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33 Cards in this Set

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  • Back

Recite the multiplications tables up to 12x12.

1x1 - 12x12

Recite the perfect squares up to 15^2.

2^2 - 15^2

Recite the cubes up to 5^3.

1^3 - 5^3

What is a digit?

A number between 0-9.

What is a whole number?

A non-negative integer without a decimal or fraction (includes 0).

What is an integer?

A negative or positive whole number (includes 0).

What are some properties of 0?

•It is not prime.


•It is an even number.


•It is not positive or negative.

List the prime numbers up to 200.

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199.

A number is divisible by 3 if...

...the sum of the digits is a multiple of 3.

A number is divisible by 4 if...

...the two digits at the end form a number that is divisible by 4.

A number is divisible by 6 if...

...it is divisible by both 2 and 3.

A number is divisible by 8 if...

...the 3 digits at the end form a number divisible by 8.

A number is divisible by 9 if...

...the sum of its digits is divisible by 9.

What is the Bowtie Method of adding and subtracting fractions?

Multiply the first numerator by the second denominator, and the second numerator by the first denominator. Add or subtract those accordingly to get the resulting numerator. Multiply the denominators to get the resulting denominator.

How to multiply a fraction?

Simply multiply the numerators to get the resulting numerator, and multiply the denominators to get the resulting denominator. This rule holds up even if there are more than two fractions.



(3/5)•(4/7) = (3•4)/(5•7) = 12/35



(2/5)•(3/8)•(9/2) = (2•3•9)/(5•8•2) = 54/80

How to divide fractions?

Multiply the fraction by its reciprocal.



(2/5) % (3/8) = (2/5)•(8/3) = 16/5

A fraction multiplied by its reciprocal is always...

...1.

What is the Percent Change Formula?

(change/original) • 100

How to reduce fractions?

You can do anything to a fraction as long as you do the same thing to the numerator and the denominator.

How to calculate percentage from proportion (or vice versa)?

(part/whole) = (percentage/100)

What are factors and divisors?

When integers are multiplied, each of the multiplied integers is called a factor or divisor.

i.e. 2 x 3 x 10 = 60, so 2, 3, and 10 are factors of 60.

25 is a multiple of how many integers?

1, 5, 25, and their negatives. So 6!

Every nonzero integer has how many multiples?

Infinite!

Which number is a multiple of every integer?

0 is a multiple of every integer (after that integer is multiplied by 0), but 0 is not a factor of any integer except 0, because 0 times anything only equals 0.

What is a composite number?
An integer greater than 1 that is not a prime number.

What is a rational number?

Any number that can be expressed as the quotient or fraction of two integers, with a numerator and non-zero denominator. Since the denominator can be equal to 1, all integers are rational numbers.

How do you multiply a fraction by a number?

Multiply both the numerator and denominator by that number.




i.e. -7/5 x 4 = -7(4) / 5(4) = -28/20

What is a fractional expression?

Numbers of the form c/d, where either c or d is not an integer and d is no 0, like π/2.

How to multiply decimals?

How to divide decimals using the "slide approach"?

How to convert a decimal to a fraction?


What is a complex fraction and how do you simplify it?

A complex fraction contains addition or subtraction in either the numerator or denominator. To simplify, carry out the addition or subtraction THEN simplify.



(4+8)/(2+2) = 12/4 = 3

What is the Complex Numerator Shortcut?

If the numerator of a fraction contains addition or subtraction, the fraction can be split to simplify the arithmetic.



(27^2 + 27)/27 = 27^2/27 + 27/27 = 27 + 1 = 28