Question

directions: indicate the correct number of significant figures in the following numbers.

1. 967
2. 967,000
3. 3.0 x 10²
4. 0.00306
5. 304
6. 51.0
7. 6.020 x 10⁻²
8. 0.000578

Explanation:

Problem 13: 967

Step1: Identify non - zero digits

All digits (9, 6, 7) are non - zero. Non - zero digits are always significant.

Step2: Count the non - zero digits

There are 3 non - zero digits.

Step1: Identify significant digits

The non - zero digits 9, 6, 7 are significant. The trailing zeros in a whole number without a decimal point may or may not be significant. In 967,000, the trailing zeros are just placeholders (assuming no indication that they are significant), so we only count the non - zero digits.

Step2: Count the significant digits

There are 3 significant digits (9, 6, 7).

Step1: Analyze the number

In scientific notation \(a\times10^{n}\), the significant figures are in the coefficient \(a\). Here, \(a = 3.0\).

Step2: Count significant figures in the coefficient

The digit 3 is non - zero and significant, and the zero after the decimal in 3.0 is also significant (because it shows the precision). So there are 2 significant figures.

Answer:

3

Problem 14: 967,000