Unit 1: Order of Operations and Whole Numbers
measurement division
(also called repeated subtraction division), is a way of understanding division in which you divide an amount into groups of a given size. If you are thinking about division this way, then 12 ÷ 3 means 12 things divided evenly into groups of 3, and we wish to know how many groups we can make.
expression
A mathematical phrase that contains operations, numbers, and/or variables.
equation
A mathematical sentence that contains an equals sign.
Associative Property
Group together addends in the addition equations or factors in multiplication equations into different pairs to solve. (NBT.6)
Commutative Property
Move addends in addition equations or factors in multiplication equations into different pairs to solve.
Distributive Property
Multiply a factor that is outside a set of parentheses with each addend within the parentheses to solve.
properties of operation
Rules that help us add, subtract, multiply and divide effectively and efficiently
Exponents
Shows the number of times a number is multiplied by itself. For example, 24 = 2 × 2 × 2 × 2.
remainder
The amount left over when one number is divided by another.
Product
The answer of a multiplication problem. For example, in 2 × 3 = 6, the product is 6.
Quotient
The answer to a division problem. For example, in 20 ÷ 4 = 5, the quotient is 5. (NBT.6)
Order of operations
The correct order to evaluate a numerical expression. Operations in parentheses (), brackets [], or braces {} are completed first, and then division and multiplication of digits are completed from left to right. Finally, subtraction and addition can be completed from left to right. (OA.1)
Multiplier
The number that is being multiplied by. For example, in 2 × 3 = 6, the multiplier is 2.
Divisor
The number that is divided by. For example, in 20 ÷ 4 = 5, the divisor is 4.
Dividend
The number that is divided. For example, in 20 ÷ 4 = 5, the dividend is 20.
Multiplicand
The number that is getting multiplied. For example, in 2 × 3 = 6, the multiplicand is 3.
partial quotient
a method of dividing in which multiples of the divisor are subtracted from the dividend and then the quotients are added together
partial product
a method of multiplying in which the ones, tens, hundreds, and so on are multiplied separately and then the products are added together
Algorithm
a process or set of rules to be followed in calculations or other problem-solving operations
Partition Division
a way of understanding division in which you divide an amount into a given number of groups, also known as fair sharing