MATH CBEST WITH COMPLETE
SOLUTIONS
Zero - ANS-Zero is an integer; it is neither positive or negative
Multiplication Rules - ANS-Positive x Positive = Positive
Negative x Negative = Negative
Positive x Negative = Negative
Number Lines - ANS-Numbers get smaller the further they move to the left of zero
Integers - ANS-Numbers that do not contain fractions of decimals
Odd and Even - ANS-Even x Even = Even
Even x Odd = Odd
Odd x Odd = Odd
Even + Even = Even
Even + Odd = Odd
Odd + Odd = Even
Places and Digits - ANS-Tenths Place: 1/10 or .1
Hundredths Place: 1/100 or .01
Thousandths Place: 1/1000 or .001
PEMDAS - ANS-Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
Factors - ANS-Smaller Numbers that divide evenly into your original number; think
fractions
Multiples - ANS-Numbers that your original number will divide into easily; larger
numbers; think multiply
Reducing fractions - ANS-Try to reduce fractions before performing operations with
them if possible
Adding fractions with same denominator - ANS-Add the numerators of each fraction
, Covering mixed numbers into fractions - ANS-When you come across a mixed number,
you usually should convert it into an improper fraction
Adding and subtracting fractuons - ANS-Use the bow tie method
Multiplying Fractions - ANS-Line them up and multiply straight across
Dividing fractions - ANS-Flip the second fraction and multiply; only reduce after you
have flipped the second fraction
Comparing fractions - ANS-When two fractions have the same denominator, choose the
fraction with the largest numerator
When two fractions have different denominators, use the first part of the bow tie method
Decimals - ANS-To convert and fraction into a decimal, divide the numerator by the
denominator
Adding and subtracting decimals - ANS-Align the decimals places of all the numbers;
add zeros to make complete
Multiplying decimals - ANS-Ignore decimal points until you have completed the
multiplication; count the number of digits to the right of all decimal points; place the
decimal that number of places to the left of the final number
Divide decimals - ANS-Make sure the denominator is a whole number; move the
decimal to the right and do the same to the numerator to match
Percent - ANS-A number out of 100.
Converting a fraction into a percent - ANS-Convert the fraction into a decimal; multiply
the decimal by 100
Fraction to percentage table - ANS-1/100 = .01 = 1%
1/8 = .125 = 12.5%
1/5 = .2 = 20%
1/4 = .25 = 25%
1/3 = .333 = 33%
2/5 = .4 = 40%
1/2 = .5 = 50%
3/5 = .6 = 60%
2/3 = .667 = 66%
3/4 = .75 = 75%
4/5 = .8 = 80%
SOLUTIONS
Zero - ANS-Zero is an integer; it is neither positive or negative
Multiplication Rules - ANS-Positive x Positive = Positive
Negative x Negative = Negative
Positive x Negative = Negative
Number Lines - ANS-Numbers get smaller the further they move to the left of zero
Integers - ANS-Numbers that do not contain fractions of decimals
Odd and Even - ANS-Even x Even = Even
Even x Odd = Odd
Odd x Odd = Odd
Even + Even = Even
Even + Odd = Odd
Odd + Odd = Even
Places and Digits - ANS-Tenths Place: 1/10 or .1
Hundredths Place: 1/100 or .01
Thousandths Place: 1/1000 or .001
PEMDAS - ANS-Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
Factors - ANS-Smaller Numbers that divide evenly into your original number; think
fractions
Multiples - ANS-Numbers that your original number will divide into easily; larger
numbers; think multiply
Reducing fractions - ANS-Try to reduce fractions before performing operations with
them if possible
Adding fractions with same denominator - ANS-Add the numerators of each fraction
, Covering mixed numbers into fractions - ANS-When you come across a mixed number,
you usually should convert it into an improper fraction
Adding and subtracting fractuons - ANS-Use the bow tie method
Multiplying Fractions - ANS-Line them up and multiply straight across
Dividing fractions - ANS-Flip the second fraction and multiply; only reduce after you
have flipped the second fraction
Comparing fractions - ANS-When two fractions have the same denominator, choose the
fraction with the largest numerator
When two fractions have different denominators, use the first part of the bow tie method
Decimals - ANS-To convert and fraction into a decimal, divide the numerator by the
denominator
Adding and subtracting decimals - ANS-Align the decimals places of all the numbers;
add zeros to make complete
Multiplying decimals - ANS-Ignore decimal points until you have completed the
multiplication; count the number of digits to the right of all decimal points; place the
decimal that number of places to the left of the final number
Divide decimals - ANS-Make sure the denominator is a whole number; move the
decimal to the right and do the same to the numerator to match
Percent - ANS-A number out of 100.
Converting a fraction into a percent - ANS-Convert the fraction into a decimal; multiply
the decimal by 100
Fraction to percentage table - ANS-1/100 = .01 = 1%
1/8 = .125 = 12.5%
1/5 = .2 = 20%
1/4 = .25 = 25%
1/3 = .333 = 33%
2/5 = .4 = 40%
1/2 = .5 = 50%
3/5 = .6 = 60%
2/3 = .667 = 66%
3/4 = .75 = 75%
4/5 = .8 = 80%
