
Lesson Number Systems
Presentation
•
Mathematics
•
7th Grade
•
Hard
Joseph Anderson
FREE Resource
6 Slides • 9 Questions
1
Number Systems: Operations with Rational Numbers (1)
MGSE7.NS.1a Show that a number and its opposite have a sum of 0 (are additive inverses). Describe situations in which opposite quantities combine to make 0. For example, your bank account balance is -$25.00. You deposit $25.00 into your account. The net balance is $0.00.
2
COPY THE NOTES IN YOUR NOTEBOOK!!!
3
Types of Numbers
Natural Numbers ( 1, 2, 3, 4, 5...)
Whole Numbers ( 0,1,2,3,4,5...) Includes 0 and all natural numbers
Integers (..., -3, -2, -1, 0, 1, 2, 3...)
Rational Numbers ( All Natural, Whole, Integers, fractions, and decimal numbers) can be written as a ratio
Irrational Numbers- Can not be written as a ratio. Ex. Pi
4
Absolute Value
distance a number is from zero along a number line
Simply put, is just asking you how far away -4 is from zero.
Since distance is always a positive number (you can't travel "negative" steps, just steps in a different direction), the result of absolute value is always positive.
5
Additive Inverse
Another name for Additive Inverse is "Opposite"
Example 4 and -4
Opposites are an equal distance from zero.
Their sums are zero
6
7
Open Ended
Choose one word from the image that describes a negative number.
8
Open Ended
Choose one word from the image that describes a positive number.
9
Multiple Choice
The lowest recorded temperature in Antarctica was about 90°F below zero. The highest recorded temperature in Antarctica was about 15°F. Which integer represents the highest recorded temperature in Antarctica?
-90
15
-15
90
10
Multiple Choice
What is the result of adding 3 to −3?
-6
0
9
-9
11
Multiple Choice
What is the result of adding 20 to −20?
-40
20
0
-20
12
Multiple Choice
An elevator is on the 10th floor. It goes down 6 floors and then up 4 floors. What floor is the elevator on now?
6th floor
7th floor
8th floor
9 floor
13
Fill in the Blanks
A car is traveling at a speed of 65 mph. The car slows down 18 mph because of traffic, and then increases its speed by 13 mph. What is the car's speed now?
Type answer...
14
Fill in the Blanks
What is the absolute value of -5
Type answer...
15
Fill in the Blanks
What is the absolute value of 2
Type answer...
Number Systems: Operations with Rational Numbers (1)
MGSE7.NS.1a Show that a number and its opposite have a sum of 0 (are additive inverses). Describe situations in which opposite quantities combine to make 0. For example, your bank account balance is -$25.00. You deposit $25.00 into your account. The net balance is $0.00.
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