Scientific Notation Review

From standard form to Scientific Notation

100

Write the following number in scientific notation

450, 000,000

4.5 x 10^8

200

Write the following number in scientific notation

4,000,000,000

4x10^9

300

Write the following number in scientific notation

.000000632

6.32 x 10^-7

400

Write the following number in scientific notation

.00000345

3.45 x 10^-6

500

write the following number in scientific notation form

0.0000234

2.34 x 10^-5

From Scientific notation to standard form

100

Write the following number in standard form

2.54 x 10^4

25,400

200

Write the following number in standard form

6.2 x 10 ^ 7

62,000,000

300

Write the following number in standard form

3 x 10 ^ -5

.00003

400

Write the following number in standard form

7.65 x 10 ^ -6

.00000765

500

write the following number in standard form

1.0 x 10^ -5

.00001

Adding/subtracting with same exponents

100

Write the following number in scientific notation

4.53 x 10^3 + 5.2 x 10^3

9.73 x 10 ^3

200

Write the following number in scientific notation

4 x 10^-4 + 2.3 x 10^-4

6.3 x 10^ -4

300

Write the following number in scientific notation

6.32 x 10^2 - 3.2 x 10^2

3.12 x 10^2

400

Write the following number in scientific notation

3.45x10^-3 - 1.2 x 10^-3

2.25 x 10^-3

500

Add the following numbers in scientific notation form

4.31x10^5 +   2.3x10^5

6.61 x 10^5

Adding and subtracting with different exponents

100

Add the following numbers in scientific notation form

4.53 x 10^3 + 5.2 x 10^4

5.653 x 10^4

200

add the following numbers in scientific notation form

4 x 10^-3 + 2.3 x 10^-4

4.23 x 10^-3

300

Subtract the following numbers in scientific notation form

4.31x10^5  -   2.3x10^4

4.08 x 10^5

400

Write the following number in scientific notation

4 x 10^-3 - 2.3 x 10^-5

3.977 x 10^-3

500

Write the following number in scientific notation

6.32 x 10^2 - 3.2 x 10^4

-3.1368 x 10^4

Scientific Notation Knowledge

100

What is scientific notation?

It is a way to make a very large number or very small number with a lot of zeros into a small number using the ax10^b form. 

200

In the formula ax10^b, what does the letter b stand for?

B represents the exponent

300

When writing in scientific notation, how do you know how much you need to move the decimal?

You move the decimal the same places as the exponent number. 

400

What does it mean when an exponent is positive?

the number is large and we move the decimal place to the right

500

What does it mean when the exponent is negative?

The number is small and we move the decimal place to the left.