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Biblioteka

IM: 7.5.11: Dividing Rational Numbers (Lesson)

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Posljednje ažuriranje over 1 year ago
23 questions
11.1: Tell Me Your Sign

Consider the equation: -27x=-35

1
1
1
11.2: Multiplication and Division
11.3: Drilling Down
Pitanje 1
1.

Is the solution to this equation positive or negative?

Pitanje 2
2.

Is \frac{35}{27} a solution to the equation?

Pitanje 3
3.

Is -\frac{35}{27} a solution to the equation?

Find the missing values in the equations

1
Pitanje 4
4.

-3\cdot4=?

1
Pitanje 5
5.

-3\cdot?=12

1
Pitanje 6
6.

3\cdot?=12

1
Pitanje 7
7.

?\cdot-4=12

1
1
Pitanje 9
9.

Rewrite the unknown factor problems as division problems.

Complete the sentences. Be prepared to explain your reasoning.

1
Pitanje 10
10.

The sign of a positive number divided by a positive number is always:

1
Pitanje 11
11.

The sign of a positive number divided by a negative number is always:

1
Pitanje 12
12.

The sign of a negative number divided by a positive number is always:

1
Pitanje 13
13.

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.

1
Pitanje 14
14.

Where is each person 10 seconds before they meet up?

1
Pitanje 15
15.

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.

1
Pitanje 16
16.

In this system, 1\otimes3=3 and 2\otimes3=2. How can you see that in the table?

1
Pitanje 17
17.

What do you think 2\otimes1 is?

1
Pitanje 18
18.

What about 3\otimes3?

1
Pitanje 19
19.

What do you think the solution to 3\otimes n=2 is?

1
Pitanje 20
20.

What about 2\otimes n=3?

A water well drilling rig has dug to a height of -60 feet after one full day of continuous use.

1
Pitanje 21
21.

Assuming the rig drilled at a constant rate, what was the height of the drill after 15 hours?

1
Pitanje 22
22.

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?

Use the coordinate grid in the applet to show the drill’s progress:

https://curriculum.illustrativemathematics.org/MS/students/2/5/11/index.html

[Scroll to the tool under "11.3: Drilling Down"]

1
Pitanje 23
23.

At this rate, how many hours will it take until the drill reaches -250 feet?

Pitanje 8
8.

?\cdot4=-12