Math Basics AF 1.3

Objective - To understand some BASIC rules of mathematics Objective - To reason with diagrams.

 The SIGN goes with the TERM! BIG RULES of MATH  The SIGN goes with the TERM!  No Double Signs!

The SIGN goes with the TERM! Think of EACH TERM individually. Example: 5 + 3 ─ 7 This should NOT be thought of as 5 PLUS 3 MINUS 7 But rather as a POSITIVE 5, a POSITIVE 3, and a NEGATIVE 7

To remove double signs, use the Alien Face. The Alien Face is also used when multiplying or dividing numbers with different signs. ▬ 

Adding & Subtracting Integers Example: 15 +(– 22) –(–13) – 4 15 – 22 + 13 – 4 Step 1: Get rid of Double signs! Step 2: Circle each term. Remember: The sign goes with the term. Step 3: Put each term in the correct column. Step 4: Add each column. Step 5: Decide winning team Step 6: Determine the spread. (big number – small number) - + 22 15 4 13 26 28 Winning team: + Spread: 28 – 26 2 Answer: +2

Adding & Subtracting Integers Example: 14 – 27 + 5 – 9 Step 1: Circle each term. Remember: The sign goes with the term. Step 2: Put each term in the correct column. Step 3: Add each column. Step 4: Decide winning team Step 5: Determine the spread. (big number – small number) - + 27 14 9 5 36 19 Winning team: – Spread: 36 – 19 17 Answer: – 17

Winning team: NO WINNER A Tie? Example: 13 – 12 + 7 – 8 Step 1: Circle each term. Remember: The sign goes with the term. Step 2: Put each term in the correct column. Step 3: Add each column. Step 4: Decide winning team Step 5: Determine the spread. (big number – small number) A tie means the answer is zero! - + 12 13 8 7 20 20 Winning team: NO WINNER Spread: 20 – 20 Answer: 0

Try These –11 + 2 +(– 5) + 4 4 –(– 8) + 9 – 5 – 3 +(–16) –(+7) –(–13)

Word Problems – OH NO! The temperature at 4 pm Tuesday was 14° Fahrenheit. By 6 am Wednesday, the temperature had dropped 21°. What was the temperature?

Word Problems – OH NO! The temperature at 5 am was -5°F. At 3 pm the temperature raised 12°. What is the temperature at 3pm?

Word Problems – OH NO!

Order of Operations PEMDAS PARENTHESES EXPONENTS MULTIPLICATION or DIVISION (left to right) ADDITION or SUBTRACTION (left to right)

Try these!

Round each number to the place indicated:

Order of Operations: Place Value Chart: PARENTHESES EXPONENTS MULTIPLICATION or DIVISION (left to right) ADDITION or SUBTRACTION (left to right) Place Value Chart: