Integers & Absolute Value Ed

Integers & Absolute Value

Bellwork •

Identify the Property

3. 4. 5. 6. 7.

6+1=1+6 9+0=9 4(6 + 2) = 4(6) + 4(2) 5∙1=5 3 ∙ (4 ∙ 5) = (3 ∙ 4) ∙ 5

Objective • Students will graph numbers on a number line and find absolute value

Vocabulary • Negative Number – A number less than zero • Integers – the set of numbers that includes zero and all positive and negative non-decimal, non-fraction numbers.

• Absolute Value – The distance a number is from zero on the number line. • Note: Absolute value can never be negative! When we want to find the absolute value of a number, We write two vertical lines around the number. . 0 m ? o o r r f e y z a m w o a r f s t e i c s a i 5 is 5 sp How far

-8

=8

5

=5

Writing Integers When is a negative number used in real life?

Writing Integers •

The words like more, greater, higher, above, etc… can be represented with a positive sign (+) Example 3. 3 inches of rain above normal can be expressed as +3 4. A profit of $750.00 can be expressed as + $750

Graphing on a Number line

• Integers can be graphed on a number line. To do so…simply locate the number on the number line and put a dot.

• The dot represents the coordinate of that number on the number line

Evaluating Expressions • You can evaluate expressions with absolute value • Treat the Absolute Value sticks like parantheses, and do any operations in them first. Example |5| + | -6| 5 + 6 = 11

Evaluating Expressions •

If the expression has an absolute variable use the substitution method 1. Write the expression 2. Substitute 3. Do the math

Example 8 + |n| where n = -12 8 + | -12| 8 + 12 = 20

• 2. 3. 4. 5.

In your notebook write and evaluate the following: |14| |-9| + |3| |-8| - | -2| 4|a| + b where a = -5 and b = 3