Adding Rational Numbers
determine the sum
9/2 +3/2
12/2
Determine the difference
-5.1 - 3.3
-8.4
Write two fractions that represent the same number
7/-9
-7/9, 14/-18
write an equal rational number on the board for the following number
3/2
1.5
When Tim leaves for work, the thermostat in his house reads 23°C, when he comes back from work the thermostat reads 18.4°C. What was the temperature change while Tim was at work?
-4.6°C
determine the sum
4/5 + (-1/3)
7/15
determine the difference
11/5 - (-2/5)
13/5
Write as a decimal
- 11/6
-1.8333...
which of these numbers is greater? explain your thinking
-5.666..., -5.6
-5.6 - closer to 0
Is the following statement correct? Why or why not?
"When I compare two numbers, the lesser number is closer to zero"
The statement is true only when both numbers are positive
between 1 and -100, 1 is closer to 0 than -100
estimate whether the sum is greater or less than 0. explain how you know. evaluate to verify.
12.94 + (-12.56)
greater
0.38
determine the difference
15/4 - 5/12
40/12 or 10/3 or 3 1/3
Write as a decimal
41/1000
0.041
Write three rational numbers between this pair of numbers
-5.6, -5,7
-5.63, -5.66, -5.68
On Christmas day, the average temperature was -15.4°C, the next day the average temperature had increased by 7.8°C. What was the temperature on the second day?
-7.6°C
determine the sum without using a calculator
82.0018 + 100.2
182.2018
Predict whether the answer is positive or negative, explain your thinking. calculate the answer to verify
1.32 - (-5.79)
positive
7.11
Which of the following is equivalent to 0.06?
6/5, 3/50, 3/10, 3/100
3/50
Order these numbers from least to greatest using a number line
1.2, 2.1, -2.01, -1.2, 1.222..., -1,22
-2.01, -1.22, -1.2, 1.2, 1.222..., 2.1
Kyle owes his father $35.75, he then borrows another $24.55 and the following day pays his father back $29.90
How much money does Kyle still owe his father?
$30.40
determine the missing number in this statement
? + 16.531 = 32.444
15.913
determine the missing number in this statement
? - 0.05 = (-2.08)
-2.03
23/20 = ?/160
After finishing, convert both answers into decimals.
? = 184
both decimals equal 1.15
Order these numbers from least to greatest on a number line
0.3, -0.333..., 1/3, -0.3, 0.33, -3
-3, -0.333..., -0.3, 0.3, 0.33, 1/3
The lowest point on Hogwarts School grounds is 89.4m below sea level. The highest point is 7844.7m above sea level. How can you use rational numbers to find the distance between these two points? What is the distance between the two points?
Add them together
7934.1m