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1. Which equation shows the identity property of addition? • 8 + 7 = 7 + 8
• 4 = 1 + 2 + 3
• 0 + 3 = 3 • 6 + 7 = 7 + 6
Answer: 0 + 3 = 3According to the identity property of addition, a + 0 = a. Adding zero does not change the sum.
2. Which equation shows the commutative property of addition? • 5 + 6 = 6 +5 • 1 + 0 = 1
• 7 = 4 + 3 + 1
• 9 + (4 + 5) = (9 + 4) + 5
Answer: 5 + 6 = 6 +5According to the commutative property of addition, a + b = b + a. Adding numbers in any order gives the same sum.
3. Which equation shows the associative property of addition? • 1 + (2 + 3) = (1 + 2) + 3 • 6 + 7 = 8 + 9
• 6 + 0 = 6
• 4 + 8 = 8 + 4
Answer: 1 + (2 + 3) = (1 + 2) + 3According to the associative property of addition, a + (b + c) = (a + b) + c. The grouping of the numbers does not change the sum.
4. Which property of addition is represented by the following equation? t + 0 = t • associative
• commutative
• identity Answer: identityAccording to the identity property of addition, a + 0 = a. Adding zero does not change the sum.
5. Which property of addition is represented by the following equation? u + v = v + u • associative
• commutative • identity
Answer: commutativeAccording to the commutative property of addition, a + b = b + a. Adding numbers in any order gives the same sum.
6. Which property of addition is represented by the following equation? a + (b + c)=(a + b) + c • associative • commutative
• identity
Answer: associativeAccording to the associative property of addition, a + (b. + c) = (a + b) + c. The grouping of the numbers does not change the sum.
7. Which equation shows the identity property of addition? • a + b = b + c
• a + (b + c) = (a + b) + c
• i + 0 = i • r + s = s + t
Answer: i + 0 = iAccording to the identity property of addition, a + 0 = a. Adding zero does not change the sum.
8. Which equation shows the commutative property of addition? • 0 + k = k
• p + (q + r) = (p + q) + r
• h = h + 0
• p + q = q + p Answer: p + q = q + pAccording to the commutative property of addition, a + b = b + a. Adding numbers in any order gives the same sum.
9. Which equation shows the associative property of addition? • k = 0 + k
• i + j = j + i
• k + l = l + m
• m + (n + o) = (m + n) + o Answer: m + (n + o) = (m + n) + oAccording to the associative property of addition, a + (b. + c) = (a + b) + c. The grouping of the numbers does not change the sum.
10. Which property of addition is represented by the following equation? 7 + (3 + 4) = (7 + 3) + 4 • associative • commutative
• identity
Answer: associativeAccording to the associative property of addition, a + (b. + c) = (a + b) + c. The grouping of the numbers does not change the sum.
11. Which property of addition is represented by the following equation? 3 + 0 = 3 • associative
• commutative
• identity Answer: identityAccording to the identity property of addition, a + 0 = a. Adding zero does not change the sum.
12. Which property of addition is represented by the following equation? 7 + 2 = 2 + 7 • associative
• commutative • identity
Answer: commutativeAccording to the commutative property of addition, a + b = b + a. Adding numbers in any order gives the same sum.
13. Which equation shows the identity property of addition? • p + q = q + p
• j + 0 = j • u + (v + w) = (u + v) + w
• m − 0 = m
Answer: j + 0 = jAccording to the identity property of addition, a + 0 = a. Adding zero does not change the sum.
14. Which property of addition is represented by the following equation? p + q = q + p • associative
• commutative • identity
Answer: commutativeAccording to the commutative property of addition, a + b = b + a. Adding numbers in any order gives the same sum.
15. Which equation shows the associative property of addition? • 5 + 0 = 5
• 9 + (1 + 4) = (9 + 1) + 4 • 6 + 2 = 2 + 6
• 5 = 2 + 3 + 4
Answer: 9 + (1 + 4) = (9 + 1) + 4According to the associative property of addition, a + (b. + c) = (a + b) + c. The grouping of the numbers does not change the sum.
16. What is the missing number? 234 + 673 = + 234 • 234
• 673 • 907
• 0
Answer: 673According to the commutative property of addition, a + b = b + a. Adding numbers in any order gives the same sum.
17. What is the missing number? + 4675 = 4675 • 0 • 4675
• 1
• 5784
Answer: 0According to the identity property of addition, a + 0 = a. Adding zero does not change the sum.
18. What is the missing number? 5745 + (3856 + 7464) = ( + 3856) + 7464 • 7464
• 0
• 9601
• 5745 Answer: 5745According to the associative property of addition, a + (b. + c) = (a + b) + c. The grouping of the numbers does not change the sum.
19. What is the missing number? 894 + = 894 • 1788
• 1
• 0 • 849
Answer: 0According to the identity property of addition, a + 0 = a. Adding zero does not change the sum.
20. What is the missing number? 2549 + 4726 = 4726 + • 2549 • 4726
• 7275
• 0
Answer: 2549According to the commutative property of addition, a + b = b + a. Adding numbers in any order gives the same sum.
21. What is the missing number? 123 + (456 + 789) = ( + 456) + 789 • 456
• 0
• 789
• 123 Answer: 123According to the associative property of addition, a + (b. + c) = (a + b) + c. The grouping of the numbers does not change the sum.
Try the Quiz : Properties of Addition
