3. By suitable arrangements, find the sum of:
(i) 311,528, 289 (11) 723, 834, 66, 277 (iii) 78, 203, 435, 7197, 422.
4. Fill in the blanks to make each of the following a true statement:
(1) 375 x 57 = 57 x ....
(ii) (33 x 16) x 25 = 33 x (....
(iii) 37 x 24 = 37 x 18 + 37
(iv) 7205 x 1 = ... = 1 * 7205
(U) 366 x 0 = ...
(vi) x 579 = 0
(vii) 473 x 108 = 473 x 100 + 473 x ... (viii) 684 x 97 = 684 x 100 -
(x) (14 - 14) + 7 = ....
(ix) 0 - 5 = ...
5. Determine the following products by suitable arrangement:
( 4 x 528 x 25 (ii) 625 x 239 x 16 (11) 125 x 40 x 8 x 25.
6. Find the value of the following:
(1) 54279 x 92 + 54279 x 8
(ii) 60678 x 262 - 60678 x
7. Find the following products by using suitable properties:
(1) 739 x 102
(ii) 1938 x 99 (111) 1005 x 188
Answers
Step-by-step explanation:
6) Find the value of the following:
(i) 54279 x 92 + 54279 x 8
= 4993668 + 434232
= 5427900
(ii) 60678 x 262 – 60678 x 162
= 15897636 – 9829836
= 6067800
(7) Find the following product by using suitable product:
(i) 739 x 102
= 75378
(ii) 1938 x 99
= 191862
(iii) 1005 x 188
= 188940
(8) Divide 7750 by 17 and check the result by division algorithm
Solution: 7750 / 17
= 455.8823529412
(9) Find the number which when divided by 38 gives quotient 23 and remainder 17
Solution: 38 x 23 + 17
= 874 + 17
= 891
(10) Which least number should be subtracted from 1000 so that the difference is exactly divisible by 35?
Solution: 1000 / 35
= Quotient is 28 Remainder is 20
So, If we subtract 20 from 1000 then the number divided by 1000
Ans. 20
(11) Which least number should be added to 1000 so that 53 divides the sum exactly?
Solution: 1000 / 53
=> Quotient is = 17 Remainder = 99
So we have to add 99 with 1000.
Ans. 99
(12) Find the largest three digit number which is exactly divisible by 47
Solution: 47 x 21 = 987
The largest 3 digit number is 987, which is exactly divisible by 987
(13) Find the smallest five digit number which is exactly divisible by 254
Solution: 10000 / 254
=> Quotient =39, Remainder = 94
Now, 10000 + (254 – 94)= 10160
Ans. 10,160