Unit 1 Review Day 2

Rationals

100

What is the definition of rational numbers?

Any number that can be turned into a fraction; terminating and repeating decimals.

200

0.65656565....... is what type of decimal?

Repeating

300

0.8974364 is what kind of decimal?

Terminating 

400

Prove 0.5 is rational

Can be turned into fraction 5/10- 1/2

500

Prove 0.333333..... is rational

Can be turned into the fraction 33/99 - 1/3

Irrationals

100

What is the definition of irrational numbers?

All CRAZY decimals and roots we do not know.

200

What is the value of pi? 

3.14

300

What makes the square root of 17 irrational?

Crazy decimal

400

What is the max root and min root for the square root of 12

min: square root of 9

max: square root of 16

500

Explain why crazy decimals and roots we don't know are irrational?

There is no pattern, they do not terminate, cannot be a fraction

Simplify Expressions

100

2xpi

6.28

200

3 x square root (16)

12

300

What are the steps to simplifying 4 x square root (17)

1. Find min and max root

2. Estimate square root (17)

3. Simplify expression (multiply 4 by the estimate)

400

5 x cube root (343)

35

500

5x square root (122)

55.5 (if 11.1), 56 (11.2), 56.5 (11.3), 57 (11.4)

Estimating

100

square root (13)

3.6 - 3.9

200

square root (145)

12.1-12.4

300

square root (629)

25.1-25.4

400

2x square root (6)

Estimates: 2.1-2.4

Potential answers: 4.2, 4.4, 4.6, 4.8

500

10 x square root (370)

Estimates: 19.1-19.4

Potential answers: 191, 192,193,194

Scientific Notation

100

Convert 100 into scientific notation

1x10²

200

Convert 0.000475 in scientific notation

4.75x10⁴

300

Convert 2.48x10⁶ into standard form

2,480,000

400

Convert 9.889x10^-4 into standard form

0.0009889 

500

Convert 1.67532x10¹⁰ into standard form

16,753,200,000