1. Subtract the first rational number from the second rational number.
-3 5
-4
4
5
(a)
2
(b)
and
(c) and
8
21
14
5
-
and
3
-7
Answers
Answer:
Let’s take the simplest possible dividend.
So, 899 (1) + 63 = 962.
This is on the basis of the formula-
Divisor (Quotient) + Remainder = Dividend
Now, when 962 is divided by 899, the quotient is 1 and the remainder is 63. So, we can use 962 as our dividend for 29.
962/29 = 33
Remainder = 5
You can repeat this with other quotient values. For example, 2.
899 (2) + 63 = 1861
1861/29 = 64
Remainder = 5
And so on…Keep taking possible whole number quotients and continue the above process.
Lastly, you can also use another technique. We know that 899 is divisible by 29.
899/29 = 31 (Perfect divisibility)
Now, in each case, the remainder after dividing by 899 is 63, as given in the question.
When 63 is divided by 29, it will always leave a remainder of 5.