Question

MATHEMATICS
REAL NUMBERS
cations related to finding
plications below:
e form 2q, and that every
integer.
by Euclid's algorithm,
, because 0 Sr< 2. So,
EXERCISE 1.1
1. Use Euclid's division algorithm to find the HCF of:
() 135 and 225
(in) 196 and 38220
(iii867 and 255
2. Show that any positive odd integer is of the form 6q+1. or 69 +3. or 69 +5, where
some integer
3. An a ingent of 616 members is to march behind an army band of 32 member
ap
two groups are to march in the same number of columns. What is
m
nber of columns in which they can march?
division lemma to show that the square of any positive integer is eithe
pr 3m + 1 for some integer m.
be any positive integer then it is of the form 37, 39 + 1 or 3 + 2 Nows
ese and show that they can be rewritten in the form 3mor 3m + 1
id's division lemma to show that the cube of any positive integer is of the
+ 1 or 9m+8.
a positive integer can be
the form 2q + 1.
m 49 + 1 or 49 +3, where
dd integer. We apply the
Fundamental Theorem of Arithmetic
sur earlier classes, you have seen that any natural number can be writte
ito nrime factors. For instance 9-24- 27521​

Answer 1

please make me brainly

Answer 2

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