IM: 7.5.11: Dividing Rational Numbers (Lesson)
By Formative Staff
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Last updated 7 months ago
23 questions
11.1: Tell Me Your Sign
Consider the equation: -27x=-35
Is the solution to this equation positive or negative?
Is the solution to this equation positive or negative?
Is \frac{35}{27} a solution to the equation?
Is \frac{35}{27} a solution to the equation?
Is -\frac{35}{27} a solution to the equation?
Is -\frac{35}{27} a solution to the equation?
11.2: Multiplication and Division
Find the missing values in the equations
-3\cdot4=?
-3\cdot4=?
-3\cdot?=12
-3\cdot?=12
3\cdot?=12
3\cdot?=12
?\cdot-4=12
?\cdot-4=12
?\cdot4=-12
?\cdot4=-12
Rewrite the unknown factor problems as division problems.
Rewrite the unknown factor problems as division problems.
Complete the sentences. Be prepared to explain your reasoning.
The sign of a positive number divided by a positive number is always:
The sign of a positive number divided by a positive number is always:
The sign of a positive number divided by a negative number is always:
The sign of a positive number divided by a negative number is always:
The sign of a negative number divided by a positive number is always:
The sign of a negative number divided by a positive number is always:
The sign of a negative number divided by a negative number is always:
The sign of a negative number divided by a negative number is always:
Han and Clare walk towards each other at a constant rate, meet up, and then continue past each other in opposite directions. We will call the position where they meet up 0 feet and the time when they meet up 0 seconds.
- Han's velocity is 4 feet per second.
- Clare's velocity is -5 feet per second.
Where is each person 10 seconds before they meet up?
Where is each person 10 seconds before they meet up?
When is each person at the position -10 feet from the meeting place?
When is each person at the position -10 feet from the meeting place?
It is possible to make a new number system using only the numbers 0, 1, 2, and 3. We will write the symbols for multiplying in this system like this: 1\otimes2=2. The table shows some of the products.
In this system, 1\otimes3=3 and 2\otimes3=2. How can you see that in the table?
In this system, 1\otimes3=3 and 2\otimes3=2. How can you see that in the table?
What do you think 2\otimes1 is?
What do you think 2\otimes1 is?
What about 3\otimes3?
What about 3\otimes3?
What do you think the solution to 3\otimes n=2 is?
What do you think the solution to 3\otimes n=2 is?
What about 2\otimes n=3?
What about 2\otimes n=3?
11.3: Drilling Down
A water well drilling rig has dug to a height of -60 feet after one full day of continuous use.
Assuming the rig drilled at a constant rate, what was the height of the drill after 15 hours?
Assuming the rig drilled at a constant rate, what was the height of the drill after 15 hours?
If the rig has been running constantly and is currently at a height of -147.5 feet, for how long has the rig been running?
If the rig has been running constantly and is currently at a height of -147.5 feet, for how long has the rig been running?
At this rate, how many hours will it take until the drill reaches -250 feet?
At this rate, how many hours will it take until the drill reaches -250 feet?