Unit 1 Number Systems and Exponents Board 2

Repeating Decimals

100

0.7...

7/9

200

0.48...

16/33 or 48/99

300

0.546...

546/999 or 182/333

400

0.321...

MUST be in Lowest Terms!

107/333

500

0.4666666...

42/90 or 7/15

Rational/Irrational

100

Rational or Irrational?

0.345345345....

Rational

200

Rational or Irrational

0.984657684762928178346287398113643...

Irrational

300

Which is bigger?

5 or Square root of 34? 

Square root of 34

400

Between which two numbers does the square root of 79 fall on a number line?

Between 8 and 9 on the number line. 

500

What is the approximate value of the square root of 52?  

Answers can range 7.1-7.3

Rules of Exponents

100

X² X⁴

X⁶

200

P⁹/P³

P⁶

300

H⁸ G³/H² G⁷

H⁶/G⁴

400

(W³ K⁴)³

W⁹K¹²

500

W^-5 / K^-9

K⁹ / W⁵

Scientific Notation Basics

100

Convert to Scientific Notation

789,000,000

7.89 x 10⁸

200

Convert to Scientific Notation

0.0000465

4.65 x 10^-5

300

Convert to Standard Form

3.82 x 10⁴

38,200

400

Convert to Standard form

4.18 x 10^-5

0.0000418

500

Which one is bigger? 

9.78 x 10³

2.31 x 10⁴

6.98 x 10^-12

2.31 x 10⁴

Adding Scientific Notation

100

Add

(4 x 10³) + (5 x 10³) =

9 x 10³

200

Add

(4 x 10³) + (5 x 10²)

4.5 x 10³

300

Add

(4.5 x 10³) + (5.5 x 10³)

1.0 x 10⁴

400

(3.3 x 10⁴) + (5.6 x 10⁶)

5.633 x 10⁶

500

(4.2 x 10²) x (5.8 x 10^-1)

4.2058 x 10²