Associative Property

Q.

Name five large cities in India. Find their population. Also, find distance in kilometre between each pair of these cities.

Q.

What are the $4$ properties of math?

Q.

Which of the following statements is not true?
(A) Both addition and multiplication are associative for whole numbers.
(B) Zero is the identity for multiplication of whole numbers.
(C) Addition and multiplication both are commutative for whole numbers.
(D) Multiplication is distributive over addition for whole numbers.

Q.

Find three whole numbers whose product and sum are equal.

Q.

Evaluate $724\times (-56)+(-724)\times 44$ using properties

Q.

In a game of $100$ points, $A$ can give $B$, $20$ points and $C$, $28$ points. Then, $B$ can give $C$, how many points?

Q.

Divide and find the quotient

$(-1728)÷12$

Q. Find the following sum using suitable rearrangement.
(1962 + 453 + 1538 + 647)

1. 4000
2. 4100
3. 4550
4. 4500

Q.

Solve using suitable property, state the property used.

8 x 5 x 125 x 20 x 6

1. 60, 000, Commutative property

2. 60, 000, Associative property

3. 80, 000, Closure property

4. 8000, Distributive property.

Q.

Find the product by suitable rearrangement: $125\times 40\times 8\times 25$

Q.

Find the product using some patterns.

$728\times 101$

Q.

Question 1 (vi)

Find the sum:
$\frac{-2}{3}+0$

Q. Fill the missing number in the boxes, and state the property involved in each case.

(a) 23 + 48 = 48 + ____	__________
(b) 2 × 63 = ____ × 2	__________
(c) (67 + 42) + 38 = 67 + (42 + ____)	__________
(d) 49 + 88 + 51 = 88 + _____	__________
(e) (733 × 5) × 2 = 733 × (5 × ____)	__________
(f) 2 × 725 × 5 = 725 × ____	__________
(g) 867 × ____ = 867	__________
(h) 437 + ____ = 437	__________
(i) 496 × ____ = 0	__________

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

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

Q. Find the sum by suitable arrangement.
2852 + 553 + 2648 + 647 + 300

1. 5600
2. 7600
3. 6700
4. 7000

Q.

Question 1(b)

Find the sum by suitable rearrangement:
1962 + 453 + 1538 + 647

Q.

Pick the correct statement from the following?

1. i, ii, iii

2. i only

3. i, iii only

4. None of them are correct

Q.

The total population comprising of men, women and children of a town is $270497$. If the number of the men is $68795$ and that of the women is $68005$. Find the number of the children in the town.

Q.

The product of three integers is positive. How many of the integers can be negative? Explain.

Q. Commutative property does not hold good for which of the following operations?

1. Subtraction
2. Multiplication
3. Division
4. (a) and (c) above.

Q.

The population of a village is $3975$. The number of males is $2050$. What is the number of females?

Q. Which of the following shows distributive property of multiplication over addition? ​

1. (7 × 8) 9​
2. 7(8+9)
3. (7+8) + 9
4. (7 × 8) + 9​

Q.

Multiply the following by suitable rearrangement.

2 × 4 × 8 × 50 × 125

Q. $200+(300+100)=(200+300)+100$

$\text{This is an example of}$____________.

1. distributivity
2. associativity
3. commutativity
4. identity

Q.

Which of the following is an example of the Associative 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 x 4) x 5 = 2 x (4 x 5)

Q.

Simplify.$480÷2of\left[40-\left\{21+\left(36÷\overline{6+3}\right)\right\}\right]$

Q. Add each of the following and check by reversing the order of addends:

(i) 5628 + 39784
(ii) 923584 + 178
(iii) 15409 + 112
(iv) 2359 + 641

Q.

Simplify $8901+99999$

Q.

Fill in the blanks with >, < or = sign.

(a) (− 3) + (− 6) _____ (− 3) − (− 6)

(b) (− 21) − (− 10) _____ (− 31) + (− 11)

(c) 45 − (− 11) _____ 57 + (− 4)

(d) (− 25) − (− 42) _____ (− 42) − (−25)

Q.

How many thousands make a lakh?