Multiplying and Dividing by Powers of 10

In this video, Mr. J explains how to multiply and divide numbers by powers of 10 using the base 10 number system. The video covers eight examples, demonstrating how to move the decimal point to achieve the correct answer. The tutorial emphasizes understanding whether the answer should increase or decrease in value, depending on whether the operation is multiplication or division. The video also distinguishes between standard and exponential forms of powers of 10, providing clear, step-by-step instructions for each example.

What is the base number system used for multiplying and dividing in this tutorial?

• Base 5

• Base 10

• Base 12

• Base 2

When multiplying by a power of 10, in which direction do we move the decimal?

• Does not move

• Up

• Right

• Left

How many times do we move the decimal when multiplying by 1000?

• 4 times

• 5 times

• 3 times

• 2 times

What happens to the value of a number when it is divided by a power of 10?

• Becomes zero

• Increases

• Decreases

• Remains the same

What is the result of dividing 3 by 100?

• 0.03

• 0.003

• 30

• 300

What is the correct way to multiply a number by 10^2?

• Divide the number by 100

• Add two zeros to the number

• Move the decimal 2 places to the right

• Move the decimal 2 places to the left

What is the result of multiplying 75 hundredths by 1000?

• 0.075

• 75

• 7500

• 750

When a whole number is multiplied by 10 to the power of 6, what is the result?

• The number increases in value

• The number decreases in value

• The number remains unchanged

• The number moves 6 places to the left

What does an exponent in exponential form indicate when multiplying or dividing by powers of 10?

• The initial value of the number

• The number of zeros to add

• The number of places to move the decimal

• The final value of the number

If you divide a number by 10^4, how does the value change?

• It remains the same

• It decreases significantly

• It increases significantly

• It becomes zero