Half-Life Calculations and Shortcut Methods

The video tutorial explains how to solve a half-life word problem. It begins by identifying the half-life of a substance, the original amount, and the time period in question. The tutorial then demonstrates how to calculate the number of half-lives by dividing the total time by the half-life duration. It explains the process of repeatedly dividing the original amount by two for each half-life. A shortcut method using an equation is introduced to simplify the calculation, which involves multiplying the original amount by one-half raised to the number of half-lives.

What is the half-life of plutonium in bone as mentioned in the problem?

• 500 years

• 200 years

• 100 years

• 50 years

What is the original amount of plutonium given in the problem?

• 800 grams

• 500 grams

• 600 grams

• 703 grams

How long is the time period in question for the decay of plutonium?

• 1000 years

• 700 years

• 500 years

• 100 years

How do you calculate the number of half-lives an object goes through?

• Multiply the total time by the half-life time

• Divide the total time by the half-life time

• Subtract the half-life time from the total time

• Add the total time to the half-life time

If the total time is 700 years and the half-life is 100 years, how many half-lives occur?

• 5

• 6

• 7

• 8

What is the first step in dividing the original amount by two for each half-life?

• Multiply the original amount by two

• Add two to the original amount

• Divide the original amount by two

• Subtract two from the original amount

How many times do you divide the original amount by two if there are seven half-lives?

• 5 times

• 6 times

• 7 times

• 8 times

What is the shortcut method to calculate the remaining amount after several half-lives?

• Divide the original amount by two raised to the number of half-lives

• Multiply the original amount by one-half raised to the number of half-lives

• Multiply the original amount by two raised to the number of half-lives

• Divide the original amount by one-half raised to the number of half-lives

What is the equation used in the shortcut method?

• Original amount times one-half to the power of half-lives

• Original amount divided by one-half to the power of half-lives

• Original amount times two to the power of half-lives

• Original amount divided by two to the power of half-lives

Why is the shortcut method useful?

• It eliminates the need for a calculator

• It provides an exact answer without any calculations

• It saves time by reducing the number of divisions

• It requires no calculations