Understanding Place Value 5.NBT.A.1. 0700, Here is the digit 7 in the ones place.In the place to the...

Understanding Place Value

5.NBT.A.1

0700,

Here is the digit 7 in the ones place.In the place to the left, the same digit has a value that is 10 times greater.In the next place to the left, its value is another 10 times greater.Each time we move the digit to the left, its value is another 10 times greater.

Understanding Place Value

30, 00

Here is the digit 3 in the thousands place.In the place to the right, the same digit has a value that is 10 times less.In the next place to the right, its value is another 10 times less.Each time we move the digit to the right, its value is another 10 times less.

Understanding Place Value

8 00000 .,ones

thousandths

thousands

tenths

hundredths

Here is the digit 8 in the thousands place.In the place to the right, the same digit has a value that is 10 times less.In the next place to the right, its value is another 10 times less.Each time we move the digit to the right, its value is another 10 times less.And there are more places to the right, beyond the decimal point.The digit’s value is 10 times less …… in the tenths place.It’s value is another 10 times less …… in the hundredths place …… and another 10 times less …… in the thousandths place.

Understanding Place Value

600000 .,

Here is the digit 6 in the thousandths place.In the place to the left, the same digit has a value that is 10 times greater.In the next place to the left, its value is another 10 times greater.Each time we move the digit to the left, its value is another 10 times greater.10 times greaterAnother 10 times greaterAnd, another 10 times greater

Understanding Place Value

700000 .,

Here is 7 thousandths.7 hundredths is 10 times greater.7 tenths is another 10 times greater.7 is another 10 times greater.70 is another 10 times greater.700 is another 10 times greater.And, 7,000 is another 10 times greater.

Understanding Place Value

5 00000 .,

Let’s begin with 5,000. The digit 5 is in the thousands place. What number is 1/10 of 5,000?500. What number is 1/10 of 500?50. What number is 1/10 of 50?5. What is 1/10 of 5?0.5. What number is 1/10 of 0.5?0.05. And what number is 1/10 of 0.05?0.005

Understanding Place Value

4 ,444× 10

Here is 4,444. All the digits are the same but are in different places, so they have different values.The value of the 4 in the tens place is 10 times greater than the value of the 4 in the ones place.Let’s compare the ones place to the tens place.

Understanding Place Value

4 ,444× 100

Its value is 100 times greater than the value of the same digit in the ones place.Here is the same digit in the hundreds place.

Understanding Place Value

4 ,444× 1,000

Its value is 1,000 times greater than the value of the same digit in the ones place.And, here is the same digit in the thousands place.

Understanding Place Value

4 ,444÷ 10

The value of the 4 in the hundreds place is 10 times less than the value of the 4 in the thousands place.Let’s compare the thousands place to the hundreds place.

Understanding Place Value

÷ 100

Its value is 100 times less than the value of the same digit in the thousands place.Here is the same digit in the tens place.

Understanding Place Value

4 ,444

÷ 1,000

Its value is 1,000 times less than the value of the same digit in the thousands place.And, here is the same digit in the ones place.

Understanding Place Value

4 ,444

× 10

Here is 77.77.Let’s compare the hundredths place to the rest of the places, beginning with the tenths place.The same digit in the next place to the left has a value that is 10 times greater.

Understanding Place Value

77.77

× 100

The same digit two places to the left …… has a value that is 100 times greater.

Understanding Place Value

77.77

× 1,000

And, the same digit three places to the left …… has a value that is 1,000 times greater.

Understanding Place Value

77.77

÷ 10

The same digit one place to the right …… has one tenth the value.This time, let’s focus on the 7 in tens place.

Understanding Place Value

77.77

÷ 100

The same digit two places to the right …… has one hundredth the value.

Understanding Place Value

77.77

÷ 1,000

And, the same digit three places to the right …… has one thousandth the value.

Understanding Place Value

77.77

8 000,

8 000,

Here are two equivalent numbers.They each have an 8 in the thousands place.How many times less would the number be if the 8 was in the tens place?10 …100 times less

Understanding Place Value

4

0400,

Here are two more equivalent numbers.They each have a 4 in the ones place.How many times greater would the number be if the 4 was in the thousands place?10 …100 …1,000 times greater

Understanding Place Value

8 0

8 00.

Here are two equivalent numbers.They each have an 8 in the tens place.How many times less would the number be if the 8 was in the hundredths place?10 …100 …1,000 times less. So, the second number is a thousandth of the first number.

Understanding Place Value

9

0900

0.

.

0

Here are two more equivalent numbers.They each have a 9 in the hundredths place.How many times greater would the number be if the 9 was in the tens place?10 …100 …1,000 times greater

Understanding Place Value

0.0 7

0.0 7

Here is 0.07.There is a 7 in the hundredths place.

Understanding Place Value

0.0 7

0.7

If the 7 was in the tenths place …… its value would be 10 times greater.

Understanding Place Value

Understanding Place Value

Lightning Round

Compare the two numbers.The second number is …

4,00040

… 100 times smaller

Understanding Place Value

60600

… 10 times greater

Compare the two numbers.The second number is …

Understanding Place Value

700.7

… 100 times smaller

Compare the two numbers.The second number is …

Understanding Place Value

6000.6

… 1,000 times smaller

Compare the two numbers.The second number is …

Understanding Place Value

Closing Question

Understanding Place Value

0.050.5

… 10 times greater

Compare the two numbers.The second number is …

Understanding Place Value