Real Numbers and Basic Operations Flashcards

1
Q

________ are composed of rational and irrational numbers

A

Real numbers

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2
Q

The answer to a Subtraction question

A

The Difference

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3
Q

What can be expressed as 2 integers in the form of a/b (a over b)

A

Real Numbers

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4
Q

An Irrational Number is a decimal that…

A

… does NOT repeat and does NOT end

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5
Q

The answer to an Addition question

A

The Sum

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6
Q

If a is being divided by b then a is the _______ and b is the _______

A

a is the dividend and b is the divisor

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7
Q

The answer to a Multiplication question

A

The Product

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8
Q

“Counting Numbers” are…

A

Whole Numbers

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9
Q

T or F: Integers are counting numbers plus their negative counter parts

A

TRUE

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10
Q

0/a =

A

0

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11
Q

a/0 =

A

Undefined. You cannot divide a number by 0

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12
Q

The answer to a Division question

A

The Quotient

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13
Q

Commutative Property

A

The ability to add or multiply numbers in ANY order and the answer will be the same

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14
Q

a+b = b+a AND abc = cba is an example of:

A

The Commutative Property

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15
Q

The Associative Property

A

Terms in an expression of addition or multiplication can be grouped and solved for in different orders and still result in the same answer

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16
Q

(a+b) + c = a + (b+c) AND (ab) * c = a (b*c) are examples of …

A

The Associative Property

17
Q

The Distributive Property

A

The product of a sum is equal to the sum of the products.
You can distribute multiplication through an equation of addition and subtraction

18
Q

a(b + c) = ab + ac demonstrates what property?

A

The Distributive Property

19
Q

What does BEDMAS stand for?

A

Brackets, Exponents, Division and Multiplication (in the order they occur), Addition and Subtraction (in the order they occur)

20
Q

Identity Elements are…

A

Operations you can perform on a number that do NOT change the original number

21
Q

What is the Additive Identity?

A

0
Adding 0 to any number does NOT change the original number

22
Q

What is the Multiplicative Identity?

A

1
Any number multiplied by 1 remains the same

23
Q

What are Inverse Elements?

A

Operations performed with a number and an Inverse Element give us the corresponding IDENTITY ELEMENT

24
Q

What is the Additive Inverse for n?

A

-n
Adding -n to n gives us 0 (the Additive Identity)

25
Q

What is the Multiplicative Inverse for a number, n?

A

1/n
Multiplying n by 1/n gives you 1 (the Multiplicative Identity)