 12.
17. $-18 - \square = -11$: Think $-18 - (-11)$, which is $-18 + 11$. The answer is -7.
18. $\square - (-1) = 11$: This is $\square + 1 = 11$. Think $11 - 1$. The answer is 10.
Row 7:
19. $-18 + \square = -15$: Think $-15 - (-18)$, which is $-15 + 18$. The answer is 3.
20. $\square + 11 = -4$: Think $-4 - 11$. The answer is -15.
21. $20 + \square = 13$: Think $13 - 20$. The answer is -7.
Row 8:
22. $\square - (-8) = 20$: This is $\square + 8 = 20$. Think $20 - 8$. The answer is 12.
23. $-18 + \square = -20$: Think $-20 - (-18)$, which is $-20 + 18$. The answer is -2.
24. $\square - (-7) = 6$: This is $\square + 7 = 6$. Think $6 - 7$. The answer is -1.
Row 9:
25. $13 + \square = 7$: Think $7 - 13$. The answer is -6.
26. $\square - (-6) = 18$: This is $\square + 6 = 18$. Think $18 - 6$. The answer is 12.
27. $10 - \square = 20$: Think $10 - 20$. The answer is -10.
Row 10:
28. $\square + (-8) = -20$: This is $\square - 8 = -20$. Think $-20 + 8$. The answer is -12.
29. $-18 - \square = -10$: Think $-18 - (-10)$, which is $-18 + 10$. The answer is -8.
30. $\square + (-17) = -3$: This is $\square - 17 = -3$. Think $-3 + 17$. The answer is 14.
Final Answer:
Row 1: -4, 13, 2
Row 2: -15, -2, -12
Row 3: -7, -11, -7
Row 4: -10, -7, -15
Row 5: -6, -13, -9
Row 6: 12, -7, 10
Row 7: 3, -15, -7
Row 8: 12, -2, -1
Row 9: -6, 12, -10
Row 10: -12, -8, 14
* For addition ($A + B = C$): If you know the total ($C$) and one part ($A$), subtract the known part from the total to find the missing part ($B = C - A$).
* For subtraction ($A - B = C$):
* If the first number is missing ($\square - B = C$), add the two known numbers together ($A = C + B$).
* If the second number is missing ($A - \square = C$), subtract the result from the starting number ($B = A - C$).
* Watch the signs: Remember that subtracting a negative number is the same as adding (e.g., $5 - (-3)$ becomes $5 + 3$). Adding a negative number is the same as subtracting (e.g., $5 + (-3)$ becomes $5 - 3$).
Here are the solutions for each row:
Row 1:
1. $20 + \square = 16$: Think $16 - 20$. The answer is -4.
2. $\square - (-7) = 20$: This is $\square + 7 = 20$. Think $20 - 7$. The answer is 13.
3. $-13 + \square = -11$: Think $-11 - (-13)$, which is $-11 + 13$. The answer is 2.
Row 2:
4. $\square - 5 = -20$: Think $-20 + 5$. The answer is -15.
5. $-18 + \square = -20$: Think $-20 - (-18)$, which is $-20 + 18$. The answer is -2.
6. $\square - (-7) = -5$: This is $\square + 7 = -5$. Think $-5 - 7$. The answer is -12.
Row 3:
7. $11 + \square = 4$: Think $4 - 11$. The answer is -7.
8. $\square - (-6) = -5$: This is $\square + 6 = -5$. Think $-5 - 6$. The answer is -11.
9. $17 + \square = 10$: Think $10 - 17$. The answer is -7.
Row 4:
10. $\square - 2 = -12$: Think $-12 + 2$. The answer is -10.
11. $18 + \square = 11$: Think $11 - 18$. The answer is -7.
12. $\square - (-1) = -14$: This is $\square + 1 = -14$. Think $-14 - 1$. The answer is -15.
Row 5:
13. $-10 + \square = -16$: Think $-16 - (-10)$, which is $-16 + 10$. The answer is -6.
14. $\square + 12 = -1$: Think $-1 - 12$. The answer is -13.
15. $-11 + \square = -20$: Think $-20 - (-11)$, which is $-20 + 11$. The answer is -9.
Row 6:
16. $\square - (-6) = 18$: This is $\square + 6 = 18$. Think $18 - 6$. The answer is 12.
17. $-18 - \square = -11$: Think $-18 - (-11)$, which is $-18 + 11$. The answer is -7.
18. $\square - (-1) = 11$: This is $\square + 1 = 11$. Think $11 - 1$. The answer is 10.
Row 7:
19. $-18 + \square = -15$: Think $-15 - (-18)$, which is $-15 + 18$. The answer is 3.
20. $\square + 11 = -4$: Think $-4 - 11$. The answer is -15.
21. $20 + \square = 13$: Think $13 - 20$. The answer is -7.
Row 8:
22. $\square - (-8) = 20$: This is $\square + 8 = 20$. Think $20 - 8$. The answer is 12.
23. $-18 + \square = -20$: Think $-20 - (-18)$, which is $-20 + 18$. The answer is -2.
24. $\square - (-7) = 6$: This is $\square + 7 = 6$. Think $6 - 7$. The answer is -1.
Row 9:
25. $13 + \square = 7$: Think $7 - 13$. The answer is -6.
26. $\square - (-6) = 18$: This is $\square + 6 = 18$. Think $18 - 6$. The answer is 12.
27. $10 - \square = 20$: Think $10 - 20$. The answer is -10.
Row 10:
28. $\square + (-8) = -20$: This is $\square - 8 = -20$. Think $-20 + 8$. The answer is -12.
29. $-18 - \square = -10$: Think $-18 - (-10)$, which is $-18 + 10$. The answer is -8.
30. $\square + (-17) = -3$: This is $\square - 17 = -3$. Think $-3 + 17$. The answer is 14.
Final Answer:
Row 1: -4, 13, 2
Row 2: -15, -2, -12
Row 3: -7, -11, -7
Row 4: -10, -7, -15
Row 5: -6, -13, -9
Row 6: 12, -7, 10
Row 7: 3, -15, -7
Row 8: 12, -2, -1
Row 9: -6, 12, -10
Row 10: -12, -8, 14
Parent Tip: Review the logic above to help your child master the concept of printable math sheets for grade 6.