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copyright©amberpasillas2010 DECIMALS Understanding Division and Dividing With Decimals
copyright©amberpasillas2010 Remove all other thoughts from your mind. Pay close attention. Try all the examples. Ignore all other distractions. For Learning To Happen:
copyright©amberpasillas2010 This flat represents 1 whole. or 100 squares. This rod represents 1/10 or 10 squares. This block represents 1/100 or 1 square. Understanding Division
copyright©amberpasillas whole tenth 1 hundredth Understanding Division
copyright©amberpasillas2010 How many rods fit into a flat? Flat10 Understanding Division
copyright©amberpasillas2010 How many blocks fit into a flat? 100 Flat Understanding Division
copyright©amberpasillas2010 How many blocks fit into a rod? rod 10 Understanding Division
copyright©amberpasillas2010 What does 36 ÷ 4 really mean? How many 4’s does it take to make 36. Or how many 4’s fit into 36? Understanding Division 9
copyright©amberpasillas2010 What does 50 ÷ 5 really mean? How many 5’s does it take to make 50. Or how many 5’s fit into 50? Understanding Division 10
copyright©amberpasillas2010 What does 1.2 ÷ 0.1 mean? How many one tenths does it take to make 1 whole and 2 tenths ? Understanding Division
copyright©amberpasillas2010 What does 1.2 ÷ 0.1 mean? How many 0.1’s fit to make 1.2? 1011 The answer is 12 How many rods are there? Understanding Division How many one tenths fit to make 1.2?
copyright©amberpasillas2010 What does 1.2 ÷ 0.1 mean? LOOK FOR A PATTERN: 1.2 ÷ 0.1 If we multiply both sides by 10 We get the problem 1 2 ÷ 0 1 Understanding Division BOTH DIVISION PROBLEMS GIVE YOU THE SAME ANSWER!
copyright©amberpasillas2010 What does 1.02 ÷ 0.1 mean? How many one tenths does it take to make 1 whole and 2 hundreds ? Understanding Division
copyright©amberpasillas2010 What does 1.02 ÷ 0.1 mean? How many 0.1’s fit to make 1.02? The answer is 10.2 It takes ten full rods and two-tenths of another 10.1 How many rods fit into 1.02? Understanding Division How many one tenths fit to make 1.02?
copyright©amberpasillas2010 What does 1.02 ÷ 0.01 mean? How many one hundredths does it take to make 1 whole and 2 hundreds ? Understanding Division
copyright©amberpasillas2010 What does 1.02 ÷ 0.01 mean? How many 0.01’s fit to make 1.02? The answer is How many blocks are there? Understanding Division How many one hundredths fit to make 1.02?
copyright©amberpasillas2010 What does 1.02 ÷ 0.01 mean? Notice the answer is the SAME for both problems! LOOK FOR A PATTERN: 1.02 ÷ 0.01 If we multiply both sides by 100 Then we get the problem 102 ÷ 01 Understanding Division x x = 102 So to make decimal problems easier multiply your decimals by powers of 10 to work with whole numbers instead of decimals.
