Order Of Operations Parentheses Multiply or Divide

Slides:



Advertisements
Similar presentations
With “like” denominators: 1)add/subtract across the top. 2)Leave the bottom alone. Ex: =
Advertisements

Test Review The test will be on the following: Improper to Mixed
Fractions During this topic you will learn to:
Fractions Review ____________________________________________________.
COMPARING FRACTIONS Vocabulary  Mixed Fraction: Whole number mixed with a fraction (ex. 2 ½)  Improper Fraction: has a numerator greater than.
Fractions.  The Numerator is the number on top  The Denominator is the number on bottom  The Factors of a number are those numbers that will divide.
Multiplying Fractions with Whole Numbers Example: 3/8 of 40 “of” = multiply Method #1: Picture Method #2: Put the whole number over 1 and then simplify.
DIVIDING RATIONAL NUMBERS
Fractions Day 4.
Adding, Subtracting, Multiplying, and Dividing Fractions 3-5, 3-6, 3-7
Percents.
MFM 2P Review – Core Skills Learning Goals: I can round whole numbers and integers I can convert from a percent to a decimal I can convert a number into.
Change between Mixed #’s & Improper Fractions. Write each fraction in simplest form
OPERATIONS WITH MIXED NUMBERS. Convert the following into a mixed number 
Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. Chapter 2 Fractions.
Dividing Fractions and Mixed Numbers Objective: Learn to divide fractions and mixed numbers.
Multiplying Fractions and Mixed Numbers 3 X 1. Step 1: Convert the mixed numbers to improper fractions. 3 = 7 X 3 = = 25 1 = 5 X 1 = = 8.
Adding & Subtracting Whole Number and Fractions
Measurement Multiplying and Dividing Fractions.  We can add and subtract fractions with the same (common) denominator easily. Adding and Subtracting.
Operations with Fractions. Adding and Subtracting Fractions.
MULTIPLY and DIVIDE RATIONAL NUMBERS. MULTPILYING MIXED NUMBERS 1)Change all Mixed numbers to improper fractions 2)Simplify A) Up and Down B) Diagonally.
Improper Fractions, Mixed Numbers, and Decimal Numbers
Mixed Numbers & Improper Fractions
Fraction Operations Review Kerbacher. Simplifying Fractions To simplify a fraction: Find the largest number divides evenly into the numerator and denominator.
Chapter 4 Notes 7 th Grade Math Adding and Subtracting Fractions10/30 2. Find a common denominator 3. Add or subtract the numerators Steps 4. Keep the.
Basic Math Review Ms. Ryan Medical Math MCATC
Mixed Numbers to Improper Fractions. Lets say you have a mixed number of 1 and 5/8 You can change this into the number 13/8. For converting mixed numbers.
Mixed Numbers & Improper Fractions
Fractions A quick help for those who have forgotten how to work with them.
Fraction Division Opposite of Multiplication. The opposite number: Invert Called the reciprocal You simply flipped your fraction.
FRACTIONSFRACTIONS Definition: A fraction is a part of a whole.
Adding and Subtracting Fraction Notes Ex: 1 / / 8 1.If the denominators are the same, add or subtract the numerators only Simplify if.
Changed division sign to multiplication sign When Dividing Fractions, always remember to: FLIP SWITCH MULTIPLY Since both 10 and 12 are divisible by 2,
Multiplying and Dividing of Fractions. How to Find a Fraction of a Fraction The first thing to remember is “of” means multiply in mathematics. of = x.
Signed Rationals. What are signed rationals? Signed rationals are rational numbers with negative and positive signs. To solve signed rational problems:
Copyright©amberpasillas2010. A mixed number has a part that is a whole number and a part that is a fraction. = #1 An improper fraction is when the.
Absolute Value and turning mixed numbers to improper fractions.
Review of Fractions. Important Notes Leave all answers in “simplest form” No common factors in the numerator and denominator Use proper or improper fractions.
Multiplying Fractions When do we Multiply? X of ()() ()2 2y To multiply fractions, we simply multiply numerators, and denominators. Numerators x Numerators.
Fill In The Blank Multiplying Fractions 1. Fraction Form 2. Multiply Numerators Simplify.
Turn in your homework You need a pencil, paper, and the notes.
+ January 4 th Mixed Numbers Mixed Number- is a whole number and a proper fraction combined.
Operations with Fractions
Lesson 5: Fractions Per 3, 5: 10/5/15 Per 2, 4, 6: 10/6/15.
+ Fractions. + Part of a whole + + Numerator How many pieces The number on the top of a fraction.
Improper Fractions and Mixed Number.  An improper fraction is a fraction in which the numerator is larger than the denominator. Example: 7/3 The numerator.
Operations with Fractions. Parts of a Fraction Integer Numerator Denominator Mixed Number.
Fractions Ms. Crusenberry
OBJECTIVES 1. DEFINE and GIVE EXAMPLES of: proper fractions
Adding, Subtracting, Multiplying and Dividing Fractions
Multiplying and Dividing Fractions
Adding and Subtracting Fractions
Mixed Numbers & Improper Fractions
Mixed numbers and simplifying fractions
Equivalent Fractions A fraction shows:
Operations with Fractions
Operations with Fractions
Chapter 5-4 Multiplying Rational Numbers
Multiplying & Dividing Fractions
Adding & Subtracting Fractions
Section 1.3 Fractions.
Adding and Subtracting Rational Numbers
Fractions Mixed Numbers
Dividing Fractions and Mixed Numbers
Adding and Subtracting Fractions
Examples: 3/5 + 4/5 = 2/3 + 5/8 = 1 2/3 + 2 ¾ = 5/7 – 1/3 = 4 7/8 – 2 ¾ = 5 1/3 – 2 5/6 = 4 x 6/7 = 2/3 x 9/16 = 1 2/3 x 3 4/5 = 4/5 ÷ 6/7 =
Fractions V Mixed Numbers
Adding & Subtracting Fractions
Fractions & Mixed Numbers (Adding & Subtracting)
Presentation transcript:

