PLACE VALUEThe Value of a Number

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The Value of a DigitThe value of a digit is based

on where it is placed within a number. For Example:Mill

ions

Hundred-thousands

Ten-Thousands

Thousands

Hundreds

Tens

Ones

Tenths

Hundredths

Thousandths

8, 1 4 3, 1 2 9 3 1 8

Look at the placement of the 1 in this number.Which 1 has the greatest value?

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher ShopIf the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop

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The Value of a DigitThe 1 furthest to the left is

greater than the 1 furthest to the right.

Which would you rather have?$100,000 or $0.01 Mill

ions

Hundred-thousands

Ten-Thousands

Thousands

Hundreds

Tens

Ones

Tenths

Hundredths

Thousandths

8, 1 4 3, 1 2 9 3 1 8

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a DigitWhen we move a digit in a

number one place to the left, the value of the digit is 10 times

greater.LOOK…

11 x 10 =

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher ShopIf the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop

Teacher Shop

The Value of a DigitWhen we move a digit in a

number one place to the left, the value of the digit is 10 times

greater.LOOK…

10 10 x 10 =

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher ShopIf the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop

Teacher Shop

The Value of a DigitWhen we move a digit in a

number one place to the left, the value of the digit is 10 times

greater.LOOK…

100100 x 10 =

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher ShopIf the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop

Teacher Shop

The Value of a DigitWhen we move a digit in a

number one place to the left, the value of the digit is 10 times

greater.LOOK…

1,0001,000 x 10 =

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a DigitWhen we move a digit in a

number one place to the left, the value of the digit is 10 times

greater.LOOK…

10,00010,000 x 10 =

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher ShopIf the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop

Teacher Shop

The Value of a DigitWhen we move a digit in a

number one place to the left, the value of the digit is 10 times

greater.LOOK…

100,000 100,000 x 10 =

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher ShopIf the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop

Teacher Shop

The Value of a DigitWhen we move a digit in a

number one place to the left, the value of the digit is 10 times

greater.LOOK…

1,000,000

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher ShopIf the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop

Teacher Shop

The Value of a DigitWhen we move a digit in a

number one place to the right, the value of the digit is 1/10 less

than before.LOOK…

1,000,000 1,000,000 ÷ 10 =

Now let’s see what

happens when we move a

number to the right.

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a DigitWhen we move a digit in a

number one place to the right, the value of the digit is 1/10 less

than before.LOOK…

100,000 100,000 ÷ 10 =

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher ShopIf the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a DigitWhen we move a digit in a

number one place to the right, the value of the digit is 1/10 less

than before.LOOK…

10,000 10,000 ÷ 10 =

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a DigitWhen we move a digit in a

number one place to the right, the value of the digit is 1/10 less

than before.LOOK…

1,000 1,000 ÷ 10 =

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a DigitWhen we move a digit in a

number one place to the right, the value of the digit is 1/10 less

than before.LOOK…

100 100 ÷ 10 =

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a DigitWhen we move a digit in a

number one place to the right, the value of the digit is 1/10 less

than before.LOOK…

10 10 ÷ 10 =

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a DigitWhen we move a digit in a

number one place to the right, the value of the digit is

1/10 less than before.LOOK…

1

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The Value of a Digit

Let’s PracticeUse what you just learned

to answer the following questions.

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit

How does the tens place value compare to the ones

place value?

Answer: The tens place value is 10 times greater than the

ones place value.

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit

How does the thousands place value compare to the ten-thousands place value?

Answer: The thousands place value is 1/10 of the value of

the ten-thousands place value.

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit

Compare 1,000,000 to 100,000.

Answer: 1,000,000 is 10 times greater than 100,000.

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit

Compare 5,000 to 50,000

Answer: 5,000 is 1/10 of the value of 50,000.

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

Now let’s look at the value of each digit in a number.

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit4,238,192

We can represent the value of each digit by multiplying the

digit by its place value. 2 x 1 = 2

9 x 10 = 901 x 100 = 100

8 x 1,000 = 8,0003 x 10,000 = 30,000

2 x 100,000 = 200,0004 x 1,000,000 = 4,000,000

Because the 2

is in the ones

place-value,

we multiply it

by 1.

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit43.598

The same can be done with a decimal!

8 x .001 = .008

9 x .01 = .095 x .1 = .53 x 1 = 3

4 x 10 = 40

8 x 1/1,000 = .008

9 x 1/100 = .095 x 1/10 = .5

3 x 1 = 34 x 10 = 40

OR

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The Value of a Digit

To show the value of each digit, we

can write a number in expanded form!

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The Value of a Digit

How do we write 3,429.188 in expanded

form?(3x1,000)+(4x100)+(2x10)+(9x1

)+(1x1/10)+(8x1/100)+(8x1/1,000)

OR

3,000+400+20+9+0.1+0.08+0.008

In both examples, each place-value is represented.

