Can You Pass This Properties Of Addition And Multiplication Test?

1. What number would make the number sentence true? 4x(?x6) = (4x3)x6

3

To make the number sentence true, we need to find the missing number that satisfies the equation. By solving the equation, we can see that 4 multiplied by 3 equals 12, and 12 multiplied by 6 also equals 72. Therefore, the missing number that makes the number sentence true is 3.

Explanation

To make the number sentence true, we need to find the missing number that satisfies the equation. By solving the equation, we can see that 4 multiplied by 3 equals 12, and 12 multiplied by 6 also equals 72. Therefore, the missing number that makes the number sentence true is 3.

2. What number will make the number sentence true? 48 x _____ = 0

0

Any number multiplied by 0 equals 0. Therefore, the number that will make the number sentence true is 0.

Explanation

Any number multiplied by 0 equals 0. Therefore, the number that will make the number sentence true is 0.

3. What number would make the number sentence tue? 44+(32+36)= (44+___)+36

32

To make the number sentence true, we need to find the missing number that, when added to 44, will result in the same sum as adding 32 and 36. Since 32+36 equals 68, we can deduce that the missing number should be 32. Therefore, if we substitute 32 for the blank space in the equation, both sides will be equal, making the number sentence true.

Explanation

To make the number sentence true, we need to find the missing number that, when added to 44, will result in the same sum as adding 32 and 36. Since 32+36 equals 68, we can deduce that the missing number should be 32. Therefore, if we substitute 32 for the blank space in the equation, both sides will be equal, making the number sentence true.

4. What number would make the number sentence true? 48 +____= 88 + 48

88

48

0

To make the number sentence true, we need to find the missing number that, when added to 48, will equal the sum of 88 + 48. The sum of 88 + 48 is equal to 136. Therefore, the missing number is 88.

Explanation

To make the number sentence true, we need to find the missing number that, when added to 48, will equal the sum of 88 + 48. The sum of 88 + 48 is equal to 136. Therefore, the missing number is 88.

5. What number will make the number sentence true? 72 x ___ = 72

1

In order for the number sentence "72 x ___ = 72" to be true, the missing number must be 1. When 72 is multiplied by 1, the product is 72.

Explanation

In order for the number sentence "72 x ___ = 72" to be true, the missing number must be 1. When 72 is multiplied by 1, the product is 72.

6. Which property of addition is used below? (8+6)+3 = 8+(6+3)

Associative

The property of addition used in the given equation is the associative property. This property states that the grouping of numbers being added does not affect the sum. In the equation, the numbers 8, 6, and 3 are being added. The equation shows that whether we add 8 and 6 first and then add 3, or add 6 and 3 first and then add 8, the result will be the same. This demonstrates the associative property of addition.

Explanation

The property of addition used in the given equation is the associative property. This property states that the grouping of numbers being added does not affect the sum. In the equation, the numbers 8, 6, and 3 are being added. The equation shows that whether we add 8 and 6 first and then add 3, or add 6 and 3 first and then add 8, the result will be the same. This demonstrates the associative property of addition.

7. What number would make the number sentence true? 6x(5x9)= (6x__)x9

5

In order to make the number sentence true, we need to find a number that, when multiplied by 6, gives us a product that is equal to 5. Since 5 is the only number that, when multiplied by 6, gives us a product of 30, it is the correct answer.

Explanation

In order to make the number sentence true, we need to find a number that, when multiplied by 6, gives us a product that is equal to 5. Since 5 is the only number that, when multiplied by 6, gives us a product of 30, it is the correct answer.

8. What property is illustrated by the fact below? 32 x 75 = 75 x 32

Commutative Property of Multiplication

Associative Property of Multiplication

Associative Property of Addition

Commutative Property of Addition

The fact that 32 x 75 is equal to 75 x 32 demonstrates the commutative property of multiplication. This property states that the order of the numbers being multiplied does not affect the result. In other words, when multiplying two numbers, the product will be the same regardless of the order in which the numbers are multiplied.

Explanation

The fact that 32 x 75 is equal to 75 x 32 demonstrates the commutative property of multiplication. This property states that the order of the numbers being multiplied does not affect the result. In other words, when multiplying two numbers, the product will be the same regardless of the order in which the numbers are multiplied.

9. ( 4 + 5 ) + 7 = 4 + ( 5 + 7)

Associative property

Commutative property

Identity property

Distributive property

The given equation shows the associative property of addition. According to this property, the grouping of numbers being added does not affect the sum. In other words, regardless of how the numbers are grouped, the sum remains the same. In this case, the equation demonstrates that adding 4 and 5 first, and then adding the result to 7, yields the same sum as adding 5 and 7 first, and then adding the result to 4. Therefore, the equation exemplifies the associative property of addition.

Explanation

The given equation shows the associative property of addition. According to this property, the grouping of numbers being added does not affect the sum. In other words, regardless of how the numbers are grouped, the sum remains the same. In this case, the equation demonstrates that adding 4 and 5 first, and then adding the result to 7, yields the same sum as adding 5 and 7 first, and then adding the result to 4. Therefore, the equation exemplifies the associative property of addition.

10. Which property of addition is used below? 4 + 3 = 3 + 4

Associative property of multiplication

Commutative property of multiplication

Associative property of addition

Commutative property of addition

The given equation, 4 + 3 = 3 + 4, demonstrates the commutative property of addition. This property states that the order in which numbers are added does not affect the sum. In other words, when adding two numbers, the result will be the same regardless of the order in which the numbers are added. In this case, switching the order of the numbers 4 and 3 does not change the sum, proving the commutative property of addition.

Explanation

The given equation, 4 + 3 = 3 + 4, demonstrates the commutative property of addition. This property states that the order in which numbers are added does not affect the sum. In other words, when adding two numbers, the result will be the same regardless of the order in which the numbers are added. In this case, switching the order of the numbers 4 and 3 does not change the sum, proving the commutative property of addition.