Comparing the Value of Digits in Decimals Using Place Value and Models

This video tutorial explains the concept of place value in decimals, emphasizing how the position of a digit affects its value. It uses models to represent decimals and addresses common misunderstandings. The tutorial compares digits in decimals, explores mixed decimals, and analyzes how shifting digits changes their value. By the end, viewers will understand how to compare and represent decimal values using place value knowledge.

What happens to the value of a digit as you move it from right to left in a place value chart?

• It becomes 10 times larger.

• It remains the same.

• It becomes 10 times smaller.

• It becomes 100 times larger.

How can a whole number be represented using models?

• With a green cube.

• With a yellow pyramid.

• With a red cube.

• With a blue sphere.

In the number 448 thousandths, how are the two fours related?

• They are unrelated.

• The second four is 10 times the value of the first four.

• The first four is 10 times the value of the second four.

• They are equal in value.

What is the relationship between the twos in 212 thousandths?

• They are unrelated.

• They are equal in value.

• The first two is 100 times the value of the second two.

• The second two is 100 times the value of the first two.

How does the value of a digit change when moving from the tenths to the thousandths place?

• It becomes 100 times larger.

• It becomes 100 times smaller.

• It becomes 10 times larger.

• It remains the same.

In the mixed decimal 3 and 283 thousandths, how are the two threes related?

• The second three is 1000 times the value of the first three.

• They are unrelated.

• The first three is 1000 times the value of the second three.

• They are equal in value.

What happens to the value of 5/10 when it shifts two places to the right?

• It becomes 5.

• It becomes 5 thousandths.

• It becomes 5 hundredths.

• It remains 5/10.