R s aggarwal solutions mathematics class 6 Solutions for Chapter 3 whole numbers

Write the next three whole numbers after 30999.

Write the three whole numbers occurring just before 10001.

How many whole numbers are there between 1032 and 1209?

Which is the smallest whole number?

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

(i) 458 + 639 = 639 +_

(ii)864 + 2006 = 2006 + _

(iii)1946 + _= 984 + 1946

(iv) 8063 + 0 = _

(v) 53501 + (574 + 799) = 574 + (53501 + _)

Add the following numbers and check by reversing the order of the addends:

(i)16509 + 114

(ii) 2359 + 548

(iii) 19753 +2867

Find the sum: (1546 + 498) + 3589

Also, find the sum: 1546 + (498 + 3589). Are the two sums equal? State the property satisfied.

Determine each of the sums given below using suitable rearrangement.

(i) 953 + 707 + 647

(ii) 1983 + 647 + 217 + 353

(iii) 15409 + 278 + 691 + 422

(iv) 3259 + 10001 + 2641 + 9999

(v) 1 + 2 + 3 + 4 + 96 + 97 + 98 + 99

(vi) 2 + 3 + 4 + 5 + 45 + 47 + 48

Perform the following subtractions. Check your results by the corresponding additions.

(i) 6237 – 694

(ii) 21205 – 10899

(iii) 100000 – 78987

(iv) 1010101 – 656565

Replace each * by the correct digit in each of the following:

Find the difference :

(i) 463 – 9

(ii) 5632 – 99

(iii) 8640 – 999

(iv) 13007 – 9999

Find the difference between the smallest number of 7 digits and the largest number of 4 digits

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

(i) 246 × 1 = _

(ii) 1369 × 0 = _

(iii) 593 × 188 = 188 × _

(iv) 286 × 753 = _ × 286

(v) 38 × (91 × 37) =_ × (38 × 37)

(vi) 13 ×100 ×_= 1300000

(vii) 59 × 66 + 59 × 34 = 59 × ( _ )

(viii) 68 × 95 = 68 × 100 – 68 ×_

State the property used in each of the following Statements:

(i) 19 × 17 = 17 × 19

(ii) (16 × 32) is a whole number

(iii) (29 × 36) × 18 = 29 × (36 × 18)

(iv) 1480 × 1 = 1480

(v) 1732 × 0 = 0

(vi) 72 × 98 + 72 × 2 = 72 × (98 + 2)

(vii) 63 × 126 – 63 × 26 = 63 × (126 – 26)

Find the value of each of the following using various properties:

(i) 647 × 13 + 647 × 7

(ii) 8759 × 94 + 8759 × 6

(iii) 7459 × 999 + 7459

(iv) 9870 × 561 – 9870 × 461

(v) 569 × 17 + 569 × 13 + 569 × 70

(vi) 16825 × 16825 – 16825 × 6825

Determine each of the following products by suitable rearrangements:

(i) 2 × 1658 × 50

(ii) 4 × 927 × 25

(iii) 625 × 20 × 8 × 50

(iv) 574 × 625 × 16

(v) 250 × 60 × 50 × 8

(vi) 8 × 125 × 40 × 25

Find each of the following products, using distributive laws:

(i) 740 × 105

(ii) 245 × 1008

(iii) 947 × 96

(iv) 996 × 367

(v) 472 × 1097

(vi) 580 × 64

(vii) 439 × 997

(viii) 1553 × 198

Find each of the following products, using distributive laws:

(i) 3576 × 9

(ii) 847 × 99

(iii) 2437 × 999

Find the products:

1. Divide and check your answer by the corresponding multiplication in each of the following:

(i) 1936 ÷ 16

(ii) 19881 ÷ 47

(iii) 257796 ÷ 341

(iv) 6128 ÷ 582

(v) 34419 ÷ 149

(vi) 39039 ÷ 1001

Divide, and find out the quotient and remainder. Check your answer.

(i) 6971 ÷ 47

(ii) 4178 ÷ 35

(iii) 36195 ÷ 875

(iv) 93575 ÷ 400

(v) 23025 ÷ 1000

(vi) 16135 ÷ 875

Find the value of

(i) 65007 ÷ 47

(ii) 0 ÷ 879

(iii) 981 ÷ 5720 ÷ 10

(iv) 1507 – (625 ÷ 25)

(v) 32277 ÷ (648 – 39)

(vi) (1573 ÷ 1573) – (1573 ÷ 1573)

Find a whole number n such that n ÷ n = n

The product of the two numbers is 504347. If one of the numbers is 317, find the other.

On dividing 59761 by a certain number, the quotient is 189 and the remainder is 37.Find the

divisor.

On dividing 55390 by 299, the remainder is 75. Find the quotient using the division algorithm.

What least number must be subtracted from 13601 to get a number exactly divisible by 87?

The smallest whole number is

(a) 1

(b) 0

(c) 2

(d) none of these

The least number of 4 digits which is exactly divisible by 9 is

(a) 1018

(b) 1026

(c) 1009

(d) 1008

The largest number of 6 digits which is exactly divisible by 16 is

(a) 999980

(b) 999982

(c) 999984

(d) 999964

What least number should be subtracted from 10004 to get a number exactly divisible by 12?

(a) 4

(b) 6

(c) 8

(d) 20

What least number should be added to 10056 to get a number exactly divisible by 23?

(a) 5

(b) 18

(c) 13

(d) 10

What whole number is nearest to 457 which is divisible by 11?

(a) 450

(b) 451

(c) 460

(d) 462

How many whole numbers are there between 1018 and 1203?

(a) 185

(b) 186

(c) 184

(d) none of these

A number when divided by 46 gives 11 as quotient and 15 as remainder .The number is

(a) 491

(b) 521

(c) 701

(d) 679

In a division sum, we have dividend = 199, quotient = 16 and remainder = 7.

The divisor is

(a) 11

(b) 23

(c) 12

(d) none of these

7589 – ? = 3434

(a) 11023

(b) 4245

(c) 4155

(d) none of these

587 × 99 =?

(a) 57213

(b) 58513

(c) 58113

(d) 56413