3-7 Estimating with Fractions Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

3-7 Estimating with Fractions x = = = Warm Up Solve. x = 24.6 x = x = x 4.1 x 15.1

3-7 Estimating with Fractions Problem of the Day Fill in the square using the numbers 5–13 so that all sums (rows, columns, and main diagonals) are the same

3-7 Estimating with Fractions Prep for MA.7.A.3.2 Add, subtract, multiply, and divide…fractions…including solving problems in everyday contexts. Review of MA.5.A.2.2 Sunshine State Standards

3-7 Estimating with Fractions Sometimes, when solving problems, you may not need an exact answer. To estimate sums and differences of fractions and mixed numbers, round each fraction to 0,, or 1. you can use a number line to help is closer to than to

3-7 Estimating with Fractions You can also round fractions by comparing numerators with denominators.

3-7 Estimating with Fractions Additional Example 1: Measurement Application A blue whale can grow to 33 m long, while 3535 the great white shark may be as long as 4 m Estimate how much longer the blue whale is than the great white shark – Round each mixed number. Subtract. The blue whale is about 29 m longer. = 29– Round to, round to, and round to 1. Helpful Hint

3-7 Estimating with Fractions Check It Out: Example – Round the mixed number. Subtract. = 8 – A Cocker Spaniel may grow to weigh about 11 kilograms while the Chihuahua will not weigh more than 2 kilograms. Estimate how much more the Cocker Spaniel weighs than the Chihuahua The Cocker Spaniel weighs about 8 kg more. 1212

3-7 Estimating with Fractions Estimate each sum or difference. Additional Example 2: Estimating Sums and Differences A – – = 7979 Round each fraction. Add B Round each mixed number. Subtract =

3-7 Estimating with Fractions Estimate the sum. Additional Example 2: Estimating Sums and Differences Add C. – – Round each number = – –2

3-7 Estimating with Fractions Estimate each sum or difference. Check It Out: Example 2 A – – 0 = Round each fraction. Add B Round each mixed number. Subtract =

3-7 Estimating with Fractions Estimate the sum. Check It Out: Example 2 Add C. – – Round each number = – –4

3-7 Estimating with Fractions You can estimate products and quotients of mixed numbers by rounding to the nearest whole number. If the fraction in a mixed number is greater than or equal to, you can round the mixed number up to the next whole number. If the fraction is less than, you can round down to a whole number by dropping the fraction

3-7 Estimating with Fractions Additional Example 3A: Estimating Products and Quotients Estimate each product or quotient. 3 7 = 21 Multiply Round each mixed number to the nearest whole number.

3-7 Estimating with Fractions Additional Example 3B: Estimating Products and Quotients Estimate each product or quotient. 14 ÷ 2 = 7 Divide ÷ Round each mixed number to the nearest whole number.

3-7 Estimating with Fractions Check It Out: Example 3A Estimate each product or quotient. 8 3 = 24 Multiply Round each mixed number to the nearest whole number.

3-7 Estimating with Fractions Check It Out: Example 3B Estimate each product or quotient. 12 ÷ 3 = 4 Divide ÷ Round each mixed number to the nearest whole number.

3-7 Estimating with Fractions Standard Lesson Quiz Lesson Quizzes Lesson Quiz for Student Response Systems

3-7 Estimating with Fractions Lesson Quiz Estimate each sum or difference. 1. The new show arena being built in Franklin County is 150 feet long and 110 feet wide. Estimate the difference between the length and width – – ft Estimate each product or quotient ÷

3-7 Estimating with Fractions 1. There are two buildings beside a park. The first building is 166 ft tall, and the second building is 114 ft tall. Estimate the difference between the heights of the buildings. A. 42 feet B. 45 feet C. 52 feet D. 55 feet Lesson Quiz for Student Response Systems

3-7 Estimating with Fractions 2. Estimate the sum. + A.C. 1 B. 1D. 2 Lesson Quiz for Student Response Systems

3-7 Estimating with Fractions 3. Estimate the difference. 8 – 5 A.5 B. 4 C.3 D. 2 Lesson Quiz for Student Response Systems

3-7 Estimating with Fractions 4. Estimate the product. 5 3 A.17 B. 18 C.19 D. 20 Lesson Quiz for Student Response Systems

3-7 Estimating with Fractions 5. Estimate the quotient. 15 ÷ 2 A.8 B. 7 C.6 D. 5 Lesson Quiz for Student Response Systems