Scientific Notation Review

Scientific Notation Review

You need to be able to

-write #s in SN

-write #s in expanded form

-compare #s

-multiply in SN

-divide in SN

Scientific Notation

•  $a\times10^n$  

• n is an integer

•  $1\le a<10$  

Multiple Select

Select all that are correctly written in scientific notation.

• 56.7 x 10³

• 3.4 x 10^-4

• 5 x 10^-99

• 10⁵

• 3.75 x 10

Multiple Choice

UNDERSTANDING

If the exponent is a negative number...

• you will get a large number

• you will get a small number

Multiple Choice

UNDERSTANDING

If the exponent is a positive number...

• you will get a large number

• you will get a smaller number

Writing in Scientific Notation

Multiple Choice

The average width of a piece of human hair is .0001m. What is this measurement in scientific notation?

• 1 x 10⁴

• 1 x 10^-4

• 10 x 10^-5

• 1 x 10^-3

Multiple Choice

In Australia, the people use approximately 2,240,000,000 pounds of bread in a year. How can we write this number in scientific notation?

• 2.240 x 10^-9

• 224 x 10⁶

• 2.2 x 10⁶

• 2.240 x 10⁹

Multiple Choice

How would you write 0.0005 in scientific notation?

• 50 x 10⁵
• 5 x 10⁴
• 5 x 10³
• .5 x 10³

Multiple Choice

How would you write 564,000,000 in scientific notation?

• 5.64 x 10^-7
• 5.64 x 10⁶
• 5.64 x 10⁸
• 56.4 x 10⁷

Comparing Numbers in Scientific Notation

• if the exponents are the different, the bigger the exponent the bigger the number

• If the exponents are the same, the bigger the coefficient, the bigger the number

Multiple Choice

Which is the largest?

4.8 x 10^-6

1.3 x 10²⁰

3.1 x 10^-4

9.2 x 10^-5

9.5 x 10³²

5.9 x 10^-5

2.9 x 10²¹

8.4 x 10¹⁹

• 9.5 x 10³²

• 3.1 x 10^-4

• 8.4 x 10¹⁹

• 4.8 x 10^-6

Multiple Choice

Which is the largest?

4.8 x 10^-6

1.3 x 10²⁰

3.1 x 10^-4

9.2 x 10^-5

9.5 x 10³²

5.9 x 10^-5

2.9 x 10²¹

8.4 x 10¹⁹

• 9.5 x 10³²

• 3.1 x 10^-4

• 8.4 x 10¹⁹

• 4.8 x 10^-6

Multiple Choice

Which is the smallest?

1.3 x 10²⁰

2.9 x 10²¹

9.5 x 10³²

8.4 x 10¹⁹

• 1.3 x 10²⁰

• 2.9 x 10²¹

• 9.5 x 10³²

• 8.4 x 10¹⁹

Multiple Choice

Identify the greater number in each pair:

1.25 x 10^-3 and 1.28 x 10^-5

• 1.25 x 10^-3

• 1.28 x 10^-5

Multiple Choice

Identify the greater number in each pair:

4.8 x 10^-7 and 8.8 x 10^-7

• 4.8 x 10^-7

• 8.8 x 10^-7

Multiple Choice

Identify the greater number in each pair:

9.9 x 10¹⁰ and 9.6 x 10¹¹

• 9.9 x 10¹⁰

• 9.6 x 10¹¹

Multiple Choice

Identify the greater number in each pair:

5.8 x 10⁵ and 8.5 x 10³

• 5.8 x 105

• 8.5 x 10³

Multiple Choice

The table shows the mass in grams of one atom of each of several elements. List the elements in order from the least mass to greatest mass per atom.

• hydrogen, carbon, oxygen, silver, gold

• hydrogen, oxygen, gold, siver, carbon

• carbon, oxygen, silver, gold, hydrogen

• gold, oxygen, carbon, silver, hydrogen

Multiplying and Dividing in Scientific Notation

• multiplying: multiply the coefficients and ADD the exponents

• dividing: divide the coefficients and SUBTRACT the exponents

Multiple Choice

Solve:

(2.1×10​²​​) × (3.0×10​⁴)

• 5.1 x 10²

• 6.3 x 10⁶

• 5.1 x 10⁶

• 6.3 x 10⁸

Multiple Choice

Multiply:

(3.4 x 10⁵)(1.2 x 10^-3)

• 4.08 x 10^-8

• 4.8 x 10²

• 4.08 x 10²

• 4.08 x 10^-15

Multiple Choice

Solve:

(6 x 10⁶) / (2 x 10³)

• 12 x 10³

• 3 x 10⁹

• 1.2 x 10⁴

• 3 x 10³

Multiple Choice

Divide:

(6.9 x 10⁷) / (2.3 x 10^-3)

• 3 x 10¹⁰

• 3 x 10⁴

• 3 x 10^-4

• 3 x 10^-11

Multiple Choice

There are approximately 3.1 x 10⁸ people in the United States. If each person has 4.1 x 10¹ coins, how many coins are there altogether?

• 1.271 x 10¹⁰

• 1.271 x 10⁹

• 1.271 x 10¹¹

• 1.271 x 10⁸

Multiple Choice

The state of Colorado covers about 1.04 × 10⁵ square miles. The Indian Ocean covers about 2.808 × 10⁷ square miles. How many times bigger than Colorado is the Indian Ocean?

• 2.7x10²

• 3.8x10¹²

• 7.98x10²

• 3.6x10²

Multiple Choice

Students at Salt Lake Community College pay 1.585 ×10⁴ dollars for tuition. Students at George Washington University pay 4.573 ×10⁵ dollars. How many times greater is the tuition at George Washington?

• 2.89x10¹

• 2.9x10²

• 5.89x10¹

Multiple Choice

The population of Crowded Town is 4 × 10⁶ and the population of Empty Village is 8 × 10³. How many times the population of Empty Village is Crowded Town?

• 3.2 x 10¹⁰

• 500

• .002

• 2