Scientific Notation

Scientific Notation Form

100

Write 0.00045 in Scientific Notation

4.5 x 10^-4

200

Write 0.00032 in Scientific Notation

3.2 x 10^-4

300

Write in Standard Form 7.6 x 10^-5    

0.000076

400

A distance of 32,500,000 is written in scientific Notation. What is the correct form?

3.25 x 10⁷

500

A bacterium is 0.00000089 meters long. Write this number in scientific notation

8.9 x 10^-7

Powers of Ten

100

What is 10^-3

0.001

200

What is 10⁰

1

300

Identify the mistakes and correct them.

10^-6 = -0.00006

1/10^-6

No Negatives in decimals or fractions form

Should be a 1 and not a 6 in decimals Form.

10^-6 = 0.000001

1/10⁶

400

Write 10^-4 in 3 different ways as a fraction. 

1/10⁴

1/10000

1/10 x 1/10 x 1/10 x 1/10

500

Write 10^-5 in three different fractions forms and decimal forms.

0.00001

1/10⁵ 

1/100000

1/10x10x10x10x10

Compare and Order

100

Which number is larger

3 x 10^-3   or    6 x 10^-3

6 x 10^-3

200

Which number is smaller?

8 x 10^-2 or 5 x 10^-3

5 x 10^-3

300

Put in Ascending order:

2 x 10^-3        5 x 10^-4          7 x 10^-2    

 5 x 10^-4    

2 x 10^-3 

 7 x 10^-2    

400

Put in Descending order:

6 x 10^-1     9 x 10^-3    4 x 10^-2

6 x 10^-1  

4 x 10^-2

9 x 10^-3 

500

A student was asked to order these numbers from least to greatest. 

           2 x 10^-4     8.1 x 10^-4    5.3 x 10^-4 

                           ^{The student answered:} 

           ^{8.1 x 10-4           5.3 x 10-4            2.7 x 10-4} 

^{What mistake did the student make?}

 2 x 10^-4  

5.3 x 10^-4

8.1 x 10^-4 

All the numbers have the same exponent, so only the coefficient should be compared. 

Algebraic Expressions

100

Evaluate 3x+5 When x=4

x=17

200

Evaluate 2a -7 When a = 10

a = 13

300

Simplify 4x + 3x

7x

400

Simplify 6y - 2y + 5

4y + 5

500

Evaluate the Expression

3x + 2(4x-5)-x

When x=6

50

Vocabulary

100

A symbol that represents an unknown value in an expression, equation, or inequality

Provide an Example

Variable

2K + 3 = 5

The variable is K

200

A mathematical phrase with numbers, variables and operations but no equal sign. 

Provide an Example

Expression

3x + 5

300

A way to write very large or very small numbers using a number between 1 and 10 (But the number has to be less than 10).

Provide an Example:

Scientific Notation

400

Numbers written as 10 raised to an exponent that shows how many times 10 is multiplied by itself

Provide an Example

Powers of Ten

500

Terms that have the same variable 

Provide an Example

Like Terms

3x + 6x