Scientific Notation

Standard to Scientific

100

50,000 is standard form. What is it in Scientific?

5 x 10⁴

200

.0007403 is in standard form. What is Scientific Notation?

7.403 x 10^-4

300

37,802,000 is in standard form. What is it in Scientific Notation?

3.7802 x 10⁷

400

.000000203403 is in standard form. What is it in Scientific Notation?

2.03403 x 10^-7

500

.2000004321 is standard form. What is it in Scientific Notation?

2.000004321 x 10^-1

Scientific to Standard

100

2.504 x 10^-2 is in Scientific Notation. What would it look like in Standard form?

.02504

200

2.6 x 10⁶ is in Scientific Notation. What is it in Standard form?

2,600,000

300

5.6003 x 10^-6 is in Scientific Notation. What is it in Standard form?

.0000056003

400

4.56002 x 10¹⁴ is in Scientific Notation. What is it in Standard form?

456,002,000,000,000 

What is 456 trillion, 2 billion

500

5.9034 x 10¹⁴ is in Scientific Notation. What is it in Standard form?

590,340,000,000,000

What 590 trillion, 340 billion?

True or False

100

93.53 x 10⁵ is equal to 935,300

false

What is 9,353,000?

200

9.9468 x 10⁷ is 99,468,000

What is true?

300

3.987003 x 10^-4 is .0003987003

What is true?

thirty trillionths, seventy millionths, eight millionths, nine hundred thousandths, thirty thousandths

400

- 1.584 x 10⁸ is -158,400,000

What is false

500

5.893002 x 10¹⁰ is 58,930,020,000

What is true?

Word Problems

100

The speed of light is 3,000,000 miles/sec. What is it in scientific notation?

3 x 10⁶

200

The mass of a dust particle is scientific notation is 7.53 x 10^-10. What is it in standard form?

0.000000000753 kg.

300

$2,257,047.97 American dollar = 4,000,000 German marcs. What is the amount of German marcs in Scientific Notation

What is 4 x 10^6?

400

In a year light travels approximately 9.5 x 10¹² km and the sun is 9.2955828 x 10⁷ miles away write both in standard form.

9,500,000,000,000 kilometers and 92,955,828 miles

500

The weight of the Earth is 6,588,000,000,000,000,000,000,000 tons. What is it in Scientific Notation?

6.588 x 10²⁴

Rules and Miscelaneous

100

An easier way to write very large and very small numbers

Scientific Notation

200

When the exponent on 10 is positive the '.' goes to the left

What is false?

300

If there number has no zeros in it, it cannot be written in scientific notation. Example, 1,356,956 cannot be written in scientific notation.

What is false?

1,356,956 in scientific notation is 1.356965 x 10⁶

400

0.93 would need to be multiplied by 10, 100 or 1,000 to move the decimal out?

What is 100?

500

In scientific notation what tells me what direction the decimal point is going to move and how many places it's going to move?

What is the exponent?