Lesson 10
Multiply!
Let’s get more practice multiplying signed numbers.
Problem 1
Evaluate each expression:
 \(\text12 \boldcdot \frac13\)
 \(\text12 \boldcdot \text{}\frac {1}{3}\)
 \(12 \boldcdot \left(\text{}\frac {5}{4}\right)\)
 \(\text12 \boldcdot \left(\text{}\frac {5}{4}\right)\)
Problem 2
Evaluate each expression:
 \(\text1 \boldcdot 2 \boldcdot 3\)
 \(\text1 \boldcdot (\text2) \boldcdot 3\)
 \(\text1 \boldcdot (\text2) \boldcdot (\text3)\)
Problem 3
Order each set of numbers from least to greatest.
 4, 8, 2, 6, 0
 5, 5.2, 5.5, \(\text5\frac12\), \(\frac {\text{}5}{2}\)
Problem 4
\(30 + \text30 = 0\).
 Write another sum of two numbers that equals 0.
 Write a sum of three numbers that equals 0.
 Write a sum of four numbers that equals 0, none of which are opposites.
Problem 5
A submarine is searching for underwater features. It is accompanied by a small aircraft and an underwater robotic vehicle.
At one time the aircraft is 200 m above the surface, the submarine is 55 m below the surface, and the underwater robotic vehicle is 227 m below the surface.
 What is the difference in height between the submarine and the aircraft?

What is the distance between the underwater robotic vehicle and the submarine?
Problem 6
 Clare is cycling at a speed of 12 miles per hour. If she starts at a position chosen as zero, what will her position be after 45 minutes?
 Han is cycling at a speed of 8 miles per hour; if he starts at the same zero point, what will his position be after 45 minutes?
 What will the distance between them be after 45 minutes?
Problem 7
Fill in the missing numbers in these equations
 \((\text7)\boldcdot {?} = \text14\)
 \({?}\boldcdot 3 = \text15\)
 \({?}\boldcdot 4 = 32\)
 \(\text49 \boldcdot 3 ={?}\)