Understanding Place Value Relationships

This lesson teaches how to determine relationships between place values by multiplying or dividing by ten. It reviews how place value increases tenfold with each shift to the left and decreases tenfold with each shift to the right. Examples are provided to illustrate these concepts, including comparing digits in different place values and finding one tenth of a number. The lesson concludes with a detailed example comparing the eights in 'eight million four hundred seventy-one thousand six hundred thirty-five' and 'nine hundred twenty-eight thousandths'.

What is the main focus of the lesson introduced at the beginning?

• Exploring geometric shapes

• Learning multiplication tables

• Recognizing relationships between place values

• Understanding fractions

How does place value change when moving one position to the left?

• It doubles

• It increases by ten times

• It remains the same

• It decreases by ten times

In the example with the numbers 941 and 329, what is the value of the digit 9 in the number 941?

• Nine

• Ninety

• Nine thousand

• Nine hundred

How many times do you multiply by ten to find the relationship between the digit 9 in the hundreds place and the ones place?

• Once

• Twice

• Three times

• Four times

In the example with decimal numbers, what is the value of the digit 7 in the number three and four hundred sixty-seven thousandths?

• Seven

• Seventy

• Seven thousandths

• Seven hundred

How do you find the relationship between the digit 7 in the thousandths place and the ones place?

• Divide by one hundred

• Multiply by ten three times

• Multiply by one hundred

• Divide by ten three times

What is the relationship between the eights in the number eight million four hundred seventy-one thousand six hundred thirty-five and nine hundred twenty-eight thousandths?

• The eight in the millions place is worth one hundred times more

• The eight in the millions place is worth ten times more

• The eight in the millions place is worth one thousand times more

• The eight in the millions place is worth one billion times more

How many places to the left is the millions place from the thousandths place?

• Six places

• Seven places

• Eight places

• Nine places

What operation is used to compare the eight in the thousands place to the eight in the millions place?

• Multiplication

• Division

• Addition

• Subtraction

What is the value of the eight in the thousandths place compared to the eight in the millions place?

• One billionth

• One hundredth

• One millionth

• One thousandth