Warm - Up How can you add eight 8's to get the number 1,000? (only use addition!) Write the...

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Warm - Up How can you add eight 8's to get the number 1,000? (only use addition!) Write the expression for the volume of a thick crust pizza with height "a" and radius "z".

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Exponentials Rules Review

Transcript of Warm - Up How can you add eight 8's to get the number 1,000? (only use addition!) Write the...

Page 1: Warm - Up How can you add eight 8's to get the number 1,000? (only use addition!) Write the expression for the volume of a thick crust pizza with height.

Warm - Up• How can you add eight 8's to get the number 1,000? (only

use addition!)

• Write the expression for the volume of a thick crust pizza with height "a" and radius "z".

Page 2: Warm - Up How can you add eight 8's to get the number 1,000? (only use addition!) Write the expression for the volume of a thick crust pizza with height.

ExponentialsRules Review

Page 3: Warm - Up How can you add eight 8's to get the number 1,000? (only use addition!) Write the expression for the volume of a thick crust pizza with height.

Objectives

• Students will be able to add, subtract, multiply and divide values (with variables) with exponents• Including when exponents are negative and/or

rational

Page 4: Warm - Up How can you add eight 8's to get the number 1,000? (only use addition!) Write the expression for the volume of a thick crust pizza with height.

Adding Variables With Exponents

• When adding variables with exponents, what happens to the exponents?• Example: • Example: • Example:

Page 5: Warm - Up How can you add eight 8's to get the number 1,000? (only use addition!) Write the expression for the volume of a thick crust pizza with height.

Subtracting Variables With Exponents

• When subtracting variables with exponents, what happens to the exponents?• Example: • Example: • Example: • Example:

Page 6: Warm - Up How can you add eight 8's to get the number 1,000? (only use addition!) Write the expression for the volume of a thick crust pizza with height.

Multiplying Variables With Exponents

• When multiplying variables with exponents, what happens to the exponents?• Example: • Example: • Example:

Page 7: Warm - Up How can you add eight 8's to get the number 1,000? (only use addition!) Write the expression for the volume of a thick crust pizza with height.

Dividing Variables With Exponents

• When dividing variables with exponents, what happens to the exponents?• Example:

• Example:

• Example:

• Example:

Page 8: Warm - Up How can you add eight 8's to get the number 1,000? (only use addition!) Write the expression for the volume of a thick crust pizza with height.

Dividing w/ Exponents (cont.)Explanation of why anything to the zero power is one:

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Page 9: Warm - Up How can you add eight 8's to get the number 1,000? (only use addition!) Write the expression for the volume of a thick crust pizza with height.

Raising Variables To A Power

• When raising variables with exponents to a power what happens to the exponents?• Example:

• Example:

• Example:

• Example:

Page 10: Warm - Up How can you add eight 8's to get the number 1,000? (only use addition!) Write the expression for the volume of a thick crust pizza with height.

Negative Exponents• When a variable is being raised to a negative

power/exponent, what happens?• Example:

• Example:

• Example: • Example:

• Example:

Page 11: Warm - Up How can you add eight 8's to get the number 1,000? (only use addition!) Write the expression for the volume of a thick crust pizza with height.

Rational Exponents

Page 12: Warm - Up How can you add eight 8's to get the number 1,000? (only use addition!) Write the expression for the volume of a thick crust pizza with height.

ClosureSimplify the following expressions: