Video and Examples

Learn PEMDAS and how to apply it to integers.  $8-3\cdot~(-4)\div~2+4$

 When simplifying an expression that has more than one operation symbol, there is a special order you must follow. Parentheses Exponents Multiplication and Division (from left to right) Addition and Subtraction (from left to right) Be careful in steps 3 and 4! Multiplication does not always come before division, nor does addition always come before subtraction!  For example, in $8-3\cdot~(-4)\div~2+4$ you would multiply before dividing because it is to the left of the division. Similarly, you would subtract before adding because it is to the left of the addition. Example 1: $8-3\cdot~(-4)\div~2+4$ 8 - 3 • (-4) ÷ 2 + 4       \ / 8 - (-12) ÷ 2 + 4         \ /    8 - (-6) + 4      \ /       14 +4        \ /         18 Example 2: $-20\div~(3+7)\cdot~2$ -20 ÷ (3 + 7) • 2 \ / -20 ÷ 10 • 2 \ / -2 • 2 \ / -4

Self-Check

Question 1

Simplify.

$9-(-8)•3=$

Question 2

Simplify.

$(-8)-8(8-4)=$

$\large\frac{9-(-3)+(-9)}{(-5)+(+2)}$