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Published byTurgay Suvari Modified over 6 years ago
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DO NOW 1). (6 – 2) – 2 x – 10 = 2). 15 – 4 + 7 x 2 + -9 = Exponents
Combine the following terms: 1). (6 – 2) – 2 x – 10 = 2). 15 – x =
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THINK: 30 Seconds WRITE: 30 Seconds What is an exponent?
THOUGHT QUESTION THINK: 30 Seconds WRITE: 30 Seconds What is an exponent? AP
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What are we doing Today OBJECTIVE: WE WILL be able to write and solve exponential equations ESSENTIAL UNDERSTANDING: Multiplication is repeated addition; exponents are repeated multiplication. AP
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Exponent Vocabulary Remember Base and Power! - A base to the second power is sometimes called “squared”. 42 is four “squared”. - A base to the third power is sometimes called “cubed”. 53 is five “cubed”. AP
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Writing Exponents Let’s do these together: Write the following exponents 1). 6 x 6 x 6 x 6 = 2). 8 x 8 x 8 = 3). 5 x 5 x 5 x 5 x 5 = 4). 3 x 3 = AP
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Independently: Write the following exponents
1). 2 x 2 x 2 x 2 = 2). 9 x 9 x 9 x 9 x 9 = 3). 4 x 4 x 4 x 4 x 4 x 4 = 4). 6 x 6 = AP
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Multiplication vs Exponents
Multiplication is repeated addition: 4 x 2 = = 8 4 x 5 = = 20 Exponents are repeated multiplication: 42 = 4 x 4= = 4 x 4 x 4 x 4 x 4 = 1024 AP
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Solve the Following Exponents
Let’s do these together: Solve the following exponents 1). 23 = 2). -42 = 3). 54 = 4). 33 = AP
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Independently: Solve the following exponents
1). 22 = 2). -23 = 3). 33 = 4). 43 = AP
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Multiplying Exponents with the SAME BASE
When multiplying exponents with the SAME BASE, add the powers. Examples: 44 x 410 = = x 22 = = 25 AP
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Independently: Multiply the following exponents
1). 22 X 219 = 2). 83 X 85 = 3). 32 X 26 = 4). 44 X 41 = AP
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Dividing Exponents with the SAME BASE
When dividing exponents with the SAME BASE, subtract the powers. Examples: 38 ÷ 32 = 38-2 = ÷ 22 = 25 AP
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Independently: Multiply the following exponents
1). 29 ÷ 24 = 2). 86 ÷ 81 = 3). 312 ÷ 33 = 4) ÷ 411 = AP
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Let’s Solve in the Order of Operations
1) (6+ 3) x 5 = 2). 4 x 4 – (6 - 22) = 3). (18 – 32) x 2 x 4 = 4). 15 ÷ 3 + (4 x 22) = AP
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Try These Independently
5). 8 – 22 x 6 + (9 -1) = 6). (10 – 23) x 2 x 4 = 7) ÷ 2 x 4 =
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