copyright©amberpasillas 2 = 12 There are many ways to write a division problem. There are two symbols , / 24 / 2 = 12 Dividing With Decimals
copyright©amberpasillas2010 There are 2 types of division problems involving decimal points: 1.) NO decimal in the divisor 2.) YES Decimal in the divisor Divisor Dividend Divide 0.32 8 Divide 0.32 0.8 Dividing With Decimals
copyright©amberpasillas2010 TRICK FOR LONG DIVISION D ead M onkeys S mell B ad ULTIPLYULTIPLY IVIDEIVIDE UBTRACTUBTRACT RINGDOWNRINGDOWN D affodils M ake S pring B eautiful D ad M om S ister B rother Dividing With Decimals
copyright©amberpasillas2010 Divide 0.27 3 = 0.09 Dividing With Decimals
copyright©amberpasillas2010 Divide 0.27 Divisor Dividend Step 2: Move the decimal point in the dividend straight up into the quotient Step 3: Divide as usual Step 1: Write the problem in the long division format TRICK: Dead Monkeys Smell Bad ! Dividing With Decimals
copyright©amberpasillas2010 Divide 0.14 2 = 0.07 Dividing With Decimals
copyright©amberpasillas2010 LOOK FOR A PATTERN When dividing a decimal by a decimal, multiply both numbers by a power of 10 so you can divide by a whole number. To decide which power of 10 to multiply by, look at the denominator. The number of decimal places represents the number of zeros after the 1 in the power of = = decimal place1 zero 10 Dividing With Decimals
copyright©amberpasillas2010 Divide ÷ has two decimal places so multiply both numbers by 100 to make the divisor a whole number ) ) Then divide as usual. 1 Dividing With Decimals
copyright©amberpasillas2010 Dividend Divisor Divide 0.75 0.15 Step 2: Move the decimal point in the divisor to the far right of the divisor Step 5: Divide as usual Step 1: Write the problem in the traditional long division Step 3: Move the decimal point the SAME number of places in the dividend Step 4: Move the decimal point in the dividend straight up into the quotient.. Dividing With Decimals
copyright©amberpasillas2010 Divide 0.45 ÷ has two decimal places so multiply both numbers by 100 to make the divisor a whole number ) ) 45 Then divide as usual. 1 – Dividing With Decimals 2 0 0
copyright©amberpasillas2010 THE END!!! That’s All Folks! Take out your Study Guide!
copyright©amberpasillas2010 NO decimal point in the divisor. Divide 0.27 #8 Divisor Dividend Step 2: Move the decimal point in the dividend straight up. Step 3: Divide as usual Step 1: Write the problem as long division. TRICK: Dead Monkeys Smell Bad !
copyright©amberpasillas2010 Divide Decimals Step 2: Make the divisor a whole number by moving the decimal point to the far right Step 5: Divide Step 1: Write as long division Divide 0.42 Step 3: Inside the dividend move the decimal point the SAME NUMBER of places Step 4: Move the decimal point from the dividend straight up.... #9 Dividend Divisor Yes, decimal point in the divisor.
Copyright©amberpasillas2010. For Learning to Happen! Take out a piece of paper. Take out something to write with. Try all of the examples. Ignore all.
Decimals 10ths and 100ths. Look at my square. It is divided into 10 rows. Dividing my square into 10 rows makes tenths. How many tenths are highlighted?
Patterns with tenths, hundredths, and thousandths SWBAT divide whole numbers and decimals by 0.1, 0.01, and 0.
Decimal Division You must learn the rules. Dividing a decimal by a whole number 1.2 ÷ 2 Divisor = 2 Dividend = 1.2 Step 1: move the decimal in the dividend.
Copyright©amberpasillas2010 Least Common Multiple LCM 2 Methods.
Copyright©amberpasillas2010 Calculator Needed Today! For today’s lesson get a calculator!
The Number System Dividing Decimals 1 © 2013 Meredith S. Moody.
1-1 Decimal place-value chart HundredsThousandsTensOnes Hundredths Tenths Ten Thousandths Thousandths Hundred Thousandths 1, ,000.
Decimal Place Value: Decimal points are read as the word “and” Place values to the right of the decimal point represent part of a whole Read the numbers.
Dividing by Whole Numbers Lesson 3-8. In long division, we use both multiplication and division.
3-6 Dividing by Decimals. 3-6 Dividing by Decimals Essential Question: How do operations with decimals compare to operations with whole numbers?
Mr. Coon’s Math Class. The answer to a multiplication problem. 6 X 6 = 36.
Dividing Decimals 5.NBT.B.7. ÷2= What decimal does this represent? How many hundredths are filled in?Eighty …… fourThis represents 84 hundredths.Now,
Dividing Decimals. Important Terminology Divisor-the number you are dividing Dividend-the number you are dividing by.
