Commutative Property for Multiplication on Integers

Q.

If p, q and r are integers, then which of the following is not necessarily an integer?

1. $r÷(p+q)$
2. $(p-r)\times (r-q)$
3. $(p-q)+r$
4. $(p+q)\times r$

Q.

Fill in the blanks is the following and also mention the law which is used.

(1)

(2)

(3)

(4)

(5)

(6)

Q.

Write $2$subtraction facts for each addition fact.

$982+108=1090$

Q.

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

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-b; 3-a

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

Q. Which of the following satisfy the commutative property of integers under multiplication?

1. $2\times (-4+3)=(2\times -4)+(2\times 3)$
2. $(-6)\times (-8)=(-8)\times (-6)=48$
3. $(-8)+6+(-7)=6+(-7)+(-8)$
4. $4\times (-6)\times (-10)=(-6)\times (-10)\times 4=(-10)\times (-6)\times$
   

Q. $\text{Slide the slider to the value of :}(4\times 8)\times 5+(35+12)-7$

1. 200

Q. $(-5)\times 3=3\times (-5)=(-15)$
which proves that integers are ___________ under multiplication.

1. Associative
2. Distributive
3. Commutative
4. Closed

Q. Match the following.

1. b+a
2. (a+b)+c
3. (a×b)+(a×c)

Q. Multiplication is NOT commutative.

1. False
2. True

Q.

Fill in the blanks to make the statement a true statement.

$\left(539+438\right)+501=\left(501+\_\right)+\_$.

Q.

what is the difference between adittive, distributive and commutative property?