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 simplest 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
What is the additive inverse of -1.87?
1.87
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.