Mastering Multiplication with Powers of Ten

This video tutorial explores the concept of multiplying by powers of ten. It begins by identifying patterns in powers of ten, showing how the number of zeros corresponds to the exponent. The tutorial then demonstrates how to multiply whole numbers and decimals by powers of ten, using shortcuts like moving the decimal point to the right. Several examples are provided to illustrate these concepts, making it easier to understand and apply the techniques in various mathematical problems.

What are the two main goals of this lesson?

• Dividing by a power of ten and adding by a power of ten

• Evaluating ten raised to a power and dividing by a power of ten

• Evaluating ten raised to a power and multiplying by a power of ten

• Multiplying by a power of ten and subtracting by a power of ten

What is ten to the third power?

• One thousand

• One hundred thousand

• One hundred

• Ten thousand

How many zeros are there in ten to the fifth power?

• Three

• Five

• Six

• Four

What is the result of five times ten to the second power?

• Fifty thousand

• Five hundred

• Five thousand

• Fifty

What is the shortcut for multiplying a whole number by a power of ten?

• Dividing the number by the exponent

• Adding the number of zeros that match the exponent

• Subtracting the number of zeros from the number

• Multiplying the number by the exponent

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

• Keep it in the same place

• Remove it completely

• Move it to the right the same number of places as the exponent

• Move it to the left the same number of places as the exponent

What is the result of 0.5 times ten to the second power?

• 500

• 50

• 5000

• 5

What is the result of 1.27 times ten to the third power?

• 1270

• 127000

• 127

• 12700

What is the result of 27.34 times ten to the fifth power?

• 273400

• 2734000

• 273400000

• 27340000

What is the result of 1.275 times ten to the fourth power?

• 12750

• 1275

• 1275000

• 127500