Question

1. i can determine the number of significant figures in a measurement. how many significant figures are there in 30.50 cm? how many significant figures are there in 400.0 sec? how many significant figures are there in 0.000000450 g?

Explanation:

Step1: Determine significant figures for 30.50 cm

• Non - zero digits are significant.
• Zeros between non - zero digits are significant.
• Trailing zeros in a number with a decimal point are significant.

For \(30.50\), the digits \(3\), \(0\) (between \(3\) and \(5\)), \(5\), \(0\) (trailing with decimal) are significant.

Step2: Determine significant figures for 400.0 sec

• Non - zero digits are significant.
• Trailing zeros in a number with a decimal point are significant.

For \(400.0\), the digits \(4\), \(0\) (between \(4\) and the last \(0\)), \(0\) (between the first \(0\) and the last \(0\)), \(0\) (trailing with decimal) are significant.

Step3: Determine significant figures for 0.000000450 g

• Non - zero digits are significant.
• Trailing zeros in a number with a decimal point are significant.
• Leading zeros (zeros before non - zero digits) are not significant.

For \(0.000000450\), the digits \(4\), \(5\), \(0\) (trailing with decimal) are significant.

Answer:

• For \(30.50\) cm: \(4\)
• For \(400.0\) sec: \(4\)
• For \(0.000000450\) g: \(3\)