Representing Number

Rational and Irrational Number

100

What is a rational number?

Any number that can be written as a:

- Fraction

- Percentage

- Terminating Decimal

- Recurring Decimal

200

What is an Irrational Number?

Any number that is written as a never-ending decimal without a pattern

300

is 0.75 R or IRR?

R

400

Is 0.727272727272... R or IRR?

R

500

is  pi  R or IRR?

IRR

Rounding

100

0.35 (1 d.p.)

0.4

200

0.99 (1 d.p.)

1.0

300

0.655 (2 d.p.)

0.66

400

27.35994 (2 d.p.)

27.36

500

1.44495 (4 d.p.)

1.4450

Recurring and Terminating Decimals

100

0.3333333... as a recurring decimal

0.dot3

200

is 23.2784 terminating or recurring?

Terminating

300

is  3.8bar53 terminating or recurring?

Recurring

400

is 4.8128389402... terminating or recurring?

Neither

500

Write  22/7 as a recurring decimal

3.bar142857

Decimal / Percentage

100

0.5

50%

200

0.01

10%

300

22.7

2270%

400

102%

1.2

500

38.5%

0.385

Percentage / Fraction

100

50%

1/2

200

75%

3/4

300

32%

9/25

400

124/100

124%

500

40/25

160%

Decimal / Fraction

100

0.6

3/5

200

-0.45

-9/25

300

1/9

0.dot1

400

4/7

0.bar571428

500

57 2/5

57.4

Comparing and Ordering

100

0.39___0.398

0.39 < 0.398

200

 -3/4 ____ 0.75

-3/4 < 0.75

300

0.1______1/9

 

0.1 < 1/9

400

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

500

Descending: -0.5,-1/3,-33%,-0.4,-2/5 

-0.33,-0.3dot3,-0.4,-0.4,-0.5

Working Mathematically

100

What is the price of something if it is 50% off $200?

$100

200

What is the price of  1/10 of a $300 item that is 20% off?

$6

300

What is the price of something if it is 45% off $10?

$5.50

400

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

500

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