Question

Rational numbers are fractions and their opposites. All of these numbers are rational numbers. Show that they are rational by writing them in the form a/b or -a/b.
0.2-1/5
-√4
0.333-333/1000
√100
-1.000001
√1/9
All rational numbers have decimal representations, too. Find the decimal representation of each of these rational numbers.
3/8
7/5
999/1000
111/2
3√1/8
Problem 4
Write each fraction as a decimal.
√9/100
99/100
√9/16
23/10

Answer 1

Rational numbers are fractions and their opposites. All of these numbers are rational numbers. Show that they are rational by writing them in the form a/b or -a/b.
0.2 = -1/5 That is 2/10 - 1/5 = 1/5 - 1/5 = 0
-√4 = -√2^2 = -2/1
0.333 = 333/1000
√100 = √10^2 = 10/1
-1.000001 = -1000001/ 1000000
√1/9 = √1^2/3^2 = 1/3
All rational numbers have decimal representations, too. Find the decimal representation of each of these rational numbers.
3/8 = .375 do with calculator or type into search engine 3/8=
7/5 = 1 + 2/5 = 1 + 4/10 = 1.4
999/1000 = 0.999
111/2 = 110/2 + 1/2 = 55.5
3√1/8 = 3 √(1/2 *1/4) = (1.5) √1/2 = not rational because square root 2 is not rational
= 1.060660172....... etc
Problem 4
Write each fraction as a decimal.
√9/100 0.09
99/100 0.99
√9/16 = 3/4 = 0.75
23/10 = 2.3