Approximating Irrational Numbers

ALL perfect squares are ​ (a)   and non-perfect squares are ​ (b)   !

• rational

• irrational

What is the key to approximating irrational numbers?

• Using a number line

• Division

• Rewriting fractions

• Decimals

After writing a normal number line with whole numbers, what should you also add to your number line?

• The perfect squares that match each whole number

• Hash marks

• Color

• Decimals

Between what two perfect squares does √7 fall between on the number line?

• √4 and √9

• √2 and √3

• √1 and √16

• √6 and √8

√7 is between what two WHOLE NUMBERS?

(HINT: What are the perfect squares √74 falls between? What are their whole numbers?)

• 2 and 3

• 1 and 2

• 3 and 4

• 2 and 4

Since √7 is closer to √9 (or the whole number 3), choose all of the numbers that √7 could possibly equal!

• 2.6

• 2.8

• 3.0

• 2.4

• 2.7

Between which two perfect squares is √74?

• √81 and √100

• √36 and √49

• √49 and √64

• √64 and √81

Based on your previous answer, between what two whole numbers do you think √74 would fall between?

(HINT: What are the perfect squares √74 falls between? What are their whole numbers?)

• 6 and 7

• 9 and 10

• 8 and 9

• 7 and 8

Select 2 numbers that could prepresent the approximation of √74!

• 8.6

• 8.7

• 8.4

• 8.5