Decimals. 1. Demonstrate skills in using place value and mental math. 2. Perform calculations involving addition and subtraction of decimals. 3. Perform.
Copyright©amberpasillas2010. Parts of a Fraction 3 4 = the number of parts = the total number of parts that equal a whole copyright©amberpasillas2010.
Dividing Decimals by Whole Numbers. Today we will… 1) Divide a decimal by a whole number. 2) Review rounding a decimal to the nearest tenth.
DECIMAL OPERATIONS Quick Guide to Adding, Subtracting, Multiplying, and Dividing Decimals.
Decimal Division To divide a decimal by a whole number move the decimal point straight up and then divide as usual.
1 Business Math Chapter 3: Decimals. Cleaves/Hobbs: Business Math, 7e Copyright 2005 by Pearson Education, Inc. Upper Saddle River, NJ All Rights.
Fraction IX Least Common Multiple Least Common Denominator By Monica Yuskaitis.
The Steps… 1.Divide2. Multiply 3. Subtract4. Bring Down And an easy way to remember them… D ad M om S ister B rother.
Lesson 4-8 Example Example 2 Divide. Multiply to make the divisor a whole number. 1.To eliminate the decimal in the divisor, multiply the divisor.
OPERATIONS WITH DECIMALS. Using Base Ten Blocks to Multiply Decimals Flat = one (1) Long = one tenth (0.1) rod = one hundredth (0.01)
Dividing Decimals “Swingin’ Monkeys” Swinging Monkeys! Follow these steps and you will be great at dividing decimals! Remember: Whatever the OUTSIDE.
Decimal Division. To divide a decimal by a whole number move the decimal point straight up and then divide as usual.
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1 Lesson Dividing with Integers. 2 Lesson Dividing with Integers California Standard: Number Sense 2.3 Solve addition, subtraction, multiplication,
Copyright © Cengage Learning. All rights reserved. Functions 1 Basic Concepts.
Adding Decimal Numbers Keep decimal points in line Line up whole numbers carefully Fill up spaces with zeros
1 Copyright © 2013 Elsevier Inc. All rights reserved. Appendix 01.
Rules for Decimals Addition Subtraction Multiplication Division.
3.5 Dividing Decimals 1 To divide by a whole number (i.e., the divisor is a whole number) Step 1. Rewrite the problem in long division form. Step 2. Place.
EXAMPLE 1 Writing Divisors as Whole Numbers Rewrite the division problem so that the divisor is a whole number.
Math 8/30/2010-9/3/2010 Understand place value from hundredths to one million Model and explain multiplication and division of decimals Multiply and divide.
EXAMPLE 2 Subtracting Whole Numbers To find the difference of and, you line up the numbers on the ones’ place. Next you subtract the ones, then the tens,
Operations with Decimals. Adding and Subtracting Decimals.
Pharmacology I Math Review. Fractions – add or subtract Convert to equivalent fraction with like denominators Perform math on numerators Example ½ + 1/8.
Copyright©amberpasillas2010 DECIMALS Rounding Decimals Review and Multiplying Decimals.
Using Exponents to Write Large Numbers By Monica Yuskaitis.
By: Rashadd Jordan. Common Operation Words Place Value ? Answer Hundredths Ten- Thousandths Thousandths Tenths.
E.g Division of Decimals Rule: 1. Make the DENOMINATOR a whole number by multiplying by 10, 100 or 1, Multiply the.
Multiplying binomials You will have 20 seconds to answer each of the following multiplication problems. If you get hung up, go to the next problem when.
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Objectives: Understand that algebraic operations follow the same rules as arithmetic operations. Solve simple equations Transform information from words.
Fractions, Decimals, and Percents Parts of the whole.
We need a common denominator to add these fractions.
Copyright©amberpasillas2010 DECIMALS Decimal Place Value and Rounding Decimals.
Copyright © 2010 Pearson Education, Inc. All rights reserved. R.1 – Slide 1.
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