Using Standard Form in Chemistry: Expressing Large and Small Numbers for Calculations

The video tutorial explains how to handle very large and very small numbers in chemistry by converting them into standard form. It demonstrates the process of converting numbers to standard form, multiplying them, and applying these concepts to solve a chemistry problem involving hydrogen molecules. The tutorial emphasizes the importance of standard form in avoiding calculation errors and provides a step-by-step guide to using it effectively.

What is the main challenge when using very large and very small numbers in calculations?

• They are difficult to read.

• They are not used in chemistry.

• They cannot be entered into calculators.

• They often lead to incorrect results due to miscounting zeros.

How is a very small number like 0.000000014 expressed in standard form?

• 1.4 * 10^8

• 1.4 * 10^-8

• 14 * 10^-8

• 0.14 * 10^-8

What is the standard form of the number 20,000?

• 0.2 * 10^5

• 20 * 10^3

• 2.0 * 10^4

• 2.0 * 10^3

When converting a large number to standard form, what happens to the power of 10 each time the decimal point is moved to the left?

• It becomes negative.

• It decreases by 1.

• It remains the same.

• It increases by 1.

What is the result of multiplying 2.0 * 10^4 by 1.4 * 10^-8?

• 2.8 * 10^12

• 2.8 * 10^-4

• 2.8 * 10^-12

• 2.8 * 10^4

How do you handle the indices when multiplying powers of 10?

• Divide the indices.

• Add the indices.

• Multiply the indices.

• Subtract the indices.

What is the standard form of 15 million trillion?

• 1.5 * 10^20

• 15 * 10^19

• 1.5 * 10^18

• 1.5 * 10^19

How do you convert cubic centimeters to cubic meters in standard form?

• Multiply by 10^3

• Multiply by 10^6

• Multiply by 10^-6

• Multiply by 10^-3

What is the number of hydrogen molecules in 250 cubic centimeters if there are 15 million trillion in one cubic meter?

• 3.75 * 10^13

• 3.75 * 10^15

• 3.75 * 10^14

• 3.75 * 10^16

What is the final step in converting a number in standard form back to a normal number?

• Add zeros to the end.

• Move the decimal point to the left.

• Move the decimal point to the right.

• Remove zeros from the end.