Rational Numbers
Irrational Numbers
Mixed bag
100
What is a rational number?
A number that can be written as p/q where p and q are integers, q <> 0
100
What is the difference between a rational & an irrational number in decimal form?
A rational number can be written as a terminating or non-terminating repeating decimal number.
An irrational number is written as a non-terminating non-repeating decimal number.
100
Find the value of 161/4
2
200
True or false. Give reasons.
1. There can be infinitely many integers between two integers.
1. There can be infinitely many rational numbers between two integers.
1. False
2. True
200
D
200
Which is greater?
7/11 or 9/13
7/11 = (7*13)/(11*13) = 91/143
9/13 = (9*11)/(13*11) = 99/143
99/143 > 91/143
=> 9/13 > 7/11
300
If -7/x = -x/28, find the value of x.
-7/x = -x/28
=> -x2 = -28*7
=> x2 = 196 = 142
=> x = 14
300
If p = (1+√3)
Find the value of (p-1)/(p+1)
2√3 - 3
300
Simplify: (1+√2)/(1−√2)
− (3 + 2√2)