before the bell: 3-1 evaluate. 1. 10 3 2. 10 1 3. 10 4 4. 10 5 5. 10 6 1000 10 10,000 100,000...
TRANSCRIPT
Before the Bell:
3-1
Evaluate.
1. 103
2. 101
3. 104
4. 105
5. 106
1000
10
10,000
100,000
1,000,000
I can
Today’s learning Target:
3-1
• simplify expressions with negative exponents
• evaluate the zero exponent.
2-5 Equations, Tables, and Graphs
Vocabulary
Integer Exponent
Zero Exponent
3-1
2-5 Equations, Tables, and Graphs
Look for a pattern in the table to extend what you know about exponents to include negative exponents.
÷ 10 ÷ 10 ÷ 10 ÷ 10
102 101 100 10–1 10–2
10 • 10
100
10
10 1
1 110
110
= 0.1
110 • 10
1100
= 0.01
3-1Don’t try to copy this, just look for patterns.
2-5 Equations, Tables, and Graphs
Example 1
Simplify. Write in decimal form.
A. 10–2
10–2 = 1
10 • 10
= 1100
= 0.01
B. 10–1
= = 0.1110
= 110
3-1
2-5 Equations, Tables, and Graphs
Example 2
10–8
=1
100,000,000
= 1
10 • 10 • 10 • 10 • 10 • 10 • 10 • 10
= 0.00000001
Simplify. Write in decimal form.
3-1
2-5 Equations, Tables, and Graphs
Example 4
10–9
= 11,000,000,000
= 110 • 10 • 10 • 10 • 10 • 10 • 10 • 10 • 10
= 0.000000001
3-1
2-5 Equations, Tables, and Graphs
5–3
Example 5
Simplify.
3-1
2-5 Equations, Tables, and Graphs
(–10)–3
Example 6
Simplify.
1–10 • –10 • –10
–1000 1
= –0.001
3-1
2-5 Equations, Tables, and Graphs
(–7)–4
Example 7
Simplfy.
1 –7
4
1
–7 • –7 • –7 • –7
2401 1
3-1
2-5 Equations, Tables, and Graphs
4–2
Example 8
Simplify.
41 2
14 • 4
161
3-1
2-5 Equations, Tables, and Graphs
Subtract inside the parentheses.
Evaluate 5 – (6 – 4)–3 + (– 2)0.
Evaluate the exponents.
Example 9
5 – (6 – 4)–3 + (–2)0
= 5 – (2)–3 + (–2)0
= 5 – + 1 1 8
= 5 7 8
Add and subtract from left to right.
3-1
2-5 Equations, Tables, and Graphs
Subtract inside the parentheses.
Evaluate 3 + (7 – 4)–2 + (–8)0.
Evaluate the exponents.
Example 10
3 + (7 – 4)–2 + (–8)0
= 3 + (3)–2 + (–8)0
= 3 + + 1 1 9
= 4 1 9
Add.
3-1
2-5 Equations, Tables, and Graphs
Did you master today’s learning target?
Prove it with a six question quiz.
3-1
2-5 Equations, Tables, and Graphs
Lesson Quiz
Evaluate the powers of 10.
1. 10–3 0.001
2. 10–7 0.0000001
Evaluate.
3. (–6)–2
4. 4 • 2–3 +10–1
1 36 3
5
2-5 Equations, Tables, and Graphs
Assignment:
Section 3-12 – 40 evens
See me about making up the chapter 2 test!