expanded form using exponents
A number written in expanded form with the place values written in exponential form.
A method of estimation using the first digits of each addend that have the same place value.
front-end estimation with adjusting
A method of front-end estimation that adjusts the result based on the remaining digits of each addend.
An estimation method where numbers that are approximately equal are treated as if they were equal.
order of operations
A set of rules mathematicians use to determine the order in which operations are performed.
The properties that state the order of the addends or factors does not affect the sum of the products.
Properties that state the way in which addends or factors are grouped does not affect the sum or product.
The properties that state the sum of any number and zero is that number and the product of any number and one is that number.
Multiplying a sum by a number produces the same result as multiplying each addend by the number and adding the products.
Choosing numbers close to the numbers in a problem, and then adjusting the answer to compensate for the numbers chosen.
Adding the same number to two numbers in a subtraction problem does not affect the difference.
To find the number that an algebraic expression names by replacing a variable with a given number.
properties of equality
Properties that state performing the same operation to both sides of an equation keeps the equation balanced.
Operations that "undo" each other, such as addition and subtraction, or multiplication and division (except multiplication by zero).