1. determine the number of significant figures in each measurement. a. 508.0 l b. 820,400.0 l c. 1.0200 ×…

Explanation:

Step1: Identify significant - figure rules

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

Step2: Analyze 508.0 L

The non - zero digits 5, 8 are significant. The zero between 5 and 8 is significant, and the trailing zero after the decimal is significant. So there are 4 significant figures.

Step3: Analyze 820,400.0 L

The non - zero digits 8, 2, 4 are significant. The zero between 2 and 4 is significant, and the trailing zeros after the decimal are significant. So there are 6 significant figures.

Step4: Analyze 1.0200×10⁵ kg

In scientific notation, we consider the digits in the coefficient. The non - zero digits 1, 2 are significant. The zeros between 1 and 2 and the trailing zeros after 2 are significant. So there are 5 significant figures.

Step5: Analyze 807,000 kg

The non - zero digits 8, 7 are significant. The zero between 8 and 7 is significant. The trailing zeros are not significant as there is no decimal point. So there are 3 significant figures.

Answer:

a. 4 b. 6 c. 5 d. 3