Square Roots
Estimating Square Roots
Comparing Real Numbers
Ordering Real Numbers
100

Draw the symbol for square root (radical sign)

 √    

100

To estimate an imperfect square, what can I use?

Perfect square approximations.

100

Which is greater?

-2.3 or 11.6

-2.3 < 11.6

100

Put the numbers in order from least to greatest.

 7, 92, -4, -4.3

-4.3, -4, 92, 7

200

  64

8

200

Is  10  closer to 3 or 4?

3.

200

Which is greater?

√27 or 5

√27 > 5

200

Put the numbers in order from least to greatest.

5.3, -4.7, 4, √25

-4.7, 4, √25, 5.3

300

 49  

7

300

Estimate √11 to the nearest integer.

≈3.3

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

 144  

12

400

Estimate √32 to the nearest tenth.

≈5.6

400

Which is greater?

√144 or 12

√144 = 12

400

Put the following numbers in order from least to greatest.

12.5, -16.25, √13 , -15

-16.25, -15 , √13, 12.5

500

 225  

15

500

Bradley wants to paint a square canvas to hang in his living room. If he wants the area of the canvas to be √260 square inches. Approximately how long should each side be? Round your answer to the nearest hundredth.

√260 ≈ 16.1

500

Which is greater?

√42 or 6.6

√42 < 6.6

500

Put the following values in order from least to greatest.

8, √63, √100, 7.8, √15

√15, 7.8, √63, 8, √100