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In Division of Whole Numbers Worksheet you will get different types of problems on properties of division of whole numbers, divide and check by division algorithm and word problems on division of whole numbers.
1. Divide 36408 by 7 and check the result by division algorithm.
Or
Divide 36408 by 7 and check the answer by corresponding multiplication.
Solution:
Check: We know that:
Dividend = Divisor × Quotient + Remainder
Therefore, 36408 = 7 × 5201 + 1
= 36407 + 1
= 36408 = Dividend.
Hence, the result is correct.
2. What least number should be subtracted from 6034, so that 35 divides the difference exactly?
Solution:
To get the required number, we divide 6034 by 35. The remainder will be the required number.
Hence, the required number is 14.
3. What least number should be added to 2400 so that 19 divides their sum exactly?
Solution:
To get the required number, first we divide 2400 by 19 and then subtract the remainder from the divisor.
Hence, the required number is 19 – 6 = 13.
4. If the greatest 7-digit number is divided by the smallest 5-digit number, what will be the quotient and the remainder?
Solution:
The greatest 7-digit number = 9999999
The smallest 5-digit number = 10000
Hence, the quotient = 999 and remainder = 9999.
Worksheet
1. Which of the following statements are not defined?
(i) 3 ÷ 1
(ii) 15 ÷ 0
(iii) 0 ÷ 7
(iv) 0 ÷ 0
(v) 1 ÷ 6
(vi) 1 ÷ 0
2. Complete the following table
3. Divide and check the answer by corresponding multiplication:
(i) 351585 ÷ 65
(ii) 36018 ÷ 87
(ⅲ) 20878 ÷ 286
(iv) 33777 ÷ 243
4. Divide and check by division algorithm:
(i) 762098 ÷ 136
(ii) 67209 ÷ 53
(iii) 923047 ÷ 72
(iv) 1034401 ÷ 429
5. Write down the value of the following:
(i) 0 ÷ 4560
(ii) 43509 ÷ 1
(iii)
850 ÷ 85 – 10
(iv) 9999 + 741 ÷ 741
(v) 2496 + 100 ÷ 25
(vi) 70 × 101 – 560 ÷ 8
(vii) (77284 ÷ 278) ÷ 278
(viii) (60 × 30) – 1800 ÷ 300
6.
What least number should be subtracted from 2750 so that 23 divides the
difference exactly?
7.
What least number should be added to 1804 so that 42 divides their sum exactly?
8.
Find the greatest and the least 7-digit numbers that are exactly divisible by
103.
9.
Indian Oil Corporation Limited releases 6,57,702 ℓ of oil for 18 states.
If it distributes equally to all the states, how much oil will each state get?
10.
If the greatest 8-digit number is divided by the smallest 6-digit number, what
will be the quotient and the remainder?
11.
If the smallest 8-digit number is divided by the greatest 4-digit number, what
will be the quotient and the remainder?
Answer:
1. (ii) not defined
(iv) not defined
(vi) not defined
2.
3. (i) 5409
(ii)
414
(iii) 73
(iv)
139
4. (i) Q = 5603; R = 90
(ii)
Q = 1268; R = 5
(iii) Q = 12820; R = 7
(iv) Q = 24628; R = 25
5.
(i) 0
(ii) 43509
(iii) 0
(iv)
10000
(v)
2500
(vi)
7000
(vii)
1
(viii)
1794
6.
13
7.
2
8.
9999961; 1000027
9.
36,539 ℓ
10.
Q = 999; R = 99999
11.
Q = 1000; R = 1000
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