Graphing Rules and ordered pairs

Fraction and Decimal Math

Fraction math• Parts of a fractionWhole number-

the larger number at the front

Numerator- The top number

Denominator- The bottom number

How much pizza in total?

Fraction math• Adding and

subtracting fractions1. Like denominators --

Just add or subtract the numerators. Place the answer over the common denominator

2. Unlike denominators -You must 1st use multiplication to make one denominator look like the other one. You then follow the step one strategy

3 x2 6 now put back in8 x2 16 and subtract=

• An improper fraction is a fraction where the numerator (the top number) is greater than or equal to the denominator (the bottom number). In other words, it is top-heavy. This needs to be made into a mixed numeral

Fraction math

Example: 5/3 (five thirds) and 9/8 (nine eighths) are improper fractions

Fraction mathConverting Improper Fractions to Mixed numeral

• To convert an improper fraction to a mixed fraction, follow these steps:

•* Divide the numerator by the denominator.• * Write down the whole number answer• * Write down any remainder above the denominator.

•1ST WAY•Example: Convert 7/4 to a mixed fraction.•Divide: 7 ÷ 4 = 1with a remainder of 3•Write down the 1 as a whole numberthen write down the remainder (3) as the numerator above the denominator (4),• answer 1

34

2ND WAY

Fraction math• Converting Mixed numerals to Improper Fractions

• To convert a mixed fraction to an improper fraction, follow these steps:

•* Multiply the whole number part by the fraction's denominator.• * Add that to the numerator• * Then write the result on top of the denominator.

•Example: Convert 3 to an improper fraction.•Multiply the whole number by the denominator: 3 × 5 = 15•Add the numerator to that: 15 + 2 = 17•Write that down above the denominator, like this:17

5

25

Adding or subtracting mixed

numerals• Adding mixed numerals Check to see if the denominators are the

same, if not find a common denominator Add whole numbers to whole numbers

and fractions to fractions Reduce the fraction Place together for the answer• Subtracting mixed numerals Check to see if the denominators are the

same, if not find a common denominator A) Subtract whole numbers to whole

numbers and fractions to fractions B) You may need to convert to improper

fractions if your 2nd fraction is lower then the first, then subtract

Reduce the fraction Place together for the answer

Converting to an improper fraction

Adding and Subtracting

decimals• Rules• - always align your decimal places• - Take into account significant digits• -Add or subtract with regular rules

( in other words borrow and carry)Eg. 5.6 + 8.01 5.60

+8.01

13.61

Multiplication and Division of decimals

• Multiplication (roving decimal-moving) multiply as if the decimal is not there. When you get your answer, you count the decimal places in the two numbers being multiplied and move that many spaces in your answer

Division (the Floater) -The decimal floats up to the top before you even divide.

• Multiplication• 2.31 = 231

x 6.1 x 61• 231• 13860

» 14091 =once we move the decimal 14.091

Division with decimals

10) 3.21 10) 3 21 - 0 32 -30 21 -20 10 -10 0

0.321

Ans.= 0. 321

Calculating Percent of an object

• You simply• 1) Convert %

to a decimal• 2) multiply by

the amount of money

30 % of $6.99

6.99 X .30 total of 4 decimal spaces 0002097020970 move the decimal 4 spaces -round if necessary to the nearest pennyANS.= $2.097 Rounded to the nearest penny =$ 2.10

Calculating % off• You use the total price and multiply by it’s

percentage ( as a decimal)

$30.21 with 10% off

30.21X 0.13021- move the

decimal 3 places

Ans.= $3.02

We can then calculate the new price by taking this answer and subtracting it from the 1st amount

$30.21

-______

Percentage and pie graphs

• We can use ratios and equivalent ratios to solve pie graphs with totals over 100

Imagine Norman asked 800 people what their their favourate movie. How many liked each type?