Show:
8.NS.1 rational and irrational numbers
8.NS.2 repeating decimals are irrational numbers on a number line
8.EE.2 Cube roots and square roots
8.EE.3 Converting scientific notation
8.EE.4 operations using scientific notation.
100
Is 1/5 rational or irrational?
Rational
100
What is 0.3 repeating as a fraction?
3/99 or 3/11
100
What is the square root of 25?
5
100
Convert this to standard form. 9.5 x 10 2
950
100

(5 x 103) (1.2 x 105)

6 x 10 -2

200
Is pi rational or irrational?
Irrational
200
Where would pi be located on a number line?
Right after the 3.
200
What is the cube root of 27?
3
200
Convert this to standard form. 5.14 x 10 -5
0.0000514
200

(7 x 104) (6.5 x 102)

45.5 x 10 6

300
Give an example or a rational number.
Any whole number, fraction, terminating, or repeating decimal.
300
Where would -5.41328... be located on the number line?
Between -5 and -6.
300
What two numbers is the square root of 7 between?
5 and 6
300
Convert this to scientific notation. 2.400
2.4 x 10 3
300

(8 x 103) (8.5 x 105)

68 x 10 8

400
Give an example of a irrational number.
Any non-repeating, non-terminating, decimal.
400
What is 0.42 repeating as a fraction?
42/99 or 14/33
400
What two numbers is the square the cube root of 51 between?
3 and 4
400
Convert this to scientific notation. 0.0023
2.3 x 10 -3
400

(9 x 108) (7.8 x 109)

70.2 x 10 17

500
What is the difference between rational and irrational numbers?
Rational numbers are, whole numbers, fractions, terminating, repeating decimals. While Irrational numbers are, non-repeating, non_terminating decimals.
500
Explain how to change a repeating decimal to a fraction.
You take the number after the decimal and put it over 99. Then you reduce the fraction if you can.
500
What is the cube root of 343?
7
500
Explain how you convert scientific notation to standard form.
You move the decimal over how ever many times the number is by the ten. You move the decimal left if it is negative and right if it is positive. Then you will have your answer.
500
Explain how you solve operations using scientific notation.
You take the first two numbers in the equation. for example is you had the equation (3 x 10 5) ( 3.5 x 2) you would take 3 and 3.5 and multiply them. In this case you would get 10.5. Then you take the numbers by the tens in this case 5 and 2 and add then so then you would get 7. Then your answer would be 10.5 x 7