Saxon 8/7 Flashcards
Ellipsis
Three dots(…) mean that the list is infinite or goes on without and
Counting numbers
Or natural numbers
The numbers we say when we count
{1,2,3,4,5,…}
{ }
These symbols are called braces. One use of braces is to designate a set.
Whole numbers
Including zero with the set of counting numbers forms the set of whole numbers.
{0,1,2,3,4…}
The set of whole numbers does not include any numbers less than zero, between zero and one, or between any consecutive counting numbers.
The four fundamental operations of arithmetic
Addition, subtraction, multiplication, and division
Addends
The numbers in an addition problem that are added together
Sum
The answer to an addition problem
Subtrahend
The number in a subtraction problem being subtracted
Minuend
The number in a subtraction problem being subtracted from.
Minuend-subtrahend=difference
Difference
The result of a subtraction problem
Product
The result of a multiplication problem
Factor
1) The numbers in a multiplication problem that are being multiplied together
2) a whole number that divides another whole number without a remainder.
3) to write as a product of factors. We can factors the number 6 by writing it as 2 x 3.
Ways to indicate multiplication
4 x 5
4 · 5
4(5)
ab
Dividend
The number being divided
Divisor
The number being used to divide
Quotient
The result of a division problem
Ways to indicate division
Division sign ( ÷ ) Division box ( ) Division bar ( - )
Variable
Letters used to represent numbers in formulas and expressions
Evaluate
We evaluate an expression by calculating its value when the variables are assigned specific numbers
Fact family
A group of three numbers related by addition and subtraction for by multiplication and division. Four mathematical fact statements can be formed using the numbers in a fact family.
The numbers 3, 4, and 7 are a fact family they make these four facts:
3+4=7, 4+3 = 7, 7-3 = 4, 7-4 = 3
Identity property of addition
States that when zero is added to a given number, the sum is equal to the given number.
a +0 = a
Commutative property of addition and multiplication
a+b=b+a, a x b=b x a
Changing the order of addends or factors does not change the sum.
Identity property of multiplication
States that when a given number is multiplied by 1 the result equals the given number.
a x 1 = a
Inverse operations
Operations that “undo” one another. Addition and subtraction or multiplication and division.