Associative property

Q. Which of the following is an example of the Closure Property of multiplication for the set of whole numbers?

1. 74 + 59 = 59 + 74
2. 65 $\times$ 3 = 3 $\times$ 65
3. 6 $\times$ 4 = 24
4. (2 + 4) + 5 = 2 + (4 + 5)

Q. 50 + (40 + 10) =

1. 50×(40+10)
2. 40×(50+10)
3. (50+40)+10
4. 10+(50×40)

Q. (10×3)×5=

1. 10×(3×5)
2. 10+(3×5)
3. 10+3+5
4. 10×(3+5)

Q.

The sum (267 + 345) + 21 is same as the sum 267 + (345 + 21).

1. True

2. False

Q. $6\times (7\times 3)=(6\times 7)\times 3$ is an example of which property with respect to multiplication?

1. Closure property
2. Commutative property
3. Distributive property
4. Associative property

Q.

$\begin{array}{cc}\text{Properties of multiplication}& \text{Representation}\\ 1.\text{Distributive Property}& a.a\times b=b\times a\\ 2.\text{Commutative Property}& b.a\times (b\times c)=(a\times b)\times c\\ 3.\text{Associative Property}& c.a\times (b+c)=a\times b+a\times c\end{array}$

Pick the option which shows the correct match.

1. $1-a;2-b;3-c$

2. $1-b;2-a;3-c$

3. $1-c;2-a;3-b$

4. $1-c;2-b;3-a$

Q. Associative property can be expressed as:
$a\times (b\times c)=(a\times b)\times c$

1. True
2. False

Q. ____ states that changing the grouping of the factors in a multiplication statement does not change the product.

1. Commutative Property of Addition
2. Associative Property of Multiplication
3. Order of Operations
4. Distributive property