Scientific Notation Test Review

​Scientific Notation Test Review

By

​Negative Exponents

​Remember if an exponent is negative, you simply just: 1.) "change levels" and...
2.) make the the exponent positive.

​For Example:
Simplify using only positive exponents.

- Notice how the exponent is positive now!

Multiple Choice

Simplify using only positive exponents: $$5^{-8}$$

• $$5^8$$

• $$\frac{1}{5^8}$$

• $$\frac{1}{5^{-8}}$$

• $$-5^8$$

Multiple Choice

Simplify using only positive exponents: $$y^{-3}$$

• $$3y$$

• $$-y^3$$

• $$\frac{1}{y^3}$$

• $$\frac{1}{y^{-3}}$$

Product Rule

When multiplying exponents with the same base

Multiple Choice

According to the exponent rules, when we multiply expressions, we _________ the exponents

• Add

• Multiply

• Subtract

• Divide

Multiple Choice

Simplify this expression to a single power.

$$x^3\ x^6$$

• $$x^9$$

• $$x^{18}$$

• $$x^3$$

• $$x^6$$

Multiple Choice

Simplify this expression to a single power.

$$7^6\ 7^4$$

• $$7^6$$

• $$7^4$$

• $$7^{10}$$

• $$7^{24}$$

Large Numbers will have Positive Exponents

Multiple Choice

Convert to scientific notation:

520,000,000

• 52 x 10⁷

• 5.2 x 10⁷

• 5.2 x 10⁸

• 0.52 x 10⁹

For any numbers that are less than 1, we write the number using a positive power of 10​.

The larger the number, the greater the exponent.

Scientific Notation: How to

Multiple Choice

How would you write 5.6 x 10^-3 in standard form?

• 0.0056

• 5,600

• 0.00056

• -0.0056

Multiple Choice

$$\frac{3.46\ \times10^{17}}{2\ \times10^9}$$  

• $$1.73×10^{28}$$  

• $$1.73×10^8$$  

• $$1.46×10^8$$  

Multiple Choice

How many times larger is 8 X 10⁷ than 2 X 10⁵?

• 4
• 4 X 10¹
• 4 X 10²
• 16

Multiple Choice

How many times larger is 3.6 X 10⁸ than 1.2 X 10³?

• 3 X 10¹¹
• 3 X 10⁵
• 3 X 10⁶

Step 2 Take..

1. Multiply the decimal numbers.

2. Add exponents.

3. Make sure you have one digit (non zero) in front of the decimal.*​

Multiple Choice

(3.25 x 10³)(7.8 x 10⁶)

• 2.535 x 10¹⁰

• 2.535 x 10¹⁸

• 2.535 x 10¹⁹

• 2.535 x 10⁹

Multiple Choice

Level 3

(220,000) x (4.5 x 10²).

• 9.9 x 10¹⁰

• 6.7 x 10⁷

• 9.9 x 10⁵

• 9.9 x 10⁷

Multiple Choice

When multiplying two powers that have the same base, you can ___________ the exponents.

• Subtract

• Divide

• Add

• Multiply

Adding and Subtracting

Multiple Choice

Add withing scientific notation 
(5.2 x 10⁷) + (3.01 x 10⁴)

• 5.20301 x 10¹¹
• .520301 x 10⁷
• 5.20301 x 10⁷
• 5.20301 x 10⁸

Multiple Choice

Give the difference of (7.2 x 10^-7) - (4.5 x 10^-7)

• 2.7 x 10^-7

• 2.7 x 10⁰

• 1.17 x 10^-7

• 3.3 x 10^-7