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Published byMartha Goodman Modified over 10 years ago
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How would you divide 1,315 ÷ 5?
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In this lesson you will learn how to divide by using expanded notation.
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Let’s Review Challenging problems can be broken into smaller parts 20 x 13 20 = 2 x 10 I know that 20 is 2 times 10 I can multiply 13 x 2 and get 26 Then I can multiply 26 x 10 and get 260 26 x 10 = 260 13 x 2 = 26 20 x 13 = 260
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Let’s Review Expanded notation 2,615= 2,000 + 600 + 10 + 5
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Core Lesson 1,315 ÷5 Smart rounding ≈ 1,500 ÷ 5 Smart estimate less than 300 1,500 divides easily by 5
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Let’s Review Core Lesson 1,315 ÷ 5 This makes sense since our smart estimate was less than 300 10 ÷ 5= 2 100 ÷ 5= 20 30 ÷ 5 = 6 300 ÷ 5 = 60 0 263 1,315 ÷ 5 = 263 DividendDivisorQuotient 1000 2 10 1 60 x 5 = 1,315 1,315 ÷5 300 5 200 1,000 ÷ 5= 200 10 ÷ 5 = 2 +5 + 10 +300 = 1,000 5 ÷ 5 = 1
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Let’s Review Core Lesson There are 1,520 pencils for 10 students. How many pencils does each student get? Smart rounding ≈ 1,500 ÷ 10 Smart estimate ≈ 150 1,500 divides easily by 10
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Let’s Review Core Lesson 1,520 ÷ 10 This makes sense since our smart estimate was 150 10 ÷ 10= 1 100 ÷ 10= 10 50 ÷ 1 0 = 5 500 ÷ 10 = 50 0 152 1,520 ÷ 10 = 152 DividendDivisorQuotient 1,000 2 20 50 x 10 = 1,520 1,520 ÷10 500 100 1,000 ÷ 10= 100 20 ÷ 10 = 2 +0 + 20 +500 = 1,000
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In this lesson you have learned how to divide by using expanded notation.
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Let’s Review Guided Practice What is 1,250 ÷ 5? DividendDivisorQuotient
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Let’s Review Extension Activities Use expanded notation to show the division of 1,845 ÷ 5. Make a chart to show your work. Sidney has 2,125 paper plates to put in 25 boxes. She estimated that she would put 100 plates in each box. Using expanded notation and a chart, show whether or not this is a good estimate.
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Let’s Review Quick Quiz Which of the following shows the division of 3510 ÷ 5 by using expanded notation? 0 DividendDivisorQuotient 3000÷ 10300 500÷ 5100 10÷ 101 5÷ 51 3,510 +5+5 + 10 +500 = 3000 DividendDivisorQuotient 3000÷ 5600 500÷ 5100 10÷ 52 5 1 DividendDivisorQuotient 3000÷ 1030 500÷ 510 ÷ 52 5 1 A B C
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Let’s Review Quick Quiz Sandra needs to store 2,125 paper clips seeds. Only 25 fit in each box. Which chart uses expanded notation to show how many boxes she will need? 0 Dividen d Diviso r Quotien t 2,000÷ 10200 100÷ 25 4 20÷ 10 1 5÷ 25 4 2,1 2 5 +5+5 + 20 +100 = 2,000 Dividen d Diviso r Quotien t 2,000÷ 2580 100÷ 25 4 20÷ 252 5 5 Dividen d Diviso r Quotien t 2,000÷ 2580 100÷ 25 4 20÷ 250 5 (+20)÷ 51 A B C
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