Estimate Quotients © 2007 M. Tallman.

Slides:



Advertisements
Similar presentations
Division & Divisibility. a divides b if a is not zero there is a m such that a.m = b a is a factor of b b is a multiple of a a|b Division.
Advertisements

WHAT WE LEARNED ABOUT THIS WEEK BY: GIOVANNI CAPIFALI #3.
Lesson 3-5 Example Example 2 Draw a model of 15 ÷ 3. 1.What is the divisor? 3 Draw circles.
÷ 2 0 = 1 0.
HOW TO DIVIDE FRACTIONS
Relate Multiplication
Division Patterns © 2007 M. Tallman.
{ Division Beginning Concepts. DO YOU REMEMBER ANY OF THESE TERMS? ? Division Dividend QuotientDivisor Can you label a division problem correctly using.
Dividing a Decimal by a Decimal Lesson 2-5. Dividing a Decimal by a Decimal We NEVER want a decimal in the divisor. –If you have a decimal in the divisor,
Division of Decimal Fractions. STEPS 1. Set up the divisor and dividend 2. Make the divisor a whole number my moving the decimal completely to the end.
Division: “Facts and Properties”
4-8 Example 2 Divide. Multiply to make the divisor a whole number.
Example 1 Dividing Integers Same sign, so quotient is positive. 5 = a. 8 – 40 – b. 14 – 2 = 7 – Different signs, so quotient is negative. c. 9 – 36 = 4.
3-1 Estimating Fractions and Mixed Numbers A.) Estimating sums and differences of fractions One way to estimate sums/differences of fractions is to round.
Estimating Quotients.
© 2007 M. Tallman. = 6 ×318 = 6 ×318 = 3 ×618 © 2007 M. Tallman = 18 ÷63 = 6 ×318 = 3 ×6.
© 2007 M. Tallman. Find the mean of 7, 4, 5, Step 1: Add the numbers in the data set. Step 2: Divide the sum by the “number of numbers”
Estimating Products.
Whole Numbers How do we use whole numbers to solve real-life problems?
. Dividing by a Whole Number
division algorithm Before we study divisibility, we must remember the division algorithm. r dividend = (divisor ⋅ quotient) + remainder.
© 2007 M. Tallman. compatible numbers When estimating division problems, rounding will not work very well. You must use compatible numbers. Compatible.
How do we divide decimals?
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.
Multiply and Divide Decimals
MATH STEPS (ROUNDING and ESTIMATING) ROUNDING STEPS 1)Underline the numeral being rounded. 2)Circle the numeral to the right of the underlined number.
Dividing Decimals Section 5.4 The only difference is the placement of a decimal point in the quotient. If the divisor is a whole number, divide as for.
L4-3 Notes: Dividing Decimals by Whole Numbers
+ Division Objective: I can divide multi-digit whole numbers by whole numbers divisors with and without remainders.
Hosted by Mr. Arms Division Definitions 1 Digit Divisor 2 Digit DivisorPotpouri
Ch 11.5 Dividing Polynomials
Mr. Gifford’s 5th Grade Math Lesson #19
Lesson 49: Division Facts 0-5 Ms. Jamie Scordino 3 rd Grade Math.
Whole Numbers Multiplying Whole Numbers. Properties of Multiplication Commutative Property of Multiplication Multiplication Properties of 0 and 1 Associative.
2 Digit Divisor With Remainder, Divide by 10’s, Estimation
5th Grade Module 2 – Lesson 18
Dividing Decimals by Whole Numbers
1-4 Dividing Decimals There are three ways to write a division problem. divisor dividend divisor dividend ÷ divisor There are two parts to today's lesson.
ADD & SUBTRACT MULTIPLY & DIVIDE Decimals. ADD & SUBTRACT DECIMALS Rewrite (problem) Move (decimals) Solve (problem)
© 2007 M. Tallman. 130, ,000 = 70,000 The following pattern of subtraction is related to a basic math fact: = =
Warm up Objective: To divide polynomials Lesson 6-7 Polynomial Long Division.
Dividing Decimals Module 5 Lesson 4 GET READY TO WRITE NOTES.
Addition, Subtraction, Multiplication, Division by a whole number, and Division by a decimal.
EXAMPLE 3 Dividing Mixed Numbers –2 = – = – = 19 3 (– 6) 17 – 2 1 Multiply. Divide out common factor. 38 = 17 –, or 4 17.
Warm-Up Divide 1.) 560 ÷ 8 = 2.) 105 ÷ 3 =. Essential question: What are the steps to divide whole numbers? Name date period Long Division Quotient: The.
Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. Chapter 3 Decimals.
Dividing Review SWBAT use division to find quotients; use divisibility rules to predict remainders; estimate quotients; divide whole numbers in thousand.
Dividing Rational Numbers Rational Numbers ~. Dividing Rational Numbers RULES: RULES: 1. When multiplying or dividing integers with the same signs, the.
My Book of Divisibility. THE 2’s Example: 30, 42, 24, 76, 98, Must be an even number Number must end in a 0, 2, 4, 6, or 8.
Basic Math skills Lesson 6: Dividing Whole Numbers p
Multiply and Divide Fractions and Decimals. Mixed Numbers, Improper Fractions, and Reciprocals Mixed Number: A number made up of a fraction and a whole.
Decimal Divisors Honors Math – Grade 5.
5th Grade Math Vocab Operations (Terms 1-10).
6.2.5 Multiplying Decimals Dividing Decimals
Patterns and Estimating Quotients
Dividing Decimals by Whole Numbers
DIVISION OF DECIMALS A STEP BY STEP GUIDE.
Dividing Decimals by Whole Numbers
Unit 1. Day 8..
Algebra 1 Section 1.6.
Chapter 5: Divide Decimals
Decimal A number that is written in a system based on multiples of 10. Examples: ,
Division Basics The job of division is to split things into equal groups. 9 ÷ 3 = 3.
Estimate Quotients © 2007 M. Tallman.
divide dividend divisor inverse operations quotient
Patterns and Estimating Quotients
Chapter 1 Whole Numbers.
Division of Large Whole Numbers
Dividing by Decimals © 2007 M. Tallman.
Division Vocabulary Review.
Presentation transcript:

