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Core Connections: Course 3

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Core Connections: Course 3 View details

2. Section 8.2

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Exercise 109 Page 373

Practice makes perfect

We want to evaluate the given product. Let's use the Commutative Property of Multiplication and the Product of Powers Property.

(3* 10^2)(2* 10^3)

Remove parentheses

3* 10^2 * 2* 10^3

CommutativePropMult

Commutative Property of Multiplication

3* 2 * 10^2 * 10^3

Multiply

6 * 10^2 * 10^3

a^m*a^n=a^(m+n)

6 * 10^(2+3)

Add terms

6 * 10^5

Our result is already written in scientific notation!

We are asked to evaluate the given product. Again, we can do this by using the Commutative Property of Multiplication and the Product of Powers Property.

(2.75* 10^(- 2))(2.5* 10^8)

Remove parentheses

2.75* 10^(- 2)* 2.5* 10^8

CommutativePropMult

Commutative Property of Multiplication

2.75* 2.5 * 10^(- 2)* 10^8

Multiply

6.875 * 10^(- 2)* 10^8

a^m*a^n=a^(m+n)

6.875 * 10^(- 2+8)

Add terms

6.875 * 10^6

Our result is already written in scientific notation!

We want to evaluate the given quotient. Let's use the Quotient of Powers Property.

8* 10^(12)/4* 10^7

Write as a product of fractions

(8/4) ( 10^(12)/10^7 )

Calculate quotient

2( 10^(12)/10^7 )

a^m/a^n= a^(m-n)

2* 10^(12-7)

Subtract term

2 * 10^5

Our result is already written in scientific notation!

Subchapter links

8.2.1 Exponents and Scientific Notation p.356-358

8.2.2 Exponents Rules p.361-362

8.2.3 Negative Exponents p.367-370

8.2.4 Operations with Scientific Notation p.373-374