Mastering Significant Figures in Calculations

The video tutorial by Mr. Millings covers the concept of significant figures, explaining their importance in scientific data reporting. It details the rules for counting significant figures, including non-zero integers, leading zeros, captive zeros, and trailing zeros. The tutorial provides examples to illustrate these rules and discusses how to apply significant figures in mathematical calculations, such as addition, subtraction, multiplication, and division, ensuring precision in scientific measurements.

Why are significant figures important in scientific data reporting?

• They are used to round off numbers.

• They make the data look more complex.

• They indicate the precision of the measurement.

• They help in converting units.

Which of the following numbers has the correct number of significant figures if the scale is precise to the thousandths place?

• 1.2 grams

• 1.23 grams

• 1.234 grams

• 1.2345 grams

Which of the following is always considered significant?

• Leading zeros

• Zeros between non-zero integers

• Trailing zeros without a decimal

• Non-zero integers

How many significant figures are in the number 0.00456?

• 3

• 2

• 4

• 5

How many significant figures are in the number 1,000,000 if written as 1,000,000.0?

• 7

• 6

• 2

• 1

If you have 500 cars, how many significant figures does this number have?

• 1

• 2

• 3

• Unlimited

When adding 32.232 and 12.2, to how many decimal places should the result be rounded?

• 1

• 2

• 3

• 4

When multiplying 72.23 by 2.0, how many significant figures should the result have?

• 4

• 3

• 2

• 1

What is the correct result of dividing 155.32 by 4.2, rounded to the appropriate number of significant figures?

• 36.98

• 37.0

• 37

• 36.981

When adding 399.2978 and 3.23, to how many decimal places should the result be rounded?

• 3

• 2

• 1

• 4