Rational and Irrational Number
What is a rational number?
Any number that can be written as a:
- Fraction
- Percentage
- Terminating Decimal
- Recurring Decimal
0.35 (1 d.p.)
0.4
0.3333333... as a recurring decimal
0.dot3
0.5
50%
50%
1/2
0.6
3/5
0.39___0.398
0.39 < 0.398
What is the price of something if it is 50% off $200?
$100
What is an Irrational Number?
Any number that is written as a never-ending decimal without a pattern
0.99 (1 d.p.)
1.0
is 23.2784 terminating or recurring?
Terminating
0.01
10%
75%
3/4
-0.45
-9/25
-3/4 ____ 0.75
-3/4 < 0.75
What is the price of 1/10 of a $300 item that is 20% off?
$6
is 0.75 R or IRR?
R
0.655 (2 d.p.)
0.66
is 3.8bar53 terminating or recurring?
Recurring
22.7
2270%
32%
9/25
1/9
0.dot1
0.1______1/9
0.1 < 1/9
What is the price of something if it is 45% off $10?
$5.50
Is 0.727272727272... R or IRR?
R
27.35994 (2 d.p.)
27.36
is 4.8128389402... terminating or recurring?
Neither
102%
1.2
124/100
124%
4/7
0.bar571428
Ascending 12,0.3dot5,75%,35,17%,0.02,145,0.8
0.02,0.17,0.3dot5,0.75,0.8,12,35,145
My flour bag contains 800g. I use 1/10 of it in a cake. Then I later use 25% of the remaining flour making paper machete. How much is left?
540g
is pi R or IRR?
IRR
1.44495 (4 d.p.)
1.4450
Write 22/7 as a recurring decimal
3.bar142857
38.5%
0.385
40/25
160%
57 2/5
57.4
Descending: -0.5,-1/3,-33%,-0.4,-2/5
-0.33,-0.3dot3,-0.4,-0.4,-0.5
A sugar container holds 1,200 grams of sugar. You use 1/6 of it to bake cookies. Later, you use 20% of the remaining sugar to make lemonade.
How much sugar is left?
800g