CPM Homework Help : CC1MN Problem 6-82

For each of the following products, estimate the answer. Explain your reasoning. Then multiply each set of numbers to see how close you were.

Hint:

To estimate the product of each expression in parts (a), (b), and (c), try rounding
the mixed numbers to the nearest whole number, then multiply.

$\quad 2 \frac { 1 } { 3 } \cdot 1 \frac { 1 } { 2 }$

Hint (a):

To calculate the actual value of this expression, it would be best to convert each mixed number to a fraction greater than one. For instance, there are 3 thirds in 1, and 6 thirds in 2.

$\text{This means }2\frac{1}{3}\text{ is equal to }\frac{7}{3}.$

$5.4 \cdot 2 \frac { 3 } { 4 }$

Hint (b):

Try making the mixed number into a decimal before multiplying.

Answer (b):

The product of this expression is $14\frac{17}{20}$

$3.1 \cdot 2.7$

Hint (c):

A reasonable estimate for this would be (3)(3).

Answer (c):

The product of this expression is $8.37$ .