Solve the problems. express your answers to the correct number of significant figures

a) 2.92

b) 6.47 × 10⁵

Let's solve this:

In multiplication  and division problems, your answer can have no more significant figures than the number with the fewest significant figures.

Division:

(by calculator)  

There are three significant figures in 2.31 and three in 0.790.

You must round to three significant figures and report the answer as 2.92.

Multiplication:

There are three significant figures in 2.08 and three in 3.11.

You must round to three significant figures.

The digit to the right of the rounded number is greater than 5, so you must round up and report the answer as .

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2.92; 6.47 × 10⁵

Step-by-step explanation:

In multiplication  and division problems, your answer can have no more significant figures than the number with the fewest significant figures.

Division:

2.31/0.790 = 2.924 050 633 (by my calculator)  

There are three significant figures in 2.31 and three in 0.790.

You must round to three significant figures and report the answer as 2.92.

Multiplication:

(2.08 × 10³) × (3.11 × 10²) = 6.468 800 000 × 10⁵

There are three significant figures in 2.08 and three in 3.11.

You must round to three significant figures.

The digit to the right of the rounded number is greater than 5, so you must round up and report the answer as 6.47 × 10⁵.

6.4 cm (max) - 25 cm (min)