Lesson 10

Multiply!

Problem 1

Evaluate each expression:

  1. \(\text-12 \boldcdot \frac13\)
  2. \(\text-12 \boldcdot \text{-}\frac {1}{3}\)
  3. \(12 \boldcdot \left(\text{-}\frac {5}{4}\right)\)
  4. \(\text-12 \boldcdot \left(\text{-}\frac {5}{4}\right)\)

Solution

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Problem 2

Evaluate each expression:

  1. \(\text-1 \boldcdot 2 \boldcdot 3\)
  2. \(\text-1 \boldcdot (\text-2) \boldcdot 3\)
  3. \(\text-1 \boldcdot (\text-2) \boldcdot (\text-3)\)

Solution

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Problem 3

Order each set of numbers from least to greatest.

  1. 4, 8, -2, -6, 0
  2. -5, -5.2, 5.5, \(\text-5\frac12\), \(\frac {\text{-}5}{2}\)

Solution

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(From Unit 5, Lesson 1.)

Problem 4

\(30 + \text-30 = 0\).

  1. Write another sum of two numbers that equals 0.
  2. Write a sum of three numbers that equals 0.
  3. Write a sum of four numbers that equals 0, none of which are opposites.

Solution

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(From Unit 5, Lesson 3.)

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.

  1. What is the difference in height between the submarine and the aircraft?
  2. What is the distance between the underwater robotic vehicle and the submarine?

Solution

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(From Unit 5, Lesson 6.)

Problem 6

  1. 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?
  2. 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?
  3. What will the distance between them be after 45 minutes?

Solution

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(From Unit 5, Lesson 8.)

Problem 7

Fill in the missing numbers in these equations

  1. \((\text-7)\boldcdot {?} = \text-14\)
  2. \({?}\boldcdot 3 = \text-15\)
  3. \({?}\boldcdot 4 = 32\)
  4. \(\text-49 \boldcdot 3 ={?}\)

Solution

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(From Unit 5, Lesson 9.)