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geometric sequence

a sequence of numbers in which you can find the next term by multiplying the previous term by the same number

Order of operations

PEMDAS parentheses, exponents, multiplication or division, then addition or subtraction

Natural number

the positive integers (whole numbers) 1, 2, 3, etc., and sometimes zero as well.

rational number

A positive or negative number (decimal, fraction, or percent), A number that can be written with an integer in the numerator and a positive integer in the denominator. A number that can be written as a/b where a and b are integers, but b is not equal to 0.

integers

the set of positive whole numbers and their opposites(negative numbers) and 0

real number

all rational or irrational numbers; real numbers can be represented on the real number line. Any number that exists. Includes all rational and irrational numbers.

Round

(of numbers) to the nearest ten, hundred, or thousand

truncate

approximate by ignoring all terms beyond a chosen one

prime number

A whole number that has exactly two factors, 1 and itself. An integer that has no integral factors but itself and 1, is a whole number greater then 1 that has exactly two factors, one and itself (7,11,29)

composite number

A positive whole number with more than two factors. In other words, a number that is not prime. Zero and one are neither composite nor prime. A positive whole number with more than two factors. In other words, a number that is not prime. Zero and one are neither composite nor prime.

Exponents

The number that is small and raised to show how many times to multiply the number by itself.

Scientific notation

There are two parts of the scientific notation. The first part is a number between 1-10. The second part is a power of ten. example: 2.25 * 10^4; A standardized way of expressing very large or very small numbers as the product of a number between 1 and 10 and a power of 10 (2.5 x 10^6 = 2.500,000)

reciprocals

another name for a multiplicative inverse. another name for a multiplicative inverse

absolute value

The distance a number is from zero. Always positive.

Rate

A ratio that compares two quantities having different units (e.g., 95 miles in 2 hours). a ratio that compares unlike units

Proportion

A statement where two fractions/ratios are equal

Scale factor

the ratio of the lengths of two corresponding sides of two similar polygons

Percents

A number out of one hundred. Make the fraction a decimal then multiply by one hundred. (i.e. 25% is = to 25 out of 100.)

Ratio

A comparison of two quantities by division.

a comparison by a proportion like 3:7

a comparison by a proportion like 3:7

irrational number

a number that cannot be put in the form of a fraction. includes square roots and non-repeating decimals. examples: .79146...., √5

non terminating decimal

a decimal the never ends and goes on forever; type of irrational number

Commission=Commission Rate X Sales

A. $115 (commission) = R x $2875

B. $115 / 2875 (fraction) = R x 2875 / 2875 (fraction)

C. Cross multiply

D. divide 115 by 2875 = .04 or 4%

B. $115 / 2875 (fraction) = R x 2875 / 2875 (fraction)

C. Cross multiply

D. divide 115 by 2875 = .04 or 4%

Percent difference

Scores on a college entrance exam rose from 20.0 in 1977 to 20.7 in 1986. What percent increase is this?

STEP 1: Find amount of INCREASE 20.7-20.0=0.7

STEP 2: The next step is to divide the increase by the ORIGINAL number. 0.7 / 20.0 (FRACTION) = 0.035

STEP 3: Finally, convert from decimal notation to percent notation. 0.035=3.5%

STEP 1: Find amount of INCREASE 20.7-20.0=0.7

STEP 2: The next step is to divide the increase by the ORIGINAL number. 0.7 / 20.0 (FRACTION) = 0.035

STEP 3: Finally, convert from decimal notation to percent notation. 0.035=3.5%

scientific notation

The number 123,000,000,000 in scientific notation is written as : 1.23 x 10(11) The first number 1.23 is called the coefficient. It must be greater than or equal to 1 and less than 10. The second number is called the base . It must always be 10 in scientific notation. The base number 10 is always written in exponent form. In the number 1.23 x 1011 the number 11 is referred to as the exponent or power of ten. To write a number in scientific notation: Put the decimal after the first digit and drop the zeroes. 1.23000000000. In the number 123,000,000,000 The coefficient will be 1.23

To find the exponent count the number of places from the decimal to the end of the number. In 123,000,000,000 there are 11 places. Therefore we write 123,000,000,000 as: 1.23 x 10(11)

To find the exponent count the number of places from the decimal to the end of the number. In 123,000,000,000 there are 11 places. Therefore we write 123,000,000,000 as: 1.23 x 10(11)