Multiplying Decimals and Powers of 10

This video tutorial covers the process of multiplying decimals, starting with a basic procedure and moving through several examples. It explains the importance of counting decimal places and demonstrates the commutative property of multiplication. The tutorial also covers multiplying decimals by powers of 10, providing shortcuts and explanations for why these methods work.

What is the first step in multiplying decimals?

• Divide the numbers as whole numbers

• Subtract the numbers as whole numbers

• Add the numbers as whole numbers

• Multiply the numbers as whole numbers

Why do we sum the decimal places in the factors?

• To determine the denominator in fraction form

• To simplify the multiplication process

• To determine the numerator in fraction form

• To find the product of the numbers

In the example 12.3 x 0.15, how many decimal places should the product have?

• Four

• One

• Two

• Three

What property allows us to change the order of multiplication?

• Associative Property

• Identity Property

• Commutative Property

• Distributive Property

In the example 15.78 x 0.002, how many digits should be to the right of the decimal in the product?

• Two

• Three

• Five

• Four

When multiplying a decimal by a power of 10, what do you do with the decimal point?

• Keep it in the same place

• Move it to the left

• Move it to the right

• Remove it

How many zeros are in the power of 10 when multiplying by 1000?

• One

• Three

• Two

• Four

What is the result of moving the decimal point two places to the right in 5.378?

• 5378

• 53.78

• 537.8

• 5.378

What is the product of 78.3 when multiplied by 1000?

• 783000

• 78300

• 7830

• 783

What is the decimal representation of 5378/10?

• 5.378

• 53.78

• 537.8

• 5378