Warm Up Problem The dance team recently purchased 25 new pairs of boots for $1,350. What was the price of each pair of boots? A) $50 B) $54 C) $55 D) $60

Estimate Quotients Lesson 3-6

Objectives I can estimate quotients. I can justify my answer using multiplication.

compatible numbers - numbers that are easy to calculate mentally Vocabulary compatible numbers - numbers that are easy to calculate mentally

Example 1 Estimate 11.75 ÷ 3. Round the dividend, use compatible numbers. Since the divisor is 3, round 11.75 to 12. 12 divided by 3 = 4. So, 11.75 ÷ 3 is about 4.

Example 2 The Jenkins family bought five tickets to a charity auction. The total cost of the tickets was $61.25. Estimate the cost of each ticket. Use multiplication to justify your answer. Round 61.25 to 60. 60 ÷ 5 = 12. So each ticket cost about $12. Since 5 x 12 = 60, the answer is reasonable.

Got It? 1) 49.3 ÷ 7 2) 98.1 ÷ 25

Example 3 Estimate 32 ÷ 3.9. Round the divisor to a whole number. Use compatible numbers. 3.9 ≈ 4 32 ÷ 4 = 8 Check by multiplying: 3.9 x 8 = 31.2 31.2≈32, so the answer is reasonable.

Example 4 Estimate 56 ÷ 6.8 Round the divisor to a whole number. 6.8 ≈ 7 56 ÷ 7 = 8 Check by multiplying: 6.8 x 8 = 54.4 54.4≈56 So the answer is reasonable.

Got It? 3) 54 ÷ 9.16 4) 99 ÷ 10.75

Example 5 A Pacific Leatherback turtle can have a mass of up to 704.4 kg. An Olive Ridley turtle can have a mass of up to 49.9kg. About how many times heavier is the Pacific Leatherback turtle? Explain why your answer is reasonable. 704.4≈700 49.9≈50 700 ÷ 50 = 14 14 x 50 = 700, so the answer is reasonable.

Got It? 5) There are approximately 250.9 million cars in the United States. Spain has approximately 25.1million cars. About how many times more cars does the U.S. have than Spain? Explain why your answer is reasonable.