Multiplication and Division of Scientific Notation

Multiplication and Division of Scientific Notation

Unit 1 - Lesson 3

Multiplication in Scientific Notation

BUT FIRST...

Multiple Choice

 $Simplify:\ 3x^2\ \cdot\ 4x^5$  

•  $7x^7$  

•  $12x^7$  

•  $7x^{10}$  

•  $12x^{10}$  

Remember when multiplied powers?

First we MULTIPLY the coefficients and then we apply the product rule:

When you multiply powers with the same base you keep the base and ADD the exponents

What about scientific notation?

Actually its exactly the same thing!!

Multiple Choice

 $Simplify:\ 3\times10^2\ \cdot\ 4\times10^5$  

•  $7\times10^7$  

•  $12\times10^{10}$  

•  $7\times10^{10}$  

•  $12\times10^7$  

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 x 10⁵)(1 x 10^-2)

• 3 x 10³
• 3 x 10⁷
• -3 x 10³
• -3 x 10^-10

Multiple Choice

Multiply:
(2 x 10^-9)(-4 x 10^-8)

• 8 x 10^-17
• 8 x 10^-1
• -8 x 10¹⁷
• -8 x 10^-17

Multiple Choice

Find the product. Write your answer in proper scientific notation.

(5 x 10⁶)(3 x 10⁸)

• 15 x 10¹⁴

• 1.5 x 10¹⁴

• 1.5 x 10¹⁵

• 1.5 x 10¹³

Division in Scientific Notation

BUT FIRST...

Multiple Choice

 $Simplify:\ \frac{6x^8}{2x^4}$  

•  $3x^4$  

•  $4x^4$  

•  $3x^2$  

•  $4x^2$  

Remember when we divided powers?

First we DIVIDE the coefficients and then we apply the quotient rule:

When you divide powers with the same base you keep the base and SUBTRACT the exponents

Multiple Choice

 $Simplify:\ \frac{6\times10^8}{2\times10^4}$  

•  $3\times10^2$  

•  $4\times10^4$  

•  $3\times10^4$  

•  $4\times10^2$  

Multiple Choice

(8 x 10⁵⁵) ÷ (2 x 10⁵²)

• 6 x 10³

• 4 x 10³

• 4 x 10¹⁰⁷

• 4 x 10⁵⁵

Multiple Choice

Solve:
 $\frac{(9\times10^{-6})}{(3\times10^{-3})}$  

•  $27\times10^{-9}$  

•  $3\times10^{-3}$  

•  $3\times10^{-9}$  

•  $27\times10^{-3}$  

Multiple Choice

 $\frac{(6.9\times10^7)}{\left(2.3\times10^{-3}\right)}$  

Divide:
(6.9 x 107) / (2.3 x 10-3)

•  $3\times10^{10}$  

•  $3\times10^4$  

•  $3\times10^{-4}$  

•  $4.6\times10^{10}$  

Multiple Choice

Find the quotient. Write your answer in proper scientific notation.

2 x 10⁸ ÷ 8 x 10⁴

• 0.25 x 10⁴

• 4 x 10⁴

• 2.5 x 10³

• 2.5 x 10²