ASVAB Mathematics Practice Test
integer any positive or negative whole number or zero, such as −6, 0, 27
factor integers (whole numbers) that can be divided evenly into another integer,
To factor a number, you simply determine the numbers that you can
divide into it.
composite number a whole number that can be divided evenly by itself and by 1, as well as
by one or more other whole numbers
prime number a whole number that can be divided evenly by itself and by 1 but not by
any other number
exponent a shorthand method of indicating repeated multiplication, for example
15×15 can also be expressed as 15²
base a number that's used as a factor at least two times-its a number raised to
an exponent. for example the base of 4³ is 4
square root the number that, when multiplied by itself equals the original number, for
example the square root of 36 is 6, if you square 6 or multiply it by itself
you produce 36
factorial is represented by an exclamation point, you calculate a factorial by
finding the product of (multiplying) a whole number and all the whole
numbers less than it down to 1, so 6 factorial is 6×5×4×3×2×1
reciprocal the number by which another number can be multiplied to produce 1, if
you have a fraction its reciprocal is that fraction turned upside down
sum when you add two numbers together, you arrive at a
difference when you subtract, all that remains is a
product when you multiply, you come up with a
, ASVAB Mathematics Practice Test
quotient when you divide, you're left with a
order of operations step 1 parentheses take precedence, you should do everything contained in
parentheses first
order of operations step 2 exponents come next
order of operations step 3 multiplication and division
order of operations step 4 addition and subtraction are last
dividing a fraction the same thing as multiplying it by the inverse (reciprocal) of that number
to change a fraction into a decimal divide the numerator by the denominator
to change a decimal into a percent move the decimal point two spaces to the right and add a percent sign,
for example 0.6 becomes 60%
to change a percent to a decimal drop the percent sign and move the decimal point two places to the left,
adding zeros as needed.
dividing the number of miles by the amount of gas how do you figure out your gas mileage
ratio shows a relationship between two things, if Margaret invested in her
tattoo parlor at a 2:1 ratio to her partner Julie, then Margaret put in $2
for every $1 that Julie put in
1/250=m/1,250 If the scale on a road map is 1inch=250 miles, how many inches would
(1,250×)1/250=m/1,250(×1,250) represent 1,250 miles?
1,250/250=m
m=5
rate a fixed quantity,a 5% interest rate for example
simple interest formula principle (the initial amount invested) × rate × time
distance formula rate (speed) × time
rate formula distance ÷ time
irrational numbers whole numbers that have square roots that are decimals that go on
forever and have no pattern that repeats
integer any positive or negative whole number or zero, such as −6, 0, 27
factor integers (whole numbers) that can be divided evenly into another integer,
To factor a number, you simply determine the numbers that you can
divide into it.
composite number a whole number that can be divided evenly by itself and by 1, as well as
by one or more other whole numbers
prime number a whole number that can be divided evenly by itself and by 1 but not by
any other number
exponent a shorthand method of indicating repeated multiplication, for example
15×15 can also be expressed as 15²
base a number that's used as a factor at least two times-its a number raised to
an exponent. for example the base of 4³ is 4
square root the number that, when multiplied by itself equals the original number, for
example the square root of 36 is 6, if you square 6 or multiply it by itself
you produce 36
factorial is represented by an exclamation point, you calculate a factorial by
finding the product of (multiplying) a whole number and all the whole
numbers less than it down to 1, so 6 factorial is 6×5×4×3×2×1
reciprocal the number by which another number can be multiplied to produce 1, if
you have a fraction its reciprocal is that fraction turned upside down
sum when you add two numbers together, you arrive at a
difference when you subtract, all that remains is a
product when you multiply, you come up with a
, ASVAB Mathematics Practice Test
quotient when you divide, you're left with a
order of operations step 1 parentheses take precedence, you should do everything contained in
parentheses first
order of operations step 2 exponents come next
order of operations step 3 multiplication and division
order of operations step 4 addition and subtraction are last
dividing a fraction the same thing as multiplying it by the inverse (reciprocal) of that number
to change a fraction into a decimal divide the numerator by the denominator
to change a decimal into a percent move the decimal point two spaces to the right and add a percent sign,
for example 0.6 becomes 60%
to change a percent to a decimal drop the percent sign and move the decimal point two places to the left,
adding zeros as needed.
dividing the number of miles by the amount of gas how do you figure out your gas mileage
ratio shows a relationship between two things, if Margaret invested in her
tattoo parlor at a 2:1 ratio to her partner Julie, then Margaret put in $2
for every $1 that Julie put in
1/250=m/1,250 If the scale on a road map is 1inch=250 miles, how many inches would
(1,250×)1/250=m/1,250(×1,250) represent 1,250 miles?
1,250/250=m
m=5
rate a fixed quantity,a 5% interest rate for example
simple interest formula principle (the initial amount invested) × rate × time
distance formula rate (speed) × time
rate formula distance ÷ time
irrational numbers whole numbers that have square roots that are decimals that go on
forever and have no pattern that repeats
