Understanding Multiplication by Powers of 10

The video tutorial explains how to multiply numbers by powers of 10 using the base 10 number system. It covers both whole numbers and decimals, demonstrating how to move the decimal point to the right to achieve the correct product. The tutorial includes examples of multiplying by 10, 100, and 1,000, emphasizing the importance of place value and filling in missing digits with zeros.

Why do we multiply decimals by 10, 100, and 1,000 in the base 10 system?

• To make calculations more complex

• To convert them into fractions

• To align with the base 10 number system

• To make the numbers smaller

What happens to the decimal point when you multiply a number by 10?

• It stays in the same position

• It moves one place to the left

• It disappears

• It moves one place to the right

When multiplying 5 by 100, how many places do you move the decimal point?

• Two places to the left

• Three places to the right

• Two places to the right

• One place to the left

What is the product of 0.5 multiplied by 10?

• 50

• 0.05

• 5

• 0.5

How do you handle missing digits when multiplying decimals by powers of 10?

• Replace them with zeros

• Ignore them

• Replace them with ones

• Leave them blank

What is the result of multiplying 1.78 by 100?

• 1,780

• 1780

• 178

• 17.8

When multiplying 0.5 by 1,000, how many zeros are added?

• One zero

• Two zeros

• No zeros

• Three zeros

What is the product of 3423 multiplied by 1,000?

• 34,230,000

• 342,300

• 34,230

• 3,423,000

How many places do you move the decimal point when multiplying by 1,000?

• One place to the right

• Three places to the right

• Four places to the right

• Two places to the right

What is the product of 1.78 multiplied by 1,000?

• 1,780,000

• 178

• 1,780

• 17,800