Evaluating Square & Cube Roots
Estimating Square Roots
Identifying Rational & Irrational Numbers
Comparing Real Numbers
Ordering Real Numbers
100

Draw the symbol for square root (radical sign)

 √   

100

Is the square of 10 closer to 3 or 4?

It is closer to 3

100
Is 60 rational or irrational?
It is irrational. It is the square root of a non-perfect square.
100
Which is greater?
-2.3 or 1160
-2.3 < 1160
100

Put the numbers in order from least to greatest.

 7, 92, -4

-4 < 7 < 92

200
64
8
200

Estimate the square root of 56 to the nearest integer.

≈7

200

Identify the rational numbers from the list:

-8, 42, 15, π

-8, 42, 15

200
Which is greater?
27 or 5
27 > 5
200

Put the numbers in order from least to greatest.

53, -4.7, 4

-4.7 < 4 < 53

300

144

12

300

Estimate 111 to the nearest integer.

≈11

300

Identify the irrational numbers from the list:

0, 0.05629..., -29, 0.5234, 225

0.05629...

300
Which is greater?
0.3679832... or 0.4
0.3679832... < 0.4
300

Put the numbers in order from least to greatest.

-6, 4.3¯, -2.8, 123

-6 < -2.8 < 4.3¯ < 123 

400

169

13

400

Estimate the square root of 147 to the nearest tenth.

≈12.1

400

Identify the irrational square root:

√10, √4, √81, √16

10

400
Which is greater?
127 or 11.4
127 < 11.4
400

Put the following numbers in order from least to greatest.

12.5, -1625, 159, -15

-1625 <-15 < 12.5 < 159

500

196

14
500

Bradley wants to paint a square canvas to hang in his living room. If he wants the area of the canvas to be 124 square inches, what should the dimensions of the canvas be? Round your answer to the nearest hundredth.

≈11.1 x 11.1 inches

500

Martin says that 0.33¯ is an irrational number because it cannot be written as a fraction. Do you agree with Martin? Show proof.

I disagree with Martin because 0.33¯=1/3.

500
Which is greater?
-42 or -6.6
-42 > -6.6
500

Put the following values in order from least to greatest.

233, 7.85, 60

7.85 < 60 < 233

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