Lesson 16 Compare Products

- Let’s compare products.

Warm-up True or False: Compare Products

Decide if each statement is true or false. Be prepared to explain your reasoning.

$\frac{4}{5} \times 100 = 120$
$\frac{4}{5} \times 100 < 100$
$\frac{4}{5} \times 100 = 80$

Activity 1 Go the Distance

Kiran, Noah, and Elena each ran as far as they could in one hour.

Elena ran $\frac{3}{4}$ of a 5 mile trail.
Noah ran $\frac{1}{2}$ of a 5 mile trail.
Kiran ran $1 \frac{1}{4}$ of a 5 mile trail.

Problem 1

List the distances the students ran in increasing order. Be prepared to explain your reasoning.

Problem 2

Fill in the blanks to make each statement true. Be prepared to explain your reasoning.

Diego ran farther than Noah, but not as far as Kiran.
Diego ran of a 5 mile trail.
Lin ran farther than Kiran, but not twice as far as Kiran.
Lin ran of a 5 mile trail.
Tyler ran farther than Noah, but not as far as Elena.
Tyler ran of a 5 mile trail.

Activity 2 Compare Expressions

Problem 1

Write $<$ or $>$ in each blank to make the statement true. Explain or show your reasoning.

$\frac{5}{4} \times 100$ $100$
$\frac{5}{7} \times 2$ $2$
$\frac{1}{3} \times 50$ $100$

Problem 2

Write a number in each box to make the statement true. Explain or show your reasoning.

$\frac{}{9} \times 50 < 50$
$\frac{}{9} \times 50 = 50$
$\frac{}{9} \times 50 > 50$

Problem 3

Write a number in each box to make the statement true. Explain or show your reasoning.

$\frac{9}{} \times 50 < 50$
$\frac{9}{} \times 50 = 50$
$\frac{9}{} \times 50 > 50$

Practice Problem

Problem 1

Andre ran $\frac{4}{5}$ of a 7 mile trail. Did Andre run more or less than 7 miles? Explain or show your reasoning.
Clare ran $\frac{}{10}$ of a 7 mile trail. She ran more than 7 miles. Choose a number that could go in the box. Explain or show your reasoning.