Lesson 1.3. One Way Use compatible numbers. Estimate Sums Essential Question How can you use compatible numbers and rounding to estimate sums?
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1 Name Estimate Sums Essential Question How can you use compatible numbers and rounding to estimate sums? Lesson 1.3 Number and Operations in Base Ten 3.NBT.A.1 Also 3.NBT.A.2 MATHEMATICAL PRACTICES MP1, MP5, MP6, MP7 Unlock the Problem The table shows how many dogs went to Pine Lake Dog Park during the summer months. About how many dogs went to the park during June and August? You can estimate to find about how many or about how much. An estimate is a number close to an exact amount. Pine Lake Dog Park Month Number of Dogs June 432 July 317 August 489 One Way Use compatible numbers. Compatible numbers are numbers that are easy to compute mentally and are close to the real numbers. Image Credits: (tr) Getty Images So, about dogs went to Pine Lake Dog Park during June and August. Math Talk 1. What other compatible numbers could you have used? 2. About how many dogs went to the park during July and August? What compatible numbers could you use to estimate? MATHEMATICAL PRACTICES 2 Reason Quantitatively Will the sum of the compatible numbers 425 and 475 be greater than or less than the exact sum? Explain. Chapter 1 17
2 Another Way Use place value to round = First, find the place to which you want to round. Round both numbers to the same place. The greatest place value of 432 and 489 is hundreds. So, round to the nearest hundred. When you round a number, you find a number that tells about how many or about how much. STEP 1 Round 432 to the nearest hundred. Look at the digit to the right of the hundreds place Since 3 < 5, the digit 4 stays the same. Write zeros for the tens and ones digits. STEP 2 Round 489 to the nearest hundred. Look at the digit to the right of the hundreds place Since 8 > 5, the digit 4 increases by one. Write zeros for the tens and ones digits. STEP 3 Find the sum of the rounded numbers So, is about _. Math Talk MATHEMATICAL PRACTICES 2 Use Reasoning How can a number rounded to the nearest ten be greater than the same number rounded to the nearest hundred? Try This! Estimate the sum. A Use compatible numbers _ + 25 _ B Use rounding
3 Name Share and Show MATH BOARD 1. Use compatible numbers to complete the problem. Then estimate the sum Math Talk MATHEMATICAL PRACTICES 1 Evaluate What other compatible numbers could you use for 428 and 286? Use rounding or compatible numbers to estimate the sum _ On Your Own Use rounding or compatible numbers to estimate the sum _ _ Seth bought a pair of sneakers for $48 and a jacket for $64. Explain how you can estimate to find the total amount that he spent for the sneakers and jacket. 9. Elena drove 255 miles last week and 342 miles this week. About how many miles did Elena drive for the two weeks, rounded to the nearest hundred? 10. DEEPER There are 187 kindergarten students, 203 first-grade students, and 382 second-grade students. About how many students are in the three grades, rounded to the nearest ten? How does the answer change if you round each number to the nearest hundred? Chapter 1 Lesson 3 19
4 MATHEMATICAL PRACTICES ANALYZE Use the table for MATHEMATICAL 11. PRACTICE 2 Use Reasoning About how many pet bowls were sold in June and July altogether? Dan s Pet Supplies Sold Month June July August Pet Bowls Bags of Pet Food DEEPER Would you estimate there were more pet bowls sold in June or in July and August combined? Explain. 13. SMARTER Dan estimated the lowest-monthly sales of both pet bowls and bags of pet food to be about 300. What month had the lowest sales? Explain. 14. SMARTER Write each number sentence in the box below the better estimate of the sum = = = = Image Credits: Image Source/Alamy Images 20
5 Name Estimate Sums Use rounding or compatible numbers to estimate the sum. Practice and Homework Lesson 1.3 COMMON CORE STANDARD 3.NBT.A.1 Use place value understanding and properties of operations to perform multi-digit arithmetic = + = Problem Solving 9. Stephanie read 72 pages on Sunday and 83 pages on Monday. About how many pages did Stephanie read during the two days? 10. Matt biked 345 miles last month. This month he has biked 107 miles. Altogether, about how many miles has Matt biked last month and this month? 11. WRITE Math Explain how to estimate two different ways. Chapter 1 21
6 Lesson Check (3.NBT.A.1) 1. The McBrides drove 317 miles on one day and 289 miles on the next day. Estimate the number of miles the McBrides drove during the two days. 2. Ryan counted 63 birds in his backyard last week. This week, he counted 71 birds in his backyard. About how many birds did Ryan count? Spiral Review (Reviews 2.G.A.1, 3.NBT.A.1, 3.OA.D.9) 3. What name describes this shape? 4. Is the sum even or odd? What is 503 rounded to the nearest hundred? What is 645 rounded to the nearest ten? FOR MORE PRACTICE GO TO THE Personal Math Trainer
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