TEAS Math

Question 1

How do you convert a decimal to a percent?
EX a. 1.22
EX b. .384

Answer 1

Multiply by 100. Or simply move decimal point 2 places to the RIGHT. Don’t forget to add a percent sign.
EX a. 122%
EX b. 38.4%

Question 2

How do you convert a percent to a decimal?
EX a. 73.7%
EX b. 138%

Answer 2

Divide by 100. Or simply move the decimal 2 places to the LEFT. Drop the percent sign.
EX a. 0.737
EX b. 1.38

Question 3

How do you convert a decimal to a fraction?
EX a. 1.07
EX b. 0.516

Answer 3

For numbers greater than 1, move the decimal point until you have a whole number. This becomes the numerator. The denominator begins with 1 and put the same number of zeros as you moved the decimal to make the whole number.
EX a. 1.07 = 107/100

For numbers less than 1, 0.516, for example, use 516 as your numerator and the place value of the last decimal digit as the denominator (in this case, thousandths).
EX b. 0.516 = 516/1000

Question 4

How do you convert a fraction to a decimal?
EX a. 19/10
EX b. 13/50

Answer 4

Divide the numerator by the denominator
EX a. 19/10 = 1.9
EX b. 0.26

Question 5

1. How do you convert from a percent to a fraction?
   EX a. 75%
2. How do you convert from a fraction to a percent?
   EX b. 3/4

Answer 5

1. First convert the percent to a decimal. Then convert the decimal to a fraction
   EX a. 75% = .75 = 75/100 = 3/4
2. First convert the fraction to a decimal. Then convert the decimal to a percent.
   EX b. 3/4 = .75 = 75%

Question 6

What is PEMDAS?

Answer 6

the order of operations and how you should proceed to solve math equations:
Parentheses, exponents, multiplication, division, addition, subtraction. multiplication, and division, addition and subtraction happen from left to right.

• when given a fraction bar such as this, 36-6/12+3, solve the equation on top and on bottom before dividing.

Question 7

When ordering numbers from smallest to largest, how do you make sense of fractions, decimals, ect.?
EX a. -5, 5 2/3, .523
EX b. which is greater, 8.33 or 8 2/3?

Answer 7

Try to get all the numbers in the same format, such as decimals.
EX a. -5, 0.523, and 5.666
EX b. 8.33 < 8.666
If comparing fractions, find the least common denominator to compare.

Question 8

Story Problems:
sum:
difference:
product:
quotient:
how many mL for a cc?

Answer 8

sum = addition
difference = subtraction
product = multiplication
quotient = division
1mL= 1cc

Question 9

Rounding rules:
1. What digit do you look at when rounding?

2. If this digit is 5 or greater what do you do? If less than 5?
3. How do you round a fraction?

Answer 9

1. Only consider the digit immediately to the right of the place which you are rounding.
2. Round up. Drop the digits that follow.
3. convert fraction to a decimal and round to the desired place.

Question 10

kilo:
deca:
deci:
centi:
milli:

Answer 10

kilo: 1000
centa: 100
deca: 10
deci: 1/10
centi: 1/100
milli: 1/1000

Question 11

systems of measurement in metric:

1. weight/mass:
2. Volume:
3. Linear distance:

Answer 11

metric systems of measurement:

weight: grams
volume: liter
distance: meter

Question 12

systems of measurement in US:

1. weight/mass:
2. Volume:
3. Linear distance:

Answer 12

US systems of measurement:

1. weight/mass: ounce, pound, tonne
2. Volume: fl ounce, pint, quart, gallon
3. Linear distance: inch, foot, yard, mile

Question 13

1. what is the unit conversion between 1lb and 1kg?

2. what is the unit conversion between ounces and grams?

Answer 13

1Kg=2.2lb or .45kg=1lb.

1 ounce= 28.35g

Question 14

1. how many pints in a quart?
2. how many quarts in a gallon?
3. how many quarts in a liter?
4. how many cc’s are in a ml?

Answer 14

2 pints = 1 quart
4 quarts = 1 gallon
1 quart = .95 liter
1cc = 1ml

Question 15

1. how many feet in one yard?
2. how many feet in a meter?
3. how many yards in a mile?
4. how many kilometers in a mile?
5. how many cm are in 1 inch

Answer 15

3 feet = 1 yard
3.048 feet = meter
1760 yards = 1 mile
1.6 kilometers = 1 mile
2.54cm = 1 inch

Question 16

Area formulas:

1. squares and rectangles:
2. Parallelograms:
3. Triangles:
4. Trapezoids:
5. Rhombus (diamond shape)
6. Circles:

Answer 16

1. length x width
2. b x h
3. 1/2 b x h
4. 1/2 x h (b1+b2)
5. 1/2 x d1 x d2
6. pi x r^2

Question 17

How to find the circumference of a circle?

How to find the length of an arc (part of a circle)

Answer 17

2 x pi x r

(n/360) 2 x pi x r {n is the central angle measure divided by 360, which is the degree of the whole circle}

Question 18

How do you add or subtract fractions?

Answer 18

1. find the LCD and rewrite fractions with the same denominators.
2. Remember to multiply the numerators by whatever you multiplied the denominators by.
3. Then you can add or subtract the numerators and add or subtract the denominators.

Question 19

How do you add or subtract mixed numbers?

Answer 19

1. add or subtract the whole numbers first to get the sum/difference of the whole numbers.
2. Then find the LCD and proceed with adding or subtracting the denominators.

Question 20

How do you multiply or divide fractions?

Answer 20

1. Multiplication: see if you can cross cancel anything first, then proceed by multiplying the numerators and then the denominators.
2. Division: multiply by the reciprocal of the second fraction.

Question 21

How to multiply/divide mixed numbers?

Answer 21

1. Multiply the denominator by the whole number and add the numerator (retain the same denominator). This will give you an improper fraction. Do this with all the mixed numbers in the equation.
2. Then you can multiply numerators and denominators. If fraction is improper at the end, divide numerator by denominator and rewrite as a mixed number. * whole number is the number of times the denominator goes into numerator. Remainder is numerator, and denominator is retained.
3. Follow same procedure with division: first make improper fractions then multiply by the reciprocal of the second fraction.