Estimate Quotients © 2007 M. Tallman

Compatible numbers are numbers that contain a basic division fact… When estimating division problems, rounding will not work very well. You must use compatible numbers. Compatible numbers are numbers that contain a basic division fact… …8,100 ÷90, 720 ÷ 8, 144,000 ÷ 120 © 2007 M. Tallman

Find the compatible numbers in these division problems. 1. 120 ÷ 4 2. 3. 21,000 ÷ 7 4. 240 ÷ 6 5. 6. 7. 320 ÷ 8 8. → 12 ÷ 4 → 36 ÷ 9 → 21 ÷ 7 → 24 ÷ 6 → 42 ÷ 7 → 35 ÷ 5 → 32 ÷ 8 → 96 ÷ 8 ) 9 3,600 7 ) 4,200 5 ) 35,000 8 ) 9,600 © 2007 M. Tallman

437 ÷ 9 45 ÷ 9 = 5 Estimating Quotients 1 1 1 - 0 = 1 1 zero in the quotient 1 - 0 = 1 1 1 45 ÷ 9 = 5 Step 1: Look at the first couple of numbers of the dividend and the first number of the divisor. Step 2: Find the closest basic division fact to these numbers. Step 3: Use the basic fact to change the dividend and divisor in to compatible numbers, and divide. © 2007 M. Tallman

508 ÷ 7 49 ÷ 7 = 7 Estimating Quotients 1 1 1 - 0 = 1 1 zero in the quotient 1 - 0 = 1 1 1 49 ÷ 7 = 7 Step 1: Look at the first couple of numbers of the dividend and the first number of the divisor. Step 2: Find the closest basic division fact to these numbers. Step 3: Use the basic fact to change the dividend and divisor in to compatible numbers, and divide. © 2007 M. Tallman

) 7 224 3 ) 7 21 Estimating Quotients 1 1 1 - 0 = 1 1 zero in the quotient 1 3 ) 7 21 1 - 0 = 1 1 Step 1: Look at the first couple of numbers of the dividend and the first number of the divisor. Step 2: Find the closest basic division fact to these numbers. Step 3: Use the basic fact to change the dividend and divisor in to compatible numbers, and divide. © 2007 M. Tallman

4,324 ÷ 6 4,2 ÷ 6 = 7 Estimating Quotients 1 2 1 2 2 - 0 = 2 2 zeros in the quotient 2 - 0 = 2 1 2 1 2 4,2 ÷ 6 = 7 Step 1: Look at the first couple of numbers of the dividend and the first number of the divisor. Step 2: Find the closest basic division fact to these numbers Step 3: Use the basic fact to change the dividend and divisor in to compatible numbers, and divide. © 2007 M. Tallman

) 4 3,105 8 ) 4 3,2 00 Estimating Quotients 1 2 1 2 2 - 0 = 2 2 zeros in the quotient 1 2 8 ) 4 3,2 00 2 - 0 = 2 1 2 Step 1: Look at the first couple of numbers of the dividend and the first number of the divisor. Step 2: Find the closest basic division fact to these numbers. Step 3: Use the basic fact to change the dividend and divisor in to compatible numbers, and divide. © 2007 M. Tallman

) 5 4,175 8 ) 5 4,0 00 Estimating Quotients 1 2 1 2 Tip: Do not count the zero in 40. 2 zeros in the quotient 1 2 8 ) 5 4,0 00 2 - 0 = 2 1 2 Step 1: Look at the first couple of numbers of the dividend and the first number of the divisor. Step 2: Find the closest basic division fact to these numbers. Step 3: Use the basic fact to change the dividend and divisor in to compatible numbers, and divide. © 2007 M. Tallman

Division Fact:_________ Estimate:____________ 48 ÷ 8 = 8 Your Turn Estimate 468 ÷ 8 Division Fact:_________ Estimate:____________ 48 ÷ 8 = 8 480 ÷ 8 = 80 © 2007 M. Tallman

Division Fact:_________ Estimate:____________ Your Turn Estimate Division Fact:_________ Estimate:____________ 5,620 ÷ 5 55 ÷ 5 = 11 5,500 ÷ 5 = 1,100 © 2007 M. Tallman

Division Fact:_________ Estimate:____________ Your Turn Estimate Division Fact:_________ Estimate:____________ 2,198 ÷ 4 20 ÷ 4 = 5 2,000 ÷ 4 = 500 © 2007 M. Tallman

Division Fact:_________ Estimate:____________ Your Turn Estimate Division Fact:_________ Estimate:____________ 358 ÷ 12 36 ÷ 12 = 3 360 ÷ 12 = 30 © 2007 M. Tallman

Division Fact:_________ Estimate:____________ Your Turn Estimate Division Fact:_________ Estimate:____________ 1,976 ÷ 9 18 ÷ 9 = 2 1,800 ÷ 9 = 200 © 2007 M. Tallman