Question

10.) directions: identify how many significant digits are in each of the following measurements. (4 points)
a.) 187.032 g=
b.) 0.0601 m³=
c.) 1.30×10⁻¹² kg=
d.) 620 ml=

Explanation:

Step1: Rule for non - zero digits

Non - zero digits are always significant. In 187.032, all 6 digits (1, 8, 7, 0, 3, 2) are significant.

Step2: Rule for leading zeros

Leading zeros (zeros before non - zero digits) are not significant. In 0.0601, only 6, 0, 1 are significant, so 3 significant digits.

Step3: Rule for scientific notation

In scientific notation \(a\times10^{n}\), the digits in \(a\) are significant. In \(1.30\times 10^{- 12}\), 1, 3, 0 are significant, so 3 significant digits.

Step4: Rule for trailing zeros without decimal

Trailing zeros in a number without a decimal point may or may not be significant. In 620, assuming no other context, only 6 and 2 are significant, so 2 significant digits.

Answer:

a. 6
b. 3
c. 3
d. 2