Context for Mathematics: Numbers and Operations Flashcards

(35 cards)

1
Q

Basic building blocks of mathematics

A

Numbers

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2
Q

Any positive or negative whole number, including zero. Does not include fractions, decimals, or mixed numbers.

A

Integer

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3
Q

Any whole number greater than 1 that has only two factors, itself and 1; that is, a number that can be divided evenly only by 1 and itself.

A

Prime number

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4
Q

Any whole number greater than 1 that has more than two different factors.

A

Composite Number

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5
Q

A number system that uses ten different digits.

A

Decimal
Base Ten Systems

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6
Q

Includes all integers, decimals, and fractions, including any terminating or repeating decimal number, that can be represented as a ratio.

A

Rational Number

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7
Q

Cannot be written as fractions or decimals because decimal place is infinite and there is no recurring pattern.

A

Irrational Numbers

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8
Q

The set of all rational and irrational numbers.

A

Real numbers

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9
Q

A mathematical process that takes some value(s) as input(s) and produces and output.

A

Operation

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10
Q

Each quantity in addition.

A

Addends

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11
Q

The result of addition.

A

Sum

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12
Q

The quantity that is decreased by the subtrahend in subtraction.

A

Minuend

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13
Q

The minuend is decreased by this quantity in subtraction.

A

Subtrahend

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14
Q

The result of subtraction.

A

Difference

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15
Q

Indicates how many times to add the multiplicand to itself in multiplication.

A

Multiplier

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16
Q

The multiplier indicates how many times to add this quantity to itself.

17
Q

The result of multiplication

18
Q

Th quantity that tells us how many parts to divide the dividend into

19
Q

The divisor tells us how many times to divide this quantity into.

20
Q

The result of division.

21
Q

Designate which operations should be done first when there are multiple operations.

22
Q

A superscript number placed next to another number at the top right. Indicates how many times the base number is to be multiplied by itself.

23
Q

Another way of writing a fractional exponent. Uses a radical symbol.

24
Q

Any number to the power of 1 is equal to itself.

a^1 = a

A

Identity Exponent Rule

25
Any number raised to the power of 0 is equal to 1. a^0 = 1
Zero Exponent Rule
26
Add exponents to multiply powers of the same base number. a^m x a^n = a^m+n
Product Rule of Exponents
27
Subtract exponents to divide powers of the same number. a^m / a^n = a^m-n
Quotient Rule of Exponents
28
When a power is raised to a power, the exponents are multiplied. (a^m)^n = a^(m x n)
Power of a Power Rule of Exponents
29
Multiplication and division operations inside parentheses can be raised to a power. This is the same as each term being raised to that power. (a x b) ^ m = a^m x b^m (a / b) ^ m = a^m / a^b
Power of a Product/Quotient Rule of Exponents
30
A negative exponent is the same as the reciprocal of a positive exponent. a^-n = 1/a^n
Negative Exponent Rule
31
Numbers that are multiplied together to obtain a product.
Factors
32
A number that divides exactly into two or more other numbers.
Common Factor
33
The largest number that is can divide exactly into two or more numbers.
Greatest Common Factor
34
Integer increments of a given factor.
Multiples
35
Smallest number that are integer increments of a given factor.
Least Common Multiple