Understanding Place Value and Dividing by Powers of 10

This video tutorial explores the relationship between digits on a place value chart by using base 10 blocks and operations involving powers of 10. It covers how to multiply and divide numbers by powers of 10, demonstrating the shift in place value and the addition or removal of zeros. The tutorial also addresses common student mistakes and provides examples to clarify the concept of place value, emphasizing the difference in value between digits in various positions.

What is the relationship between tens and ones in a place value chart?

• Tens are the same size as ones.

• Tens are 10 times bigger than ones.

• Tens are 5 times bigger than ones.

• Tens are 2 times bigger than ones.

When you multiply 24 by 100, what is the result?

• 2400

• 24,000

• 2,400,000

• 240

If you divide 5000 by 10, what is the new value?

• 50

• 505

• 550

• 500

How does dividing a number by 10 affect its place value?

• It doubles the number.

• It removes a zero from the number.

• It shifts the number to the left on the place value chart.

• It adds a zero to the number.

What happens to the number 78,000 when divided by 10?

• It becomes 78.

• It becomes 7,800.

• It becomes 780,000.

• It becomes 780.

In the number 94,223, how does the value of the '2' in the tens place compare to the '2' in the hundreds place?

• Both '2's have the same value.

• The '2' in the tens place is 10 times smaller.

• The '2' in the tens place is 10 times larger.

• The '2' in the tens place is 100 times smaller.

In the number 307,172, how does the value of the '7' in the tens place compare to the '7' in the thousands place?

• The '7' in the tens place is 100 times smaller.

• The '7' in the tens place is 10 times larger.

• Both '7's have the same value.

• The '7' in the tens place is 1000 times smaller.