measurement
a. 726,444.0
b. 44585
c. 123.64
d. 0.0200
e. 0.09000333
f. 59.60
g. 0.0008
h. 5776.8
i. 532.067
j. 0.000020
scientific notation
number of significant figures
the values on the third column.
and each of the following numbers to three significant figures.

Question

Accepted Answer

### Part a: 726444.0
# Explanation:
## Step1: Convert to scientific notation
To convert 726444.0 to scientific notation, we move the decimal point 5 places to the left, so we get $7.26444 \times 10^{5}$.
## Step2: Count significant figures
All non - zero digits and the trailing zero after the decimal are significant. So, 7, 2, 6, 4, 4, 4, 0 are significant. The number of significant figures is 7.
# Answer:
Scientific Notation: $7.26444\times10^{5}$
Number of Significant Figures: 7

### Part b: 44585
# Explanation:
## Step1: Convert to scientific notation
Move the decimal point 4 places to the left: $4.4585\times 10^{4}$
## Step2: Count significant figures
All the digits 4, 4, 5, 8, 5 are significant. So the number of significant figures is 5.
# Answer:
Scientific Notation: $4.4585\times10^{4}$
Number of Significant Figures: 5

### Part c: 123.64
# Explanation:
## Step1: Convert to scientific notation
Move the decimal point 2 places to the left: $1.2364\times 10^{2}$
## Step2: Count significant figures
The digits 1, 2, 3, 6, 4 are significant. So the number of significant figures is 5.
# Answer:
Scientific Notation: $1.2364\times10^{2}$
Number of Significant Figures: 5

### Part d: 0.0200
# Explanation:
## Step1: Convert to scientific notation
The first non - zero digit is 2. We move the decimal point 2 places to the right, so we get $2.00\times 10^{- 2}$
## Step2: Count significant figures
The digits 2, 0, 0 are significant (the leading zeros are not significant, but the trailing zeros after the non - zero digit are significant). So the number of significant figures is 3.
# Answer:
Scientific Notation: $2.00\times10^{-2}$
Number of Significant Figures: 3

### Part e: 0.09000333
# Explanation:
## Step1: Convert to scientific notation
The first non - zero digit is 9. We move the decimal point 2 places to the right, so we get $9.000333\times 10^{-2}$
## Step2: Count significant figures
The digits 9, 0, 0, 0, 3, 3, 3 are significant. So the number of significant figures is 7.
# Answer:
Scientific Notation: $9.000333\times10^{-2}$
Number of Significant Figures: 7

### Part f: 59.60
# Explanation:
## Step1: Convert to scientific notation
Move the decimal point 1 place to the left: $5.960\times 10^{1}$
## Step2: Count significant figures
The digits 5, 9, 6, 0 are significant (the trailing zero after the decimal is significant). So the number of significant figures is 4.
# Answer:
Scientific Notation: $5.960\times10^{1}$
Number of Significant Figures: 4

### Part g: 0.0008
# Explanation:
## Step1: Convert to scientific notation
The first non - zero digit is 8. We move the decimal point 4 places to the right, so we get $8\times 10^{-4}$ (or $8.0\times10^{-4}$ if we consider one significant figure, but the original number has one significant figure as the trailing zeros before the non - zero digit are not significant)
## Step2: Count significant figures
Only the digit 8 is significant. So the number of significant figures is 1.
# Answer:
Scientific Notation: $8\times10^{-4}$
Number of Significant Figures: 1

### Part h: 5776.8
# Explanation:
## Step1: Convert to scientific notation
Move the decimal point 3 places to the left: $5.7768\times 10^{3}$
## Step2: Count significant figures
The digits 5, 7, 7, 6, 8 are significant. So the number of significant figures is 5.
# Answer:
Scientific Notation: $5.7768\times10^{3}$
Number of Significant Figures: 5

### Part i: 532.067
# Explanation:
## Step1: Convert to scientific notation
Move the decimal point 2 places to the left: $5.32067\times 10^{2}$
## Step2: Count significant figures
The digits 5, 3, 2, 0, 6, 7 are significant. So the number of significant figures is 6.
# Answer:
Scientific Notation: $5.32067\times10^{2}$
Number of Significant Figures: 6

### Part j: 0.000020
# Explanation:
## Step1: Convert to scientific notation
The first non - zero digit is 2. We move the decimal point 5 places to the right, so we get $2.0\times 10^{-5}$
## Step2: Count significant figures
The digits 2, 0 are significant (the leading zeros are not significant, the trailing zero after the non - zero digit is significant). So the number of significant figures is 2.
# Answer:
Scientific Notation: $2.0\times10^{-5}$
Number of Significant Figures: 2

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QUESTION IMAGE

Question

Explanation:

Part a: 726444.0

Step1: Convert to scientific notation

Step2: Count significant figures

Step1: Convert to scientific notation

Step2: Count significant figures

Step1: Convert to scientific notation

Step2: Count significant figures

Answer:

Part b: 44585