8B Review

Fraction > Decimal

100

What is 3/4 as a decimal?

.75

200

What is 8/12 as a decimal?

.6 repeating

300

what is 20/50 as a decimal?

.4

400

What is 13/4 as a decimal?

3.25

500

what is the decimal rule with any single digit over 9?

ex: 5/9

Any single digit over 9 ends up being that digit as a repeating decimal. 

ex: 5/9 = .555555...

Decimal > Fraction

100

Convert .35 to a fraction and reduce if possible

35/100 = 7/20

200

Convert .24 to a fraction and reduce if possible

24/100 = 6/25

300

Covert 8.12 to a fraction and reduce if possible

8 12/100 = 8 3/25

400

Conver .19 to a fraction and reduce if possible

19/100 = Can not reduce 

500

What is the rule when converting a decimal to a fraction?

put the decimal over 1 and keep multiplying by 10 until there is no longer a decimal. 

*You can also count how many digits there are to the right of the decimal and add that many zeros after the 1. 

EX: .34 has two digits which means you can add two zeros to the 1 on the denominator. 34/100

Repeating decimals > Fraction

100

Covert .181818(r) to a fraction and reduce if possible

18/99 = 2/11

200

Covert .030303(r) to a fraction and reduce if possible

3/99 = 1/33

300

Convert .636363(r) to a fraction and reduce if possible

63/99 = 7/11

400

Convert .33333(r) to a fraction and reduce if possible

3/9 = 1/3

500

What is the rule for converting a repeating decimal to a fraction?

For every number of digits repeating, add that many 9s as the denominator.

EX: .343434... has two digits repeating. This means you would place 34/99. 

Square/Square roots

100

True or false: squaring a number is just multiplying the number by 2. Explain.

False. A number to the "2nd power" means to multiply the number by itself. 

200

True or false: 3^2 is 9

True

300

What is 4^2, 5^2, 6^2, 7^2?

16,25,36,49

400

Any number with a square root that is a whole number is called what?

a perfect square

500

What is the square root of 9,49,81,16,100, 103?

3,7,9,4,10, 10.1

Random

100

What type of decimals are rational? 

repeating and terminating 

200

Is the the square root of 50 rational or irrational? 

irrational because it's non terminating/repeating

300

What is the difference between -5^2 and (-5)^2?

-5^2 = -25

(-5)^2= 25

400

Estimate the square root of 22.

4.7

500

Identify the following as rational or irrational:

a) 3.4567r

b) 3.4567...

c) 3.4567

a) rational (repeating)

b) irrational (non repeating/terminating)

c) rational (terminating)