Understanding Integers
What is an integer?
an integer is a whole number that can be positive, negative, or zero.
What is a rational number?
A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.
Examples - Fractions and Decimals , and whole numbers - whole numbers can be written as a fraction by putting it over 1
5+(−3)
5+(−3)=2
Which is greater, −3−or −5
−3 is greater than −5
The temperature is currently −5∘ If the temperature drops by 4∘ what is the new temperature
-9
Name three examples of integers.
−3,0,5
Give two examples of rational numbers
.5, 1/2 , -3
-4 - 6
−10
How do you compare 1/2 and 3/4 ? Which is larger ? Why?
1/2 is less than 3/4
You can create equivalent fractions to compare size
If a submarine is at −500 meters and it rises 200 meters, what is its new depth?
-300
What is the absolute value of −7?
7- absolute value is always positive
Convert 0.75 into a fraction, then put it in simpleist form
75/100
3/4
−2×3=
-2x3= -6
Write these numbers in order from least to greatest: 2,−1 ,0,−3 ,4,
Ordered from least to greatest: −3,−1,0,2,4
A hiker starts at a height of −10 meters and climbs 15 meters. What is the hiker's new height
5
What is the result of 8+(−3)
5
What is the sum of 1/12 and 2/4
7/12
12÷(−3)
-4
Which is greater, −3/4− or −2/3? Show your reasoning
-3/4 is less than −2/3 because −2/3 is closer to zero
If a runner is −5 meters behind the starting line and runs 20 meters forward, where is the runner now?
15 meters
Explain how to add two negative integers and give and example
When adding two negative integers, the sum is also a negative integer. For example, −3+(−4)=−7
Is −5/2 a rational number? Explain why or why not
Yes, −5/2 is a rational number because it can be written as a fraction of two integers
7+(−2)+(−5)
0
Compare −7/8 and −5/6 . Which is greater, and why?
7/8 is less than −5/6 because −5/6 is closer to zero
A temperature dropped from 15∘C to −5 . What was the change in temperature?
The change in temperature is 20∘C