Fraction > Decimal
What is 3/4 as a decimal?
.75
Convert .35 to a fraction and reduce if possible
35/100 = 7/20
Covert .181818(r) to a fraction and reduce if possible
18/99 = 2/11
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.
What type of decimals are rational?
repeating and terminating
What is 8/12 as a decimal?
.6 repeating
Convert .24 to a fraction and reduce if possible
24/100 = 6/25
Covert .030303(r) to a fraction and reduce if possible
3/99 = 1/33
True or false: 3^2 is 9
True
Is the the square root of 50 rational or irrational?
irrational because it's non terminating/repeating
what is 20/50 as a decimal?
.4
Covert 8.12 to a fraction and reduce if possible
8 12/100 = 8 3/25
Convert .636363(r) to a fraction and reduce if possible
63/99 = 7/11
What is 4^2, 5^2, 6^2, 7^2?
16,25,36,49
What is the difference between -5^2 and (-5)^2?
-5^2 = -25
(-5)^2= 25
What is 13/4 as a decimal?
3.25
Conver .19 to a fraction and reduce if possible
19/100 = Can not reduce
Convert .33333(r) to a fraction and reduce if possible
3/9 = 1/3
Any number with a square root that is a whole number is called what?
a perfect square
Estimate the square root of 22.
4.7
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...
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
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.
What is the square root of 9,49,81,16,100, 103?
3,7,9,4,10, 10.1
Identify the following as rational or irrational:
a) 3.4567r
b) 3.4567...
c) 3.4567
b) irrational (non repeating/terminating)
c) rational (terminating)