Order Of Operations Parentheses Multiply or Divide Addition or Subtraction Start out using parentheses, then move on to multiplication or division, then add or subtract, and perform these actions in order.

Order of Operations (continued) 2(2+4)-10+5x2= 2(6)-10+5x2= 12-10+5x2= 12-10+10= 2+10= 12 3(5+2)+15= 3(7)+15= 21+15= 36 2(2+4)x6= 2(6)x6= 12x6= 72

Change Mixed Number to Improper Fractions To change a mixed number to an improper fraction you multiply the whole number times the denominator plus the numerator. The new number become the numerator, and placed over the denominator. 5 2/3=17/3 3 2/3=11/3 2 25/2=29/2

Add Fractions and Mixed Numbers Convert the mixed numbers to improper fractions then add them together. 2 2/3 + 3 3/5= 8/3+18/5= 26/8= 3 2/8 ¾+ 2 6/7= 3/4+ 20/7= 23/11= 2 1/11 5 5/8+ 5 3/4= 45/8+ 23/4= 68/12= 5 8/12 11 3/8

Subtracting Fractions and Mixed Numbers In order to subtract fractions, as in adding fractions, the denominators must be the same. ¼ + ¼ = 2/4 or simplified, ½ However, when denominators are not the same, they must be multiplied to the lowest common denominator, or LCD

Subtracting Fractions and Mixed Numbers ¼ - 1/5 = ? ¼ and 1/5 do not have the same denominator, so you multiply to the lowest number they both have in common. In this case, that number is 20. 5/5 X ¼ = 5/20 4/4 X 1/5 = 4/20

Subtracting Fractions and Mixed Numbers With our new numbers now having the same denominator we can subtract them 5/20 – 4/20 = 1/20 Also, if needed, you can reduce

Multiplying Fractions and Mixed Numbers To multiply fractions, the simplest way is to “cross simplify.” this means simplifying by the opposite diagonal number. Then, you simply multiply straight across. (numerator times numerator, denominator times denominator Lets say or problem is 15/21 X 2 1/3 or 7/3

Multiplying Fractions and Mixed Numbers 15/21 X 7/3 simplifies to 3/3 X 1/1 Then you simply multiply across 3X1 = 3 and 3X1 = 3 Turns out to 3/3 or 1

Dividing Fractions and Mixed Numbers To divide fractions and mixed numbers, you follow the same steps as multiplying fractions and mixed numbers, except that when you multiply, you multiply one fraction by the other’s reciprocal.

Dividing Fractions and Mixed Numbers You set it up the same as multiplying, except that you take one of the fractions, and switch the numerator and denominator. Then, you simplify, and multiply across Say our problem is 4 4/7 or 32/7 divided by 20/21

Dividing Fractions and Mixed Numbers First, you switch one of the fractions to it’s reciprocal. For this problem lets switch 20/21 32/7 X 21/20 This simplifies to 8/1 X 3/5 Turns out to 24/5 or 4 4/5

Adding, Subtracting, Multiplying, and Dividing fractions to solve problems A pitcher of lemonade contains 64 ounces of lemonade. If you have 2½ pitchers left after a cookout, how many ounces of lemonade do you have left? 2½ pitchers= 75 ounces 64 ounces=2 quarts 75 – 64 Answer: 11 ounces

Solving Problems using percents 12kg is what percentage of 32 kg? Divide the first number by the second Multiply the answer by 100 Round to the nearest unit (37.5) Add the percent sign to the end Answer: 38 %

Examples 1) 75 is what percent of 300? Answer:25% 2) 6 is what percent of 50? Answer:12% 3) 7 is what percent of 280? Answer:2.5%

Adding and Subtracting Signed Numbers 1) EX: -24-(-13) When two negatives are next to each other, you can change them into one positive. 2) -24+13 3) Take 13 out of 24 then put on the negative to the answer. Answer:11

Examples 1) -53-(-17) Answer:-36 2) 14-(-45) Answer:59 3) -8+(-3) Answer:-11

Multiplying and Dividing Signed Numbers Same signs: positive Different signs: negative

Examples Answer: -126 1)-9 14 Answer: 4 2) -32/(-8) 3) -88 (-4) 1)-9 14 Answer: 4 2) -32/(-8) 3) -88 (-4) Answer: 352