Classifying Real Numbers
Comparing and Ordering Real Numbers
Integers
Rational Number
Order of Operations
100
Which of these numbers is a NATURAL number? a) 2/3 b) -3 c) 7 d) 0
7 is a natural/counting number
100
Compare using <, >, or =. -5.4 ____ 6.7
-5.4 < 6.7 (Negative numbers are always smaller than positive numbers.)
100
Find the sum: -18 + -12
-30 (Same signs, you add and give the sign)
100

1/3 + 2/3

1

100
Find the value of the following expression: 14 + 3 x 6 - 17
15
200
Which of the following is a whole number? a) 0.8 b) 1/2 c) -5 d) 12/3
12/3 = 4 ; 4 is a whole number
200
Compare using <, >, or =. 0.76 _____ 0.2345
0.76 > 0.2345
200
Find the difference: -12 - (-9)
-3 (Keep, Change, Change; Follow the rules of addition) -12 + (+9) (Different signs, subtract, and give the sign of the bigger number)
200

1/2 - 1/5

3/10

200
Find the value of this expression: 13 - (2 x 4) + 15
13 - 8 + 15 5 + 15 20 The value of this expression is 20.
300
Which of the following is an integer? a) -4/9 b) 12 c) 0.67 d) 1/4
12 is an integer. Integers are whole numbers or their opposites.
300
Compare using <, >, or =. 4/5 _____ 0.80
4/5 = 0.80
300

A submarine is located at 400 meters below sea level. If the submarine ascends 125 meters, what is its current location?

-400 + 125 = -275 meters

300

2/3 x (1/4 - 1/8)

1/12

300

12^2 + -4 x 3

132

400
Why is "Pi" an irrational number?
"Pi" is an irrational number because its decimal goes on forever and never repeats. Also, it cannot be written as a fraction.
400
Order the following numbers from least to greatest: 1/2, 0.12, -8, 0, -1.3
-8, -1.3, 0, 0.12, 1/2
400
-4 x 3 + (-16)
-12 + (-16) = -28
400
(1/3 + 2/5)^2

121/225

400
4 + 19 - 4 x 2(-4 + -2)
4 + 19 - 4 x 2 x -6 4 + 19 - 8 x -6 4 + 19 - (-48) 23 - (-48) 71 The value of this expression is 71
500
Is the square root of 81 a rational or irrational number? How do you know?
The square root of 81 is a rational number because it is equal to 9 and 9 can be written as a fraction, 9/1.
500
Order these numbers from greatest to least: 3.9, -4, 1.22, 1/4, -12
3.9, 1.22, 0.25, -4, -12
500
-120 - (-46)
-74
500

3.2 : (-1.6) + 0.8 x (-5)

-6

500
Find the value of the following expression: ([3 x -5] + -11) x 4
(-15 + -11) x 4 -26 x 4 -104 The value of this expression is -104