8th Grade Exponents and Scientific Notation

Exponent Fun

100

Write the expression using exponents.

x*x*x

x^3

200

Evaluate each expression.

(-4)^3

-64

300

Write each exponent using a positive power.

(4)^-3

1/((4)^3)

400

Write the fraction as an expression using negative exponent.

(y^2)^3

y^6

500

Evaluate each expression if x=4.

x^2 - 6 + x^4

266

Fun Exponents

100

Find each product. Express using positive exponents.

m^3*m^6

m^9

200

Find each quotient. Express using positive exponents.

k^10/k^4

k^6

300

Find each product. Express using positive exponents.

x^8*x

x^9

400

Find each product. Express using positive exponents.

(5a^-3)(6a^4)

30a

500

Find each quotient. Express using positive exponents.

9^4/9^5

1/9

Surprise!

100

NO CALCULATOR: 

express the following decimal as a fraction 3/8

.375

200

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 along one side of the box?

5 cubes

300

What is the side length, s, of the square?  A = 169 meters squared

13 meters

400

Classify each number as rational or irrational. 

pi    5.3    square root of 8    square root of 36    -3/7

rational : 5.3    square root of 36   -3/7

irrational :  pi    square root of 8

500

Taj asked 27 classmates whether they know how to write calligraphy. He used a calculator to compare the number of classmates who said yes to the total number he surveyed. The calculator showed the result as 0.1111111111. 

Write this number as a fraction!

BONUS: How many students know how to write in calligraphy?

1/9     3 students 

Sci-Fi

100

Express each number in standard form.

5.82 xx 10^3

5820

200

Express each number in standard form.

1.1 xx10^-4

0.00011

300

Express each number in scientific notation.

47,000

4.7xx10^4

400

Express each number in scientific notation. 

0.0072

7.2xx10^-3

500

Order each set  of numbers from least to greatest.

7.35xx10^4, 1.7xx10^-6, 8.26xx10^3, 9.3xx10^-2

1.7xx10^-6, 9.3xx10^-2, 8.26xx10^3, 7.35xx10^4

calculATE

100

Evaluate each expression. Express the result in scientific notation.

(4.45xx10^9)(1.3xx10^6)

5.785xx10^15

200

Evaluate each expression. Express the result in scientific notation.

(5.85xx10^5)/(3.9xx10^-6)

1.5xx10^11

300

Solve using Scientific Notation

(8.4xx10^11)-(9.2xx10^10)

7.48xx10^11

400

Evaluate each expression. Express the result in scientific notation.

(0.042)(3.15xx10^4)

1.323xx10^3

500

Solve using Scientific Notation ((9.6xx10^20)(3xx10^6))/(2xx10^5)

8.9367 xx 10^-2