Exploring Powers of 10 and Exponents

This video tutorial covers the multiplication and division of decimals by powers of ten, introduces exponents, and explains their use in calculations. The lesson begins with a review of place value, emphasizing the distinction between whole numbers and decimal parts. It then demonstrates how to move the decimal point when multiplying or dividing by powers of ten, using the 'right rich, left less' method. The concept of exponents is introduced as a way to express powers of ten, and students learn to apply this knowledge in various calculations, including those involving hidden decimals.

What type of numbers are found to the right of the decimal point?

• Negative numbers

• Parts of numbers

• Whole numbers

• Prime numbers

How many tenths make one whole?

• 1000

• 100

• 10

• 5

When multiplying 4.56 by 100, how many places do you move the decimal?

• One place to the right

• Two places to the right

• Two places to the left

• One place to the left

What does the slash sign (/) represent in division?

• Subtraction

• Division

• Addition

• Multiplication

If you divide 196.96 by 100, what is the new number?

• 1.696

• 1969.6

• 19.696

• 1.9696

What is an exponent?

• A number that represents a fraction

• A fancy name for powers of ten

• A type of decimal

• A whole number

What is 10 to the third power?

• 10

• 100

• 1000

• 10000

How many zeros are in 10 to the fourth power?

• 5

• 3

• 4

• 2

When multiplying 3.4 by 10 to the third power, how many hops do you make?

• One hop

• Two hops

• Four hops

• Three hops

If you divide 700 by 10 to the second power, where does the hidden decimal go?

• After the thousands place

• After the ones place

• After the hundreds place

• After the tens place