Algebra 1 Unit 1 Study Day

Vocabulary

100

What is an Integer?

All whole numbers and their opposites (Negatives). No decimals or fractions.

200

What is a Terminating Decimal?

A decimal that comes to and end (has a final digit).

300

What is a Rational Number?

A number that can be wrriten as a fraction.

Decimal will either repeat forever or terminate.

400

What is a Irrational Number?

A number that cannot be written as a fraction.

Decimal will go on forever but never terminate nor repeat!

500

What is a Repeating Decimal?

A decimal in which a digit, or group of digits, repeats forever.

600

What is the defintion of a Square Root?

A number that when multiplied by itself, gives the original number

Classifying Numbers

100

Name ALL number classifications 

pi

Irrational → Real

200

Name ALL number classifications

6.666666666666...

Rational → Real

300

Name ALL number classifications

-5

Integer → Rational → Real

400

Name ALL number classifications 

sqrt(16)

 

Natural → Whole → Integer → Rational → Real

500

Name ALL number classifications 

sqrt(72)

 

Irrational → Real

600

Name ALL number classifications 

sqrt(64)

 

Natural → Whole → Integer → Rational → Real

Estimating

100

Estimate to the nearest tenth

sqrt(17)

sqrt(17)~~4.1

200

Estimate to the nearest tenth

sqrt(30)

sqrt(30)~~5.5

300

Estimate to the nearest tenth

sqrt(35)

sqrt(35)~~5.9

400

Estimate to the nearest tenth

sqrt(49)

sqrt(49)=7.0

500

Estimate to the nearest tenth

sqrt(72)

sqrt(72)~~8.5

600

Estimate to the nearest tenth

sqrt(101)

sqrt(103)~~10.1

Comparing Numbers

100

Which number is larger?

sqrt(10) or 9

9

200

Which number is larger?

sqrt(16) or 3.75

sqrt(16)=4

300

Which number is larger?

sqrt(20) or 5

5

400

Which number is larger?

sqrt(37) or sqrt(36)

sqrt(37)

500

Which number is smaller?

sqrt(45) or 7

sqrt(37) 

600

Which number is smaller?

sqrt(96) 9.2

9.2

Writing Irrational Numbers

100

Write and Irrational Number inbetween 5 and 10

Answer may vary

examples 

sqrt(26), sqrt(27), sqrt(48), sqrt(85)

200

Write and Irrational Number inbetween 2 and 6

Answer may vary

examples 

sqrt(5), sqrt(6), sqrt(26), sqrt(31)

300

Write and Irrational Number inbetween 7 and 8

Answer may vary

examples 

sqrt(50), sqrt(55), sqrt(60), sqrt(63)

400

Write and Irrational Number inbetween 4 and 5

Answer may vary

examples 

sqrt(17), sqrt(21), sqrt(23), sqrt(24)

500

Write and Irrational Number inbetween 5.5 and 6

Answer may vary

examples 

sqrt(31), sqrt(33), sqrt(34), sqrt(35)

600

Write and Irrational Number inbetween 4.7 and 5

Answer may vary

examples 

sqrt(23), sqrt(24)