Elementary Mathematics

Addition: Finding the sum of two integersSubtraction: Finding the difference between two integers

Multiplication: Finding the product of two integersDivision: Finding the quotient of two integers

Uses repeated addition

Ex. 12/4Let 12/(-4)=c, then 12=-4c, and then c=-3

Used to write very small or large numbers

Examples:0.00054875=5.4875 x 10^(-4)0.0000231=2.31 x 10^(-5)

Examples:5,872,000,000,000=5.872 x 10^12413,682,000=4.13682 x 10^8

Finding different ways to make a problem with decimals easier to solve in your head.

Decimals can be turned into fractions and percentages, fractions can be converted to decimals and percentages, and percentages can be converted to decimals and fractions.

Examples:.03 = 3% (Move the decimal over two to the right).51 = 51/100 (decimal over 100)

5/10 = 1/2 = .5 (Simplify then divide 2 into 1)3/15 = 1/5 = .2 = 20% (Simplify, divide, move two to the right)

Examples:33% = .33 (move two to the left)60% = 60/100 = 3/5 (number over 100, then simplify)

The order of operations is parenthesis first, then exponents, then multiplication or division, then addition or subtraction.

There are many different methods to teach children how to add.

There are many different models to help teach children how to subtract.

There are many different methods to teach children how to multiply.

There are many different methods to teach children how to divide.

What can be added to a number or expression that will make it equal zero.

Find the additive inverse:-(3+x) = 3+xa+(-4) = -a+4-3+(-x)=3+x

Find the additive inverse:-8 = 891 = -9144 = -44

Finding out what smaller parts of the expression multiply together to equal the expression.

(a+b)(a-b) = a^2 - b^2

Finding a common factor in an expression and simplifying the expression so that the factor is multiplied by that expression. Ex. (6x+18x^2) = 6x(1+3x)

A numeration system represents numbers through symbols and properties. There are many different types of numerations systems.

These rules can help students solve if a number is divisible by 2, 3, 4, 5, 6, 8, 9, or 10 easier. These rules especially help with large numbers.

This is the greatest number that can divide evenly into both or multiple numbers.

The smallest number that is a multiple of both or multiple numbers. A multiple is a number that can be divided evenly by another number.