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ACT Math: Numbers and Quantity
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Terms in this set (18)
Integer
Any positive or negative whole number.
Consecutive Integer
Any positive or negative whole numbers in a row. Ex: 1, 2, 3.
Factor
Smaller numbers that go into a larger number. Ex: Factors of 8 are 1, 2, 4, 8.
Multiple
Larger numbers that the given number goes into. Ex: Multiples of 8 are 8, 16, 24, 32...
Least Common Multiple
The smallest number that all given numbers go into. Ex: The least common multiple of 2, 5, 3 is 30.
Whole Number
Any number without a fraction or decimal.
Rational Number
A number that can be written as a simple fraction. Ex: 3, -7/11, 111/999.
Irrational Number
A number that cannot be written as a simple fraction. Ex: pi.
How do you add or subtract fractions?
1) Find a common denominator.
2) Add/Subtract numerators.
3) Denominator stays the same.
4) Simplify.
How do you multiply fractions?
1) Multiply straight across the numerator.
2) Multiply straight across the denominator.
3) Simplify.
How do you divide fractions?
1) Flip the numerator and denominator of the second fraction.
2) Multiply the new fraction by the first fraction.
3) Simplify.
Think: "Multiply by the reciprocal."
How do you change a percent into a decimal?
Move the existing decimal to the left 2 units. Ex: 40.8% = 0.408
How do you change a percent into a fraction?
Put the given percent in a fraction over 100. Ex: 40% = 40/100
How do you change a fraction into a decimal?
Use your calculator to divide the fraction.
Percent Change Formula
(Large - Small)/(Original Value)
How do you find the percent of a number? (Ex: 8% of 50.)
1) Change the percent into a decimal.
2) Multiply by the given number.
Ex: 0.08 x 50 = 4
How do you find what percent one number is of another number? (Ex: 4 is what percent of 5.)
1) Write the "is" number in the numerator of a fraction.
2) Write that "of" number in the denominator.
3) Divide using calculator.
4) Move decimal to the left 2 units.
Ex: 4 / 5 = 0.80 = 80%
Cross Multiplication
Used to solve for variable in two fractions that are equal to each other. Ex: 1/2 = x/10.
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