361 Words1 Page

Exercises - Provide calculation steps
1. "Solve the following problems with exponents"
Answer:
a. 25
=2x2x2x2x2
=4x8
= 32
b. 3-3
= 1/33
=1/3x3x3
=1/9x3
= 1/27
c. 115
= 1x1x1x1x1x1x1x1x1x1x1x1x1x1x1
= 1
d. 02
= 0x0
= 0
e. 223/4
= 4 223
= 4 22x22x22
= 4 10648
= 4 10648
= 10.158
2. "Solve the following problems with roots"
Answer:
a. 169
= 13x13
= 13
b. 50
= 7.071 x7.071
= 7.071
c. 3 82 (Cube Root of 82)
= 3 4.344x4.344x4.344
= 4.344
From the professor
Correction to the Module 2 Case Assignment:
"Problem 2c. Solve problem with roots: "3[square root symbol]82 (Cube Root of 82)" is inconsistent: "3[square root symbol]82" rather looks like "3 times square root of 82" whereas word representation assumes (82)^(1/3)".
3. "Write the following numbers using powers of 10"
Answer
a. 10000
= 10x10x10x10
= 101x101x101x101
= 101+1+1+1
= 104
b. 0.0001
= 1/10x10x10x10
= 1/101x101x101x101
= 1/101+1+1+1
=1/104
= 10-4
c. 1
=10/10
=101/101
=10(1-1)
= 100
4. "Write the following numbers using scientific notation"
Answer
a. 5,603
= 5.603 x 1000
= 5.603 x (10x10x10)
= 5.603 x 101x101x101
= 5.603 x 101+1+1
= 5.603 x 103
b. 0.000002
= 1/2000, 000
= 1/2 x 1,000,000
= 1/2 x (10x10x10x10x10x10)
= 1/2 x (101x101x101x101x101x101)
= 1/2 x 101+1+1+1+1+1
= 1/2 x 106
= 2 x 10-6
c. 23 = 2.3 x 10 = 2.3 x 101
5. "Rewrite the following statements using logarithms":
Answer
a. 4-1=¼
=4-1= 0.25
=log0.25= -1
b.

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