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16 Cards in this Set

  • Front
  • Back
Changing the grouping of factors does not change their product.

Example: For all numbers a, b, and c,
a x( b x c) = (a x b) x c.
Associative Property of Multiplication
Changing the order of factors does not change their
product.
Example: For all numbers a and b, a x b = b x a.
Commutative Property of Multiplication
Numbers that are easy to work with mentally and are used in place of actual numbers to get an estimate.
Compatible Numbers
When two addends are multiplied by a factor,
the product is the same as if each addend was
multiplied by the factor and whose products were added.
Example: a x( b + c)=( a x b) + ( a x c)
Distributive Property
One number is divisible by another if the quotient
is a whole number and there is a remainder of 0.
Divisible
A number close to an exact amount. Tells about how much or about how many.
Estimate
Two or more numbers that are multiplied to give a product.
Factor
Estimation by looking at the digits in
the greatest place of each number.
Example: 3,745 would be 3,000
Front-End Estimation
The property which states that the product of any number and 1 is that number.

Example: a x 1 =1 x a = a
Identity Property of Multiplication
Rules for performing operations in order to simplify expressions. It consists of:
• parentheses
• exponents
• multiplication and division, from left to right
• addition and subtraction, from left to right.
Order of Operations
Ex.) 48 x 15 =

(40 + 8) x (10 + 5) =
40 x 10 = 400
40 x 5 = 200
8 x 10 = 80
8 x 5 = 40
Partial Products
The answer in division problem.
Quotient
The number that is left over after one whole number is divided by another.
Remainder
The property which states that the product of any number and 0 is 0.

Example: a x 0 = 0 x a = 0
Zero Property of Multiplication
The number that the dividend is divided by.

Example: 56 ÷ 7 = 8 the answer is the 7
Divisor
The number that the divisor is divided into.

Examples: 56 ÷ 7 = 8 the answer is 56
Dividend