Fundamentals Of Math Flashcards

(45 cards)

1
Q

Value

A

Another word for ‘number’

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2
Q

Counting Numbers

A

Stereotypical Numbers that you count separate things with.

1,2,3, etc

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3
Q

Digits

A

(0,1,2,3,4,5,6,7,8,9) - The ten symbols.

412 = 3 digits

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4
Q

Place Value

A

How much a digit in a specific position is worth.

412

2 - Units Digits
1 - Tens
4 - Hundreths

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5
Q

Negative Counting Numbers

A

Numbers left of the zero line

Etc, -3, -2, -1

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6
Q

35 - 52 = ?

A

Convert to Big minus Small

52 - 35 = -17

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7
Q

Positive Numbers

A

Numbers to the right of ‘0’

Not Including Zero

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8
Q

Negative Numbers

A

Numbers to the left of ‘0’

Not Including Zero

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9
Q

Inequalities

A

Statements that involve “bigger than” (>) or “smaller than” (

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10
Q

Product

A

Result of multiplying two numbers.

12 is the product of 4 and 3

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11
Q

Factors

A

A number of quantity that when multiplied with another produces a given number.

4 and 3 are factors of 12

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12
Q

Zero and Division

A

0 divided by 13 = 0

13 divided by 0 = undefined

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13
Q

Distribution

A

4 x (3 + 2) = (4x3) + (4x2) = 12+ 8 = 20

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14
Q

Common Factor

A
4 x 3 + 4 x 2 = ?
4 x (3 + 2) = 20
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15
Q

Division and Positives vs Negatives

A

+ / + = +
+ / - = -
- / + = -
- / - = +

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16
Q

Adding, Subtracting, Multiplying Integers

A

Always results in an Integer

Int + Int = Int
Int - Int = Int
Int x Int = Int

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17
Q

Dividing Integers

A

Int / Int = Sometimes Integer, Sometimes Not

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18
Q

Numerator

A

Number above the Fraction Line

7 / 5 =

7 is the numerator

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19
Q

Denominator

A

Number below the fraction line

7 / 4 =

4 is the denominator

20
Q

Fraction Line

A

The ‘/’ in division.

21
Q

Decimal Point

A

Used to extend the place value to the right for decimals. Each place to the right of the decimal point is worth a tenth (1/10), a hundredth (1/100), etc.

  1. 5 = 3 + 5/10
  2. 25 = 1 + 2/10 + 5/100
22
Q

Integer

A

A number with no fraction or decimal part.

23
Q

3.5

A
Integer part (3)
Fractional part or decimal part (0.5)
24
Q

Rewrite 2 / 7 as a product

25
``` 3 / 15 Divisible Multiple Factor Goes Into Divides ```
``` 15 is divisible by 3 15 is a multiple of 3 3 is a factor 15 3 goes into 15 3 divides 15 ```
26
Even integers
Even integers are divisible by 2 | 0, 2, 4, 6, 8 as units digit
27
Odd integers
Not divisible by 2 | 1, 3, 5, 7, 9
28
0 even or odd?
0 is even because it is divisible by 2 | 0 / 2 = 0
29
5^2 - defined
5 is the base | 2 is the exponent
30
Perfect Square
The square of an integer. 25 is a perfect square because 25 = 5^2 = int^2
31
Perfect Cube
A perfect cube is the cube of an integer. 64 = 4^3 = int^3
32
Roots
- Roots undo exponents. - Square root of a perfect square is an integer, because a perfect square is an integer squared. (sqt36 = Int because 36 = int^2) - Square root of any non-perfect square is unending decimal that never repeats.
33
Cube root
CubeRoot(8) = 2 because 2^3 = 8
34
Variable
An unknown number. (Aka unknown)
35
Coefficient
3x 3 is the coefficient
36
Expression
Anything that ultimately represents a number somehow. (Recipe) x + y 3xz - y^2
37
Term
In an expression involves no addition or subtraction. (Typically) Expression :: Terms :: # of Terms x + y :: x, y :: Two 3xz - y^2 :: 3xz, y^2 :: Two
38
Equation
Sets one expression = to another
39
Order of Operations
PE(MD)(AS)
40
sqt(2) * sqt(2)x
2x
41
An integer is divisible by:
2 if the integer is even 3 if the sum of the integer's digits is a multiple of 3 5 if the integer ends in 0 or 5 9 if the sum of the integers digits is multiple of 9 10 if the integer ends in 0
42
Factor Pair
A factor pair of 60 is a pair of integers that multiples together to 60 15 x 4 = 60 so 15, 4
43
Primes Less than 20
2, 3, 5, 7, 11, 13, 17, 19 * 2 is the only even prime number
44
All prime number between 20-50
23, 29, 31, 37, 41, 43, 47
45
Prime Factorization
Numbers that Multiplied add up to Product The base numbers are divisors of the Number If d has e and f as prime factors, d is also divisible by e*f. (90 is divisible by 5 and by 3, so 90 is also divisible by 15)