Question

Q1. State which property the following represent:

(a) 50 + ( 28 + 140) = (50+ 28)+ 140

(b) a× b = b × a

(c) 25 + 0=25 = 0+ 25

(d) 23 × 1= 1× 23

(e) 6× (2× 7) = (6× 2) × 7

Q2. How many 2 digit numbers are there?

Q3. __________ is the additive identity of whole numbers.

Q4. What is the predecessor of smallest natural number?

Q5. Write next 3 consecutive whole numbers of 39359.

Q6. Solve the following by suitable arrangement:

(a) 62 + 697 + 38 + 303 (b) 8× 1769 × 125 (c) 625 × 279 – 625× 79 (d) 985 × 102

Q7. A vendor supplies 32 litres of milk in the morning and 68 litres in the evening. If the milk costs Rs. 15 per litre, then

What is the money earned by the vender per day?​

Answer 1

Answer:

(i) A={a,b,c,d};B={d,c,b,a}

The order in which the elements of a set are listed is not significant.

∴A=B

(ii) A={4,8,12,16};B={8,4,16,18}

It can be seen that 12ϵA but 12ϵB.

∴A=B

(iii) A={2,4,6,8,10}

B={x:x is a positive even integer and x≤10}

={2,4,6,8,10}

∴A=B

(iv) A={x:x is a multiple of 10}

So, A={10,20,30,40....}

B={10,15,20,25,30....}

It can be seen that 15ϵB but 15ϵA.

∴A=B

Answer 2

Question 1:

State which property the following represent:

1. 50 + ( 28 + 140) = (50+ 28)+ 140
2. a× b = b × a
3. 25 + 0=25 = 0+ 25
4. 23 × 1= 1× 23
5. 6× (2× 7) = (6× 2) × 7

Answer:

1) 50 + ( 28 + 140) = (50+ 28)+ 140

➪ Associative Property Under Addition

2) a× b = b × a

➪ Commutative Property Under Multiplication

3) 25 + 0=25 = 0+ 25

➪ Commutative Property Under Addition And Additive Identity

4) 23 × 1= 1× 23

➪ Commutative Property Under Multiplication And Multiplicative Identity

5) 6× (2× 7) = (6× 2) × 7

➪ Associative Property Under Multiplication

___________________________

Question 2:

How many 2 digit numbers are there?

Answer:

• There are '92' 2-digit numbers.

___________________________

Question 3:

__________ is the additive identity of whole numbers.

Answer:

Zero is the Additive identity of whole numbers.

• Zero is neutral to Addition and is called Identity of Addition.
• Addition of Zero does not change the value of rational number.

___________________________

Question 4:

What is the predecessor of smallest natural number?

Answer:

Smallest Natural Number = 1

Predecessor of 1 = 1-1 = 0

➪ Predecessor of Smallest Natural is Smallest Whole Number that is 0.

___________________________

Question 5:

Write next 3 consecutive whole numbers of 39359.

Answer:

• Numbers which moves in continuous order from Smallest to largest are called Consecutive Numbers.
• For Example : '1,2,3,4....'

3 Consecutive whole numbers of 39359

1. (39359+1) = 39360
2. (39359+2) = 39361
3. (39359+3) = 39362 and so on...

___________________________

Question 6:

Solve the following by suitable arrangement:

1. 62 + 697 + 38 + 303
2. 8× 1769 × 125
3. 625 × 279 – 625× 79
4. 985 × 102

Answer:

a) 62 + 697 + 38 + 303

➪ (62 + 38) + (697 + 303)

= 100 + 1000

= 1100

b) 8× 1769 × 125

➪ (8 × 125) × 1769

= 1000 × 1769

= 1769000

c) 625 × 279 – 625× 79 in

➪ 625 (279 - 79)

= 625 × 200

= 125000

d) 985 × 102

➪ 985 × (100 + 2)

= (985 × 100) + (985 × 2)

= 98500 + 1970

= 100470

___________________________

Question 7:

A vendor supplies 32 litres of milk in the morning and 68 litres in the evening. If the milk costs Rs. 15 per litre, then what is the money earned by the vender per day?

Answer:

Milk supplied in morning = 32 litres

Milk supplied in Evening = 68 litres

Total capacity of milk supplied = (32 + 68) litres

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀= 100 litres

Cost of per litre of milk = Rs.15

Total cost earned by vendor per day=(32+68)×15

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀=100 × 15

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀= Rs 1500

Therefore Vendor earned Rs. 1500 per day.

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Hope It Helps You!