Exploring Unit 7 Lesson 12: Adding and Subtracting Rational Expressions

This video tutorial covers the use of powers of 10 to perform calculations with large and small numbers. It includes exercises comparing the mass of the moon to meter sticks, determining if meter sticks can reach the moon, and calculating distances in light years. An optional activity and a summary of the lesson are provided, along with homework and additional math problems.

What information is needed to compare the mass of the moon with meter sticks?

• The density of the moon and the density of a meter stick

• The volume of the moon and the volume of a meter stick

• The mass of the moon and the mass of a meter stick

• The length of a meter stick and the distance to the moon

How is the mass of a meter stick expressed as a power of 10?

• 0.2 times 10 to the -1st power

• 2 times 10 to the -1st power

• 2 times 10 to the 1st power

• 0.2 times 10 to the 1st power

What is the mass of the moon expressed in scientific notation?

• 7 times 10 to the 20th power

• 7 times 10 to the 21st power

• 7 times 10 to the 22nd power

• 7 times 10 to the 23rd power

How many meter sticks are needed to equal the mass of the moon?

• 3.5 times 10 to the 25th power

• 3.5 times 10 to the 24th power

• 3.5 times 10 to the 23rd power

• 3.5 times 10 to the 22nd power

What is the distance from the Earth to the moon in scientific notation?

• 3.8 times 10 to the 9th power

• 3.8 times 10 to the 8th power

• 3.8 times 10 to the 10th power

• 3.8 times 10 to the 7th power

Will the meter sticks reach beyond the moon if lined up end to end?

• Yes, they will reach beyond the moon

• Yes, they will reach the moon exactly

• No, they will fall short of the moon

• No, they will not reach the moon

How much farther beyond the moon will the meter sticks reach?

• 10 to the 18th power

• 10 to the 15th power

• 10 to the 10th power

• 10 to the 12th power

How many light years away would the meter sticks reach?

• 3.5 times 10 to the 9th power

• 3.5 times 10 to the 7th power

• 3.5 times 10 to the 6th power

• 3.5 times 10 to the 8th power

What is the approximate length of one light year in meters?

• 10 to the 16th meters

• 10 to the 17th meters

• 10 to the 14th meters

• 10 to the 15th meters

Which is larger: the number of meters across the Milky Way or the number of cells in all humans?

• The number of cells in all humans

• The number of meters across the Milky Way

• Both are equal

• Cannot be determined