Questions: Determine the number of significant figures in the following measurements: (a) 0.0009, (b) 15,450,0, (c) 6 × 10^3, (d) 87.990, and (e) 30.42. a) Blank 1 b) Blank 2 c) Blank 3 d) Blank 4 e) Blank 5

Determine the number of significant figures in the following measurements: (a) 0.0009, (b) 15,450,0, (c) 6 × 10^3, (d) 87.990, and (e) 30.42.
a) Blank 1
b) Blank 2
c) Blank 3
d) Blank 4
e) Blank 5

Transcript text: Determinethenumberofsignificantfiguresinthefollowing measurements: (a) 0.0009 , (b) $15,450,0$,(c) $6 \times 103$, (d) 87.990 , and (e) 30.42 . a) Blank 1 b) Blank 2 c) Blank 3 d) Blank 4 e) Blank 5

Solution

Solution Steps

Step 1: Determine significant figures for 0.0009

Identify non-zero digits.
Count all digits starting from the first non-zero digit.

Step 2: Determine significant figures for 15,450,0

Identify non-zero digits.
Count all digits including zeros between non-zero digits.

Step 3: Determine significant figures for

6 \times 10^3

Identify non-zero digits in the coefficient.
Ignore the exponent as it does not affect significant figures.

Step 1: Determine significant figures for 0.0009

The first non-zero digit is 9.
There is only one non-zero digit.
Significant figures: 1

Step 2: Determine significant figures for 15,450,0

The non-zero digits are 1, 5, 4, and 5.
The trailing zero is not considered significant unless specified by a decimal point.
Significant figures: 5

Step 3: Determine significant figures for

6 \times 10^3

The coefficient is 6.
Only one non-zero digit in the coefficient.
Significant figures: 1

Final Answer

(a) $\boxed{1}$
(b) $\boxed{5}$
(c) $\boxed{1}$
(d) $\boxed{5}$
(e) $\boxed{4}$

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