Math 8, Topic 1, Review

Is it Rational

100

Is 3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679 

Rational or Irrrational

3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679 is Irrational

200

is 2/3 Rational or Irrational?

2/3 is Rational

300

Is 5.45454545454545454545... Rational or Irrational?

5.45454545454545454545... is Rational

400

Is the square root of 9 Rational or Irrational?

The square root of 9 is Rational

500

Is the square root of 10 Rational or Irrational?

The square root of 10 is Irrational

Notation of the Sciences

100

What is 200 in scientific notation?

2 x 10²

200

What is 23,400 in scientific notation?

2.34 x 10⁴

300

What is 5.62 x 10⁵

562,000

400

Write 0.00789 in scientific notation

7.89 x 10^-3

500

Why is 54 x 10⁵ not in scientific notation?

Because 54 is not between 1 and 10 (including 1)

Exponent Properties

100

Simplify 3²x3⁵

3⁷

200

Simplify (4⁵)/(4²)

4³

300

Simplify (4³)⁵

4¹⁵

400

Simplify (5³ x 5⁶)²

(5³ x 5⁶)²

(5⁹)²

5¹⁸

500

Simplify (2^x)(2^y)

2^x+y

Properties of Exponents (cont.)

100

What is: 3⁰

1

200

What is: 64927⁰

1

300

Write the following with positive exponents:

3^-4

1/(3⁴)

400

Write the following with only positive exponents: 6^-47

1/(6⁴⁷)

500

Write the following with only positive exponents: 

(3^-7)(3⁴)(3²)

1/(3¹)

Squared or Cubed

100

What is the square root of 9?

the square root of 9 is -3 & 3 

200

What is the cubed root of 64?

The cubed root of 64 is 4

300

Approximate (to the nearest tenth) the square root of 15

The square root of 15 is about -3.9 and 3.9

400

What is the side-length of a square that has an area of 121 m²?

the side-length of a square that has an area of 121 m² is 11 meters

500

A cube-shaped box has a volume of 125 cubic inches. If the box is packed full of cubes with edge lengths of 1 inch, how many cubes can fit on one face of the box?

25 cubed can fit on one face of the box