Associativity of Whole Numbers

Q. There are 40 classes in a school and each class has 25 students. The fee paid by each student is ₹812 per month. What is the fee collection per month?

Q.

Find the products using suitable rearrangements . a. 250*35*40

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

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

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

Q. Calculate 296 + 37 + 4 using the properties of whole numbers.

1. 330
2. 227
3. 337
4. 417

Q.

The table shows the attendance of 1000 workers in an industry.

Answer the following questions.

$\begin{array}{cccc}\text{Days}& \text{Shift 1}& \text{Shift 2}& \text{Shift 3}\\ \text{Monday}& 300& 520& \\ \text{Tuesday}& 270& & 470\\ \text{Wednesday}& 350& 450& \\ \text{Thursday}& 400& & 250\\ \text{Friday}& & 420& 330\\ \text{Saturday}& 500& 250& \end{array}$

a) Find the numbers of workers who worked on Tuesday in shift 2.
b) Find the total number of workers in shift 3.
c) Find the total number of workers in shift 2.
d) Find the total number of workers who worked on Saturday in shift 3.
[4 MARKS]

Q. Find 34-(-72) and (-72)-34

Q. There are 40 classes in a school and each class has 25 students. The fee paid by each student is $ 812 per month. The fee collection per month is .

1. $ 250000
2. $ 812000
3. $ 400000
4. $ 100000

Q. In each of the following, fill in the blanks, so that the statement is true:

(i) (500 + 7) (300 − 1) = 299 × ...

(ii) 888 + 777 + 555 = 111 × ....

(iii) 75 × 425 = (70 + 5) (... + 85)

(iv) 89 × (100 − 2) × 98 × (100 − ....)

(v) (15 + 5) (15 − 5) = 225 − ....

(vi) 9 × (10000 + ...) = 98766

Q.

The age of a man is $\frac{2}{5}$th of the age of a tree in his housing complex. The tree is 90 years old. If the man's age multiplied by a number $x$ equals 180, find $x$.

1. 4

2. 5

3. 10

4. 8

Q.

Which of the following represents associative law of addition?

1. a + (bc) = (ab) + c

2. a + (b + c) ≠ (a + b) + c

3. a + b = b + a

4. a + (b + c) = (a + b) + c

Q.

Please Explain asservative property

Q. There are 40 classes in a school and each class has 25 students. The fee paid by each student is $ 812 per month. The fee collection per month is .

1. $ 250000
2. $ 812000
3. $ 400000
4. $ 100000

Q. There are 20 kits of cricket bats in a shop. Each bat costs ₹580. If there are 5 bats in each kit, how much will the shopkeeper earn if he sells all the kits?(use appropriate properties)

1. ₹68, 600
2. ₹58, 000
3. ₹52, 800
4. 62, 800

Q. There are 40 classes in a school and each class has 25 students. The fee paid by each student is $ 812 per month. The fee collection per month is .

1. $ 812000
2. $ 250000
3. $ 400000
4. $ 100000

Q. Which of the following shows additive identity?

1. 1 + 1 = 2
2. 1 + 0 = 1
3. 1 x 1 = 1
4. 1 x 0 = 0

Q. Sort the steps involved in solving 77 + 95 + 23 in the order of their occurence.
(1st step on the top)

1. 100 + 95
2. 77 + (95 + 23)
3. (77 + 23) + 95
4. 77 + (23 + 95)

Q. Which of the following expression resembles the given tree diagram?

1. a+b+c
2. a X b+c
3. a X (b+c)
4. (a+b) X c

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

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

Q. By re-arranging the given numbers, evaluate: $21+22+23+24+25+75+76+77+78+79$

Q. Fill in the blanks to make each of the following a true statement:

(i) 785 × 0=....

(ii) 4567 × 1=...

(iii) 475 × 129=129 × ....

(iv) .... × 8975=8975 × 1243

(v) 10 × 100 × ...=10000

(vi) 27 × 18=27 × 9+27 × ...+27 × 5

(vii) 12 × 45=12 × 50 − 12 × ...

(viii) 78 × 89=78 × 100 − 78...+78 × 5

(ix) 66 × 85=66 × 90 − 66 × ... − 66

(x) 49 × 66+49 × 34=49 × (...+...)

Q. Which of the following shows multiplicative identity?

1. 2 x 1 = 2
2. 2 x 2 = 4
3. 2 x 0 = 0
4. 2 x 3 = 6

Q. The property associated with subtraction is .

1. associativity
2. closure
3. commutativity

Q. Using commutative and associative properties, solve 5 × 7 × 2 × 2 × 8 × 5.

1. 4500
2. 1500
3. 7200
4. 5600

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

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

Q. Identify the property being applied.

(10.3 + 3.7) + 6.2 = 10.3 + (3.7 + 6.2)

1. Associative Inverse

2. Associative Property of Addition

3. Order of Operations

4. Commutative Property of Addition

Q. Which of the following shows multiplicative identity?

1. 2 x 2 = 4
2. 2 x 1 = 2
3. 2 x 3 = 6
4. 2 x 0 = 0

Q. Which of the following shows additive identity?

1. 1 + 0 = 1
2. 1 x 0 = 0
3. 1 + 1 = 2
4. 1 x 1 = 1

Q. Find the sum by suitable arrangement .
599 + 64 + 401 + 36

1. 
   1100
2. 
   1150
3. 
   1200
4. 
   1250