Recognizing Relationships Between Place Values: Multiplying and Dividing by 10

This video tutorial explains the concept of place values and how they change by factors of 10 when moving left or right in a number. It provides examples using different digits to illustrate how multiplying or dividing by 10 affects the value of a digit based on its position. The tutorial also covers advanced comparisons, such as determining the relationship between digits in different positions, like millionths and thousandths, using multiplication and division by powers of 10.

What happens to the value of a digit when it shifts one place to the left?

• It doubles.

• It increases by 10 times.

• It remains the same.

• It decreases by 10 times.

In the number 941, what is the value of the digit 9?

• 900

• 9

• 90

• 9000

How many times greater is the value of the digit 9 in 941 compared to 329?

• 10,000 times

• 1,000 times

• 100 times

• 10 times

What is the value of the digit 7 in the number 3.467?

• 0.007

• 0.7

• 0.07

• 7

How many times more is the value of the digit 8 in the millionth place compared to the thousandth place?

• 1 billion times

• 1,000 times

• 10,000 times

• 1 million times