Question

Without actual division, find out the quotient when the sum of numbers 167, 716 and 671 is divided by
(a)37
(b) 111​

Answer 1

Answer:

42, 14

Step-by-step explanation:

Given  

Without actual division, find out the quotient when the sum of numbers 167, 716 and 671 is divided by(a)37(b) 111

By adding 167 + 716 + 671 = 1554

Now we know that by expanding the numbers we can write as

167 = 1 x 100 + 6 x 10 + 7

716 = 7 x 100 + 1 x 10 + 6

671 = 6 x 100 + 7 x 10 + 1

Now 167 + 716 + 671  

= 1 x 100 + 6 x 10 + 7 + 7 x 100 + 1 x 10 + 6 + 6 x 100 + 7 x 10 + 1

= (1 + 7 + 6)100 + (6 + 1 + 7)10 + (7 + 6 + 1)

= 14 x 100 + 14 x 10 + 14

= 14(100 + 10 + 1)

= 14 x 111

= 14 x 3 x 37 (3 x 37 = 111)

= 42 x 37

So quotient is 42 when 1554 is divided by 37.

Similarly for 111 we get

14 x 1 x 111

14 x 111  

So quotient is 14 when 1554 is divided by 111