Place Value: Understanding the Value of Digits in a Number

This lesson explains the concept of place value, showing how the value of a digit is determined by its position in a number. It highlights the common mistake of assuming digits have the same value regardless of their place. Through examples, it demonstrates how each place to the left is 10 times greater than the one to its right. The lesson includes decomposing numbers to illustrate how digits represent different values depending on their place, emphasizing the importance of understanding place value in mathematics.

What is the primary concept discussed in the introduction of place value?

• The value of a digit is constant regardless of its position.

• The value of a digit decreases as it moves to the left.

• The value of a digit increases tenfold as it moves to the left.

• Digits are only used in whole numbers.

In the number 1436, what is the value of the digit 3?

• 3000

• 300

• 30

• 3

How does the value of the digit 3 in 2341 compare to its value in 1436?

• It is the same in both numbers.

• It is worth less in 2341.

• It is worth more in 1436.

• It is worth more in 2341.

What is the value of the digit 4 in the number 400?

• 400

• 40

• 4

• 4000

How does decomposing numbers help in understanding place value?

• It demonstrates that place value is irrelevant.

• It helps identify the value of a digit based on its position.

• It shows that all digits have the same value.

• It proves that numbers cannot be broken down.