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit

Let’s PracticeUse what you just

learned to answer the following questions.

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop

Teacher Shop

The Value of a Digit

Write the value of the underlined digit.

3,428.97

Three-Thousand or 3,000

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The Value of a Digit

Write the value of the underlined digit.

3,428.97

Four-Hundred or 400

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The Value of a Digit

Write the value of the underlined digit.

3,428.97

Nine-Tenths or 0.9

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The Value of a Digit

Write the following number in expanded

form.1,528

(1x1,000)+(5x100)+(2x10)+(8x1)OR

1,000+500+20+8

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit

Write the following number in expanded

form.429.82

(4x100)+(2x10)+(9x1)+(8x1/10)+(2x1/100)

OR400+20+9+0.8+0.02

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a DigitWrite the following

number in expanded form.

7,390.002

(7x1,000)+(3x100)+(9x10)+(2x1/1,000)OR

7,000+300+90+.002When the place-value is zero, you

do not need to include it in

expanded form.If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop

Teacher Shop

The Value of a Digit

Now that we understand that the value of each

digit in a number is determined by its

place value, we can compare numbers!If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop

Teacher Shop

The Value of a Digit

When comparing two numbers, you must consider each place

value.3.80 3.08

Look at these two numbers!

The ones place contains a 3 in both numbers, so they have equal value.

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit

When comparing two numbers, you must consider each place

value.3.80 3.08

Now look at the Tenths place.These numbers are different!

Which is greater?8 or 0

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit

When comparing two numbers, you must consider each place

value.3.80 3.08

Right!8 is greater than 0, so 3.80 is greater

than 3.08!Once you find a place value that is

greater, you have found the greater number.If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop

Teacher Shop

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit

When comparing numbers, a good

strategy is to line up the numbers.

59.01059.10158.001

When we line-up our numbers, it is easier to compare each place

value.

Line-up the decimals!

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a DigitWhen comparing

numbers, a good strategy is to line-up

the numbers.59.01059.10158.001

Each number has a 5 in the tens place. That means the numbers

have the same value so far. We need to look at the next place

value.

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit

When comparing numbers, a good

strategy is to line up the numbers.

59.01059.10158.001

The first two numbers have a 9 in the ones place. That means they have the

same value. Because the last number has an 8 in the

ones place, its value is less then the other numbers.

LEAST

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit

When comparing numbers, a good

strategy is to line up the numbers.

59.01059.10158.001

Look at the tenths place!Which is greater?

1 is greater than 0!

LEAST

GREATEST

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit

When comparing numbers, a good

strategy is to line up the numbers.

59.01059.10158.001

We don’t need to compare anymore place-values.

LEAST

GREATEST

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit

When comparing numbers, a good

strategy is to line up the numbers.

59.101, 59.010, 58.001

We don’t need to compare anymore place values!

GREATEST to LEAST

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit

Let’s try another!

Remember…1. Line up the decimals

2. Compare the largest place value first.

3. Compare the digits in each place value.

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit

Let’s try another!231.1 31.9

31.799

In this example, only the first number has a digit in the hundreds

place.That means it is the GREATEST!

GREATESTRemember to focus on the value of the number, not the number of digits!

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit

Let’s try another!231.1

31.9

31.799

Now look at the tens place!They are both equal.

GREATEST

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit

Let’s try another!231.1

31.9

31.799

The ones place is equal too!We need to look at the next place

value.

GREATEST

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit

Let’s try another!231.1

31.9

31.799

Look at the tenths-place.Which is greater?9 is greater than 7

GREATEST

LEAST

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit

Let’s try another!

231.1, 31.9, 31.799

We don’t need to compare anymore place-values!

GREATEST to LEAST

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a DigitAnother strategy you

can use when comparing numbers is…

“Pretend like it’s MONEY!”

$59.010$59.101$58.001

Don’t Forget!Tenths place = dimes

Hundredths place = penniesThousandths place = 1/10 of a pennyIf the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop

Teacher Shop

The Value of a Digit

Which amount of money would you

rather have?

$59.010 (59 dollars and 1 cent)

$59.101 (59 dollars and 10 cents)

$58.001 (58 dollars and 0 cents)If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop

Teacher Shop

The Value of a Digit

Let’s PracticeUse what you just

learned to answer the following questions.

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop

Teacher Shop

The Value of a Digit

Order the numbers from

Greatest to Least4.324.034.30

Answer: 4.32, 4.30, 4.03

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit

Order the numbers from

Greatest to Least 201.09

210.9 201.009

Answer: 210.9, 201.09, 201.009

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit

Order the numbers from

Least to Greatest42.08142.81042.080

Answer: 42.080, 42.081, 42.810

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a DigitUse >, <, or =

5.001 _______ 5.01062.9 _______ 62.19

709.16 _______ 709.160

<>

=

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