Understanding the Decrease in Value When Dividing by Powers of 10

The video tutorial explains how dividing by powers of 10 affects the value of digits in a number. It begins with an introduction to the concept and reviews the relationship between place values through multiplication and division by 10. The tutorial provides examples of how dividing by powers of 10 shifts digits to the right, decreasing their value, and highlights the pattern of decimal point movement. It also addresses common misunderstandings, such as the importance of place value markers when dealing with decimals.

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

• The number remains the same.

• The number decreases by 10 times for each power.

• The number increases by 10 times.

• The number becomes zero.

How does the place value of a digit change when multiplied by 10?

• It becomes zero.

• It remains unchanged.

• It shifts one place to the right.

• It shifts one place to the left.

What is the value of 371 divided by 10 to the second power?

• 3.71

• 37.1

• 0.371

• 0.0371

When dividing 300 by 10 to the third power, what is the result?

• 0.03

• 30

• 3

• 0.3

Why is it important to include zeros as place value markers when dividing by powers of 10?

• To make the number smaller.

• To ensure the value of the number is correctly represented.

• To confuse the reader.

• To make the number larger.

What is a common mistake when dividing by powers of 10?

• Adding extra zeros.

• Forgetting to multiply by 10.

• Not shifting the decimal point.

• Not including zeros for empty place values.

How does dividing 30 by 10 to the 6th power affect its value?

• It becomes zero.

• It decreases the value by 1,000,000 times.

• It increases the value by 1,000,000 times.

• It remains unchanged.