4 Rational Numbers: Positive and Negative Fractions

R.1 Fractions 4.5 Problem Solving: Mixed Numbers and Estimating Objectives 1. Identify mixed numbers and graph them on a number line. 2. Rewrite mixed numbers as improper fractions, or the reverse. 3. Estimate the answer and multiply or divide mixed numbers. 4. Estimate the answer and add or subtract mixed numbers. 5. Solve application problems containing mixed numbers.

Identify mixed numbers and graph them on a number line. When a fraction and a whole number are written together, the result is a mixed number. As the diagram below shows, the mixed number is equivalent to the improper fraction .

Identify mixed numbers and graph them on a number line. Example Display the mixed numbers and on the number line. The number line shows the following.

Identify mixed numbers and graph them on a number line.

Rewrite mixed numbers as improper fractions, or the reverse.

Rewrite mixed numbers as improper fractions, or the reverse. Example Write as an improper fraction (numerator greater than denominator).

Rewrite mixed numbers as improper fractions, or the reverse.

Rewrite mixed numbers as improper fractions, or the reverse. Example Write as an equivalent mixed number in simplest form.

Rewrite mixed numbers as improper fractions, or the reverse. Example Write as an equivalent mixed number in simplest form.

Estimate the answer and multiply or divide mixed numbers. Example Round to the nearest whole number.

Estimate the answer and multiply or divide mixed numbers. Example Round to the nearest whole number.

Estimate the answer and multiply or divide mixed numbers.

Estimate the answer and multiply or divide mixed numbers. Example Consider the product . First, round the numbers and estimate the answer. Then find the exact answer. Exact Product:

Estimate the answer and multiply or divide mixed numbers. Example Consider the quotient . First, round the numbers and estimate the answer. Then find the exact answer. Estimate: Exact Quotient:

Estimate the answer and add or subtract mixed numbers. Example Consider the sum . First, round the numbers and estimate the answer. Then find the exact answer. Estimate: Exact Sum:

Estimate the answer and add or subtract mixed numbers. Example Consider the difference . First, round the numbers and estimate the answer. Then find the exact answer. Estimate: Exact Difference:

Solve application problems containing mixed numbers. Example Gary needs to haul tons of sand to a construction site. His truck can carry tons. How many trips will he need to make? First, estimate the answer. Using the rounded numbers in the problem makes it easier to see that you need to divide. Now find the exact answer.

Solve application problems containing mixed numbers. Example Zenitia worked hours on Monday and hours on Tuesday. How much longer did she work on Tuesday than on Monday? First, estimate the answer. Using the rounded numbers in the problem makes it easier to see that you need to subtract. Now find the exact answer.