4.a Zero vs One, Even vs Odd Flashcards

(31 cards)

1
Q

What is an integer?

A

Number without a decimal, but can be negative or positive

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2
Q

Multiply 0 by any number is _____

A

Multiply 0 by any number is 0

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3
Q

0 divided by any other number is _____

A

0 divided by any other number is 0

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4
Q

The square root of 0 is ______

A

The square root of 0 is ZERO

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5
Q

Any number divided by 0 is ______

A

Any number divided by 0 is UNDEFINED

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6
Q

Is zero positive or negative?

A

NEITHER!

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7
Q

Which number is the only number that is equal to its opposite?

A

ZERO

0 = -0

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8
Q

Zero is a _________ of all numbers

A

Zero is a MULTIPLE of all numbers

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9
Q

Zero is the only number that is equal to all its _________

A

Zero is the only number that is equal to all its MULTIPLES

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10
Q

Any number raised to the power of 0 is ______

A

Any number raised to the power of 0 is ONE

x^0 = 1

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11
Q

Is zero odd or even?

A

0 is EVEN

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12
Q

All numbers are multiples of ______

A

ONE (and 0)

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13
Q

What is 1 raised to any power?

A

1^x = 1

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14
Q

One is the only number with exactly ______ factor

A

One is the only number with exactly ONE factor

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15
Q

What is the first prime number?

A

2

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16
Q

When n is an integer, how can an EVEN number be represented?

17
Q

When n is an integer, how can an ODD number be represented?

A

2n + 1
or
2n - 1

18
Q

The sum or difference of two even or two odd integers will always be _________

A

The sum or difference of two even or two odd integers will always be EVEN

19
Q

The sum or difference of two integers who are not both even, will always be _____

A

The sum or difference of two integers who are not both even, will always be ODD

20
Q

The product of any integer with any even number, will always be _______

A

The product of any integer with any even number, will always be EVEN

21
Q

The product of any two odd numbers, will always be _______

A

The product of any two odd numbers, will always be ODD

22
Q

If yz is odd, which of these variables must be odd?

A

y and z must be odd

odd x odd = odd

23
Q

When dividing an even number by another integer, what is the answer?

A

even number divided by odd/ even number can be EITHER odd OR even

12 / 4 = 3 (odd)
12 / 3 = 4 (even)

24
Q

What is even / even ?

A

ODD, EVEN, or NON-INTEGER

25
What is even / odd ?
EVEN, or NON-INTEGER 12/3 = 4 10/3 = 3.333
26
What is odd / odd ?
ODD, or NON-INTEGER 15/3 = 5 7/3 = 2.33
27
What is odd / even ?
ALWAYS NON-INTEGER
28
How can you test algebraic expression for resulting in odd/ even numbers?
Use 0 and 1
29
If x is even, and you want to test an algebraic equation, replace x by ___
If x is even, and you want to test an algebraic equation, replace x by 0
30
If x is odd, and you want to test an algebraic equation, replace x by ___
If x is odd, and you want to test an algebraic equation, replace x by 1
31