Chapter 2 :- Whole Numbers

1. Find the full number that is on the number line to the left of the other number in each  of the following pairs of numbers.. Also, provide the proper symbol (>, ) between them in  your writing. 

(a) 530, 503 (b) 370, 307 (c) 98765, 56789 (d) 9830415, 10023001 

Explanation:

(a) 530 > 503 

In the number line, 503 is therefore to the left of 530. 

(b) 370 > 307 

In the number line, 307 is therefore to the left of 370. 

(c) 98765 > 56789 

In the number line, 56789 is therefore to the left of 98765. 

(d) 9830415 < 10023001 

As a result, on the number line, 9830415 is located to the left of 10023001.


2. Which of these propositions is true (T) and which is false (F)?

(A) The number 0 is the smallest one in nature. 

(B)The year 400 came before the year 399. 
(C) Is whole number zero is small. 
(D) The 600 replaces the 599.
(E)Every single natural number is a whole number.
(F) The whole numbers are all natural numbers.

Explanation:

(A) False 

As a natural number, 0 is not one. 

(B)

False 

Because 399 minus 1 equals 398, 398 comes before 399.

(C)True 

The least possible whole number is zero. 

(D) True 

Because (599 + 1 = 600) 

(E) True 

Natural numbers are exclusively whole numbers.

(F) False 

The number zero is a whole number but not A natural number.


3. Determine the total by an appropriate rearrangement: 

(a) 837 + 208 + 363

(b) 1962 + 453 + 1538 + 647 

Explanation:

Assuming 837 plus 208 plus 363 

= (837 + 363) + 208 

= 1200 + 208 

= 1408 

(b) Using 1962 plus 453, 1538, and 647 = (1962 + 1538) + (453 + 647) 

= 3500 + 1100 

= 4600 


4. Determine the value of the subsequent: (a) 297 × 17 + 297 × 3 

(b) 54279 × 92 + 8 × 54279 

(c) 81265 × 169 – 81265 × 69 

(d) 3845 × 5 × 782 + 769 × 25 × 218

Explanation:

Given: 297 17 + 297 3 

= 297 × (17 + 3) 

= 297 × 20 

= 5940 

(a) Given: 54279.54279 92 + 8. 

= 54279 × 92 + 54279 × 8 

= 54279 × (92 + 8) 

= 54279 × 100 

= 5427900 

(c) Using the formula 81265 169 - 81265 69 = 81265 × (169 – 69) (169 – 69) 

= 81265 × 100 

= 8126500

(d) Given 3845 minus 5 plus 769 plus 25 plus 218 

= 3845 × 5 × 782 + 769 × 5 × 5 × 218 

= 3845 × 5 × 782 + 3845 × 5 × 218 

= 3845 × 5 × (782 + 218) 

= 19225 × 1000 

= 19225000 


5.  A taxi driver filled up his car’s tank with 40 litres of gasoline on Monday. He added  50 litres of gasoline to the tank the following day. How much did he spend overall on  gasoline if a litre of gasoline costs 44 cents? 

Explanation:

40 litres of gas were filled on Monday. 

On Tuesday, 50 litres of gasoline were filled. 

Total amount of gasoline poured is (40 + 50) litres. 

Petrol costs 44 cents per litre. 

Spending total = 44 (40 + 50) 

= 44 × 90

= ₹ 3960


6. Between 32 and 53, how many whole numbers are there?

Explanation:

Following are the entire numbers between 32 and 53: 

(33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52) There are 20 whole numbers between 32 and 53 as a result.


7. Indicate who will succeed: 

(a) 2440701 (b) 100199 (c) 1099999 (d) 2345670 

Explanation:

Those who succeed are 

(a) 2440701 + 1 = 2440702 

(b) 100199 + 1 = 100200 

(c) 1099999 + 1 = 1100000 

(d) 2345670 + 1 = 2345671


8. A seller gives a hotel 32 litres of milk in the morning and 68 litres of milk in the evening.  How much money is owed to the vendor each day if the milk has a 45 cent per litre cost 

Explanation:

The amount of milk provided in the morning was 32 litres. 

Milk provided that evening was 68 litres. 

For 45 cents, one litre of milk. 

Milk costs 45 cents per day (32 plus 68). 

= 45 × 100 

= ₹ 4500 

As a result, the vendor is due $4500 per day.