Decimals, Fractions, and Percents Flashcards

1
Q

Gross profit

A

Revenues minus expenses, or selling price minus cost

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2
Q

principal (loan or investment)

A

The original loan or investment amount

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3
Q

Simple annual interest

A

(principal) × (interest Rate) × (time)

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4
Q

Compound interest

A

based on the principal plus any interest already earned

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5
Q

Compound interest over n periods

A

(principal) × (1 + interest per period)^n − principal

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6
Q

Trick for solving word problems with percents and fractions

A

Organize information in a table

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7
Q

Equivalent Fraction

A

Same Number

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8
Q

Reducing to lowest terms

A

Divide each fraction’s numerator and denominator by the greatest common divisor

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9
Q

Greatest Common Divisor

A

Largest factor common to that numerator and that denominator

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10
Q

reciprocal of fraction

A

​n / d​ is ​d / n​, if n and d are not 0

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11
Q

mixed number

A

an integer next to a fraction

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12
Q

consecutive integers

A

For any integer n, the numbers in the set {n, n + 1, n + 2, n + 3,…}

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13
Q

If x and y are integers and x ≠ 0, then x is a divisor or factor of y if

A

y = xn for some integer n

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14
Q

quotient

A

Dividing a positive integer y by a positive integer x, and then rounding down to the nearest nonnegative integer

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15
Q

composite number

A

integer greater than 1 that’s not prime

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16
Q

Squaring a number greater than 1, or raising it to any power greater than 1, gives

A

a larger number

17
Q

Squaring a number between 0 and 1 gives

A

a smaller number

18
Q

Number of square roots per positive number

A

Two, a positive and negative

19
Q

Number of cube roots per real number

A

one

20
Q

The square root of a negative number is

A

imaginary

21
Q

Rules of exponentiation

A
22
Q

scientific notation

A

a decimal is written with only one nonzero digit to the decimal point’s left, multiplied by a power of 10.

23
Q

Formula for the distance an object travels

A

distance = rate * time

24
Q

Finding object’s travel speped

A

distance / time

25
Q

Work problem

A

Basic formula is: 1/r + 1/s = 1/h

where r is how long an amount of work takes a certain individual, s is how long that much work takes a different individual and h is how long that much work takes both individuals working at the same time

26
Q
A