Transcript Operations ppt

Operations and Integers
Mrs. Bryand
Fraction Fun
Were here to show you the rules!
Adding
Fractions
Subtracting
Fractions
Multiplying
Fractions
Dividing
Fractions
Multiplying Fractions
Multiplying fractions is easy
Straight Across!

Multiply the following:
Try some.
1 5
 
3 8
2 4
 
3 5
5 5
 
8 8
4 2
 
9 3
Answers
1 5
5
 
3 8 24
2 4
8
 
3 5 15
5 5 25
 
8 8 64
4 2
8
 
9 3 27
Dividing Fractions
Dividing fractions requires one
more step
Keep It, Change It, Flip It
Called the reciprocal
Examples:


5 ÷ 1
8
2
1 ÷ 3
4
Adding Fractions
Adding fractions requires a
common denominator
Examples:
1 + 2
5
3
2½
+
¼
Subtracting Fractions
Subtracting fractions requires a
common denominator
Examples:
2 – 1/5
¼ - 2/3
To add or subtract with decimals you
LINE up the decimals!
Ex: 2.345 + 17.4
Ex: 62.34 - 5
To multiply or divide with decimals you
place the decimal in the answer based
on the number of digits behind the
decimal in each term. The decimals in
the problem do NOT have to line up.
Ex: 1.234 x 56.7

Ex: 4.2 ÷ 3
Interesting Integers!
Definition

Positive number – a number
greater than zero.
0 1 2 3 4 5 6
Definition

Negative number – a number
less than zero.
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Definition

Integers – Integers are all the
whole numbers and all of their
opposites on the negative
number line including zero.
7
opposite
-7
Definition

Absolute Value – The size of a
number with or without the
negative sign.
The absolute value of
9 or of –9 is 9.
Negative Numbers Are Used to
Measure Temperature
Negative Numbers Are Used to
Measure Under Sea Level
30
20
10
0
-10
-20
-30
-40
-50
Negative Numbers Are Used to
Show Debt
Let’s say your parents bought a car but
had to get a loan from the bank for $5,000.
When counting all their money they add
in -$5.000 to show they still owe the bank.
Hint

If you don’t see a negative
or positive sign in front of a
number it is positive.
+9
Integer Rules

Rule #1 – If the signs are the same,
Add and Keep the sign
9 + 5 = 14
-9 + -5 = -14
Solve the Problems
-3 + -5 = -8
11
4 + 7 =
7
 (+3) + (+4) =
 -6 + -7 = -13
 5 + 9 = 14
 -9 + -9 = -18

Integer Rules

Rule #2 – If the signs are different…
“Opposites Subtract” and keep the
sign of the bigger number!
-9 + +5 =
9 - 5 = 4 Answer = - 4
Larger abs. value
Solve These Problems
3 + -5 = 5 – 3 = 2
 -4 + 7 = 7 – 4 = 3
 (+3) + (-4) = 4 – 3
 -6 + 7 = 7 – 6 = 1
 5 + -9 = 9 – 5 = 4
 -9 + 9 = 9 – 9 = 0

-2
3
=1
1
-4
0
-1
Multiplying or Dividing Integers
If the signs are the same the answer is +
If the signs are different the answer is –
Examples:
(24)(3)
(-108)(-4)
(24)(-3)
(-108)(4)
Aren’t integers
interesting?