Math Vocabulary Flashcards
What are Integers?
0, ±1, ±2, ±3, ±4, …
What are Whole Numbers?
0,1,2,3,4,….
What does “±3” mean?
Both +3 and -3
What are Positive Integers?
Integers that are greater than 0
What are Negative Integers?
Integers that are less than 0
What are Even Integers?
0, ±2, ±4, ±6, …
What are Odd Integers?
±1, ±3, ±5, ±7, …
C > D
What does this mean?
C is greater than D
C < D
What does this mean?
C is less than D
A ≤ B
What does this mean?
A is less than or equal to B
A ≥ B
What does this mean?
A is greater than or equal to B
Graph all integers between -4 and 5
-3, -2, -1, 0, 1, 2, 3, 4
Between does not include the endpoints of -4 and 5
Graph all the multiples of 5 between 20 and 40 inclusively
20, 25, 30, 35, 40
“Inclusively” means to include the endpoints
The sum of two even integers is…
…even
The sum of two odd integers is…
…even
The sum of an even integer and an odd integer is…
…odd
The product of two even integers is…
…even
The product of two odd integers is…
…odd
The product of an even integer and an odd integer is…
…even
If n is even, n² is…
…even
If n is odd, then n² is…
…odd
If n² is even and n is an integer then n is…
…even
If n² is odd and n is an integer, then n is…
…odd
What is a Product?
Refers to the answer in multiplication
Quotent
Refers to the answer in division
Sum
Refers to the answer in addition
Difference
Refers to the answer in subtraction
Multiple
The product of any two whole numbers
Factors
Divisors
A number that evenly divides into another number.
Prime
A positive integer with exactly two distinct factors: the number and 1
First 8 Prime Numbers
2, 3, 5, 7, 11, 13, 17, 19
Composite
Numbers with more than 2 factors
Write 28 as the product of prime factors
2 x 2 x 7
If a number is divisible by 2 if…
…it ends in an even number
A number is divisible by 3 if…
…the sum of its digits is divisible by 3
A number is divisible by 9 if…
..the sum of its digits is divisible by 9
A number is divisible by 4 if…
…its last two digits are divisible by 4
A number is divisible by 5 if..
…its last digit is 0 or 5
A number is divisible by 6 if…
…it ends in an even number
…the sum of its digits is divisible by 3 or 9
A number is divisible by 7 if…
There is no rule for this
A number is divisible by 10 if…
…it ends in 0
A number is divisible by 11 if…
…the difference between the sum of its even-place digits and the sum of its odd place digits is a multiple of 11.
Example: 928,193,926 9 + 8 + 9 + 9 + 6 = 41 2 + 1 + 3 + 2 = 8 41 - 8 = 33
What are all the factors of 28?
1, 2, 4, 7, 14, 28
When multiplying numbers, if there are an odd number of negative numbers then…
…the answer will be negative
When multiplying numbers, if there are an even number of negative numbers then…
…the answer will be positive
Mean
The average
Add all number then divide by how many numbers you just added
Median
The middle number
Line up all the numbers in order and pick the middle one
Mode
Most common
The number that occurred with the highest frequency
Bimodal
A number set with two equally occurring numbers
Range
The highest number minus the lowest number
When adding and subtracting with decimals, always…
…line up the decimal points.
When multiplying with decimals…
…count the number of decimal places and add them. This will be the number of decimal places for the product.
When dividing by decimals…
…move the decimal point in the divisor and the dividend (the number being divided into) by the same number of points so that the divisor loses its decimals
When reading a number with a decimal…
Read the whole number, say the word “and”, then the decimal portion as an ordinal number
Numerator
The top part of the fraction
Denominator
The bottom part of the fraction
If the bottom number of two fractions are the same but the top number differs then…
…the fraction with the bigger top number is the largest
If both the top and bottom numbers of two fractions differ, then…
… find the lowest common denominator (LCD)
Rational Number
Any integer divided by an integers where the solution does not equal zero
An repeating of terminating decimal
A fraction is less that 1/2 if…
…the bottom number is more than twice the top
To double a fraction…
Double the top or halve the bottom
Adding the same number to the top and bottom of a fraction…
…brings it closer to 1
Adding/Subtracting Fractions
Find the lowest common denominator and add the top numbers
Multiplying Fractions
Multiply the numerators with each other and the denominators with each other
You can reduce diagonally or vertically as you go to make the numbers smaller
50/15 x 27/8 = = 10/3 x 27/8 = 5/3 x 27/4 = 5/1 x 9/4 = 45/4 = 11 1/4
Reciprocal
Inverting a fraction (turning it upside down)
2/3 => 3/2
5 => 1/5
Dividing Fractions
Invert the second fraction and multiply