Understanding Scientific Notation and Distance Calculation

The video tutorial explains how to calculate the distance between the Sun and the Earth using the speed of light and time taken for light to travel. It demonstrates the use of scientific notation to simplify calculations and ensure the final answer is in the correct format. The tutorial emphasizes the properties of multiplication and the importance of expressing numbers in proper scientific notation.

What is the speed of light as given in the problem?

• 3 times 10 to the eighth meters per second

• 5 times 10 to the eighth meters per second

• 3 times 10 to the seventh meters per second

• 5 times 10 to the seventh meters per second

How long does it take for light to travel from the Sun to the Earth?

• 5 times 10 to the second seconds

• 3 times 10 to the second seconds

• 3 times 10 to the third seconds

• 5 times 10 to the third seconds

What is the formula used to calculate the distance in this problem?

• Distance = Speed x Time

• Distance = Time / Speed

• Distance = Speed + Time

• Distance = Speed / Time

What is the product of 3 times 10 to the eighth and 5 times 10 squared?

• 15 times 10 to the ninth

• 15 times 10 to the tenth

• 15 times 10 to the eleventh

• 15 times 10 to the eighth

What property of multiplication allows rearranging the numbers in scientific notation?

• Identity property

• Distributive property

• Associative property

• Commutative property

What is the simplified form of 10 to the eighth times 10 squared?

• 10 to the twelfth

• 10 to the tenth

• 10 to the ninth

• 10 to the eleventh

Why is the number 15 not considered proper scientific notation?

• Because it is a whole number

• Because it is greater than 10

• Because it is less than 10

• Because it is equal to 10

How can 15 be rewritten to fit proper scientific notation?

• 150 times 0.1

• 15 times 1

• 0.15 times 100

• 1.5 times 10

What is the final scientific notation for the distance between the Sun and the Earth?

• 1.5 times 10 to the eleventh meters

• 15 times 10 to the tenth meters

• 1.5 times 10 to the tenth meters

• 15 times 10 to the eleventh meters

What is the importance of ensuring the coefficient in scientific notation is less than 10?

• To adhere to the standard form of scientific notation

• To make calculations easier

• To reduce the number of digits

• To increase accuracy