Question

practice problems
determine the number of significant figures in each measurement.

1. a. 508.0 l c. 1.0200×10⁵ kg

b. 820,400.0 l d. 807,000 kg

1. a. 0.049450 s c. 3.1587×10⁻⁴ g

b. 0.000482 ml d. 0.0084 ml

1. challenge write the numbers 10, 100, and 1000 in scientific notation with two, three, and four significant figures, respectively.

Explanation:

40.

a. 508.0 L

Step1: Non - zero digits are significant

The non - zero digits 5, 0, 8 are significant.

Step2: Trailing zero after decimal is significant

The zero after the decimal is also significant.

Step1: Non - zero digits are significant

The non - zero digits 1, 2 are significant.

Step2: Zeros between non - zero digits are significant

The zero between 1 and 2 is significant.

Step3: Trailing zeros after decimal are significant

The two zeros after 2 are significant.

Step1: Non - zero digits are significant

The non - zero digits 8, 2, 4 are significant.

Step2: Zeros between non - zero digits are significant

The zero between 2 and 4 is significant.

Step3: Trailing zeros after decimal are significant

The zero after the decimal is significant.

Step4: Trailing zeros in a whole number with a decimal shown are significant

The two zeros before the decimal are also significant.

Answer:

4

c. $1.0200\times 10^{5}$ kg