40 terms

FTCE General Knowledge Math - Numeration and Operations

numeration and operations section
PLAY
operations
factorXfactor=product
dividend ÷ divisor = quotient
division
dividend
---------- = quotient
divisor
divide by zero
any number ÷ 0 = can't do it
0 ÷ any number = 0
0 cannot be a divisor
prime number
whole number greater than 1 that is divisible only by itself and 1
composite
whole number greater than 1 that are not prime
prime factors
use factor tree - e.g. 36 = 2∗2∗3∗3
GCF greatest common factor
the greatest number that will divide evenly into the two numbers list factors of each then chose the highest one
LCM least common multiple
the least product that is a multiple of each of the counting numbers....factor each a build a product consisting of each factor the most number of times it appears as a factor in any one of the counting numbers in the set. e.g...24=2∗2∗2∗3 36=2∗2∗3∗3 so LCM (24,36) = 2∗2∗2∗3∗3 =72
1 is neither prime or composite
...
rational numbers
whole numbers, integers, positive and negative fractions, decimals, and percents
whole numbers
counting numbers and 0
integers
numbers that are either negative or positive and 0....o is not positive or negative
rational numbers
all numbers that can be written as positive or negative fractions ...rational numbers can be expressed as fractions, decimals, or percents
fractions
denominator is on bottom, numerator is on top
percents
to make an equivalent decimal number slide decimal two places to the left and drop the percent sign e.g....75% = .75
100%=1.00=1
...
75%=.75=3/4
...
50%=.50=.5=1/2
...
25%=.25=1/4
...
90%=.90=.9=9/10
...
80%=.80=.8=4/5
...
70%=.70=.7=7/10
...
60%=.60=.6=3/5
...
40%=.40=.4=2/5
...
30%=.30=.3=3/10
...
20%=.20=.2=1/5
...
10%=.10=.1=1/10
...
87 1/2% = .875=7/8
...
62 1/2 %=.625=5/8
...
37 12%=.375=3/8
...
12 1/2% = .125=1/8
...
66 2/3%=.66 2/3 =2/3
...
33 1/3% = .33 1/3 = 1/3
...
5%=.05=1/20
...
4%=.04=1/25
...
1%=.01=1/100
...
irrational square roots
irrational square roots do not have a number that they are evenly multiplied by...if given an irrational square root to estimate find the 2 numbers it falls between e.g. square root of 41 is between 6 and 7
rational square roots
nonnegative number that multiplies by itself to get the number e.g...square root of 1=1, square root of 25 is 5
1/0 a real number
NO...0 cannot be a divisor
exponential notation
eg...3⁴ = 3∗3∗3∗3=81

neagtive exponents eg. 2⁻³=½₃ = 1/8=.125

any number with 0 as an exponent is 1 e.g...3⁰=1