1.1-1.3 Real Number SystemReview - PreAlgebra

Rational Numbers and Decimals

100

Write 6 2/25 as a terminating decimal using long division.

6.08 (*remember that terminating means it will end) 

200

Write 19/4 as a terminating decimal using long division.

4.75

300

Write 52/40 as a terminating decimal using long division.

1.3

400

Write 11/6 as a repeating decimal.

1.83* (3 repeating)

500

Write 5/9 as a repeating decimal. 

0.5 (*repeating)

Irrational Numbers

100

Estimate square root of 28.

5 x 5 = 25

6 x 6 = 36

So this will be closer to 5. 

200

Estimate the square root of -(123).

11 x 11 = 121 

12 x 12 = 144

So it will be closer to -11. 

300

Estimate the square root of 79. 

8 x 8 = 64

9 x 9 = 81

Closer to 9. 

400

Estimate the square root of -(250). 

15 x 15 = 225

16 x 16 = 256

So it will be closer to -16. 

500

Estimate the square root of 435. 

20 x 20 = 400 

21 x 21 = 441

So it is closer to 21. 

All Mixed Up

100

Compare 0.57 _____ 0.576

0.570 < 0.576

200

Compare 3/4 _____ 4/5

0.75 < 0.8

or 

15/20 < 16/20

300

Compare -10 3/4 _____ -41/5 

-10.75 < -8.2

(Remember- the further into "decimal land" you go, the smaller the numbers) 

-10, -9, -8, -7, -6, -5, -4......

(smaller)..... (bigger)

400

Locate 52/40 on a number line. 

1 12/40 = 1 3/10 = 1.3 

1 --x------2

500

Locate the square root of -22 on a number line. 

4 x 4= 16

4.5 x 4.5 = 20.25

5 x 5= 25

Closer to 5

4 -------x--5