Exploring the Wonders of Place Value

Open Ended

Observe the image. About how many marbles are in Jar B?

Open Ended

Listen and write the numbers Ms. Craig says.

Exploring Place Value

Discover the magic of place value and its role in understanding numbers. Dive into the wonders of ones, tens, hundreds, and beyond, as we explore the power of position in our number system.

Introduction to Place Value

• Place value is the value of a digit based on its position in a number.

• Each digit has a place and a value.

• The place of a digit determines its value.

• Understanding place value is crucial for number sense and mathematical operations.

Multiple Choice

What is place value?

• The value of a digit based on its position in a number

• The value of a digit based on its color

• The value of a digit based on its shape

• The value of a digit based on its size

Place Value

The value of a digit based on its position in a number. Place value is crucial in understanding the numerical system. It determines the significance of each digit, allowing us to represent numbers accurately. Without place value, numbers would lose their meaning and calculations would be impossible. Remember, the position matters!

Understanding Place Value

• Ones: The rightmost digit in a number represents the ones place.
• Tens: The digit to the left of the ones place represents the tens place.
• Hundreds: The digit to the left of the tens place represents the hundreds place.

Multiple Choice

What does the digit to the left of the tens place represent?

• Ones place

• Hundreds place

• Thousands place

• Tens place

Open Ended

Count by 10s to 200.

Thousands Place

The digit to the left of the tens place represents the thousands place. This means that it represents the number of thousands in a given number. For example, in the number 5,678, the digit 5 represents 5,000. The thousands place is an important part of understanding the magnitude of a number.

Open Ended

Count by 1,000s to 15,000.

Exploring Place Value

Understanding the concept of place value is crucial in mathematics. When counting by thousands, each digit represents a different place value. The leftmost digit represents thousands, followed by hundreds, tens, and ones. This pattern continues as we count higher. Place value helps us understand the magnitude of numbers and perform operations accurately.

Counting by Thousands

Trivia: Did you know that when counting by thousands, each digit represents a different place value? The first digit represents thousands, the second digit represents hundreds, and the third digit represents ones. So, for example, the number 3,000 has 3 thousands, 0 hundreds, and 0 ones. Keep this in mind next time you count by thousands!

Exploring Place Value

Understanding the power of ten in our number system is crucial. Each digit's position represents a power of ten. From left to right, the positions are ones, tens, hundreds, thousands, and so on. This allows us to represent large numbers efficiently. For example, in the number 532, the 5 represents 500 (5 x 100), the 3 represents 30 (3 x 10), and the 2 represents 2 (2 x 1).

Multiple Choice

What does each digit's position represent in our number system?

• A. A power of ten

• B. A power of two

• C. A power of five

• D. A power of three

Place Value:

Understanding the value of each digit in a number is crucial. The position of a digit determines its value. The rightmost position is the ones place, followed by tens, hundreds, and so on. Each place value is ten times greater than the one to its right. For example, in the number 532, the 3 is in the ones place, the 3 is worth 3 units. The 3 in the tens place is worth 30, and the 5 in the hundreds place is worth 500. This understanding helps in reading and writing numbers accurately.

Multiple Choice

What determines the value of each digit in a number?

• The position of the digit

• The size of the digit

• The color of the digit

• The shape of the digit

Digit Value:

The size of the digit determines its value in a number. The larger the digit, the greater its value. For example, in the number 123, the value of the digit 1 is 100, the value of the digit 2 is 20, and the value of the digit 3 is 3. The size of each digit determines its contribution to the overall value of the number.

Drag and Drop

PLACE VALUE: The value of a ​

Placeholder

based on where in a

number it is ​

Placeholder

.



BASE TEN: Our number system, which uses ten different ​

Placeholder

and ​

Placeholder

to represent amounts.

Drag these tiles and drop them in the correct blank above

digit

digits

place value

located

tens

ones

hundreds

Drag and Drop

1 ten = ​

Placeholder

ones

1 hundred = ​

Placeholder

tens

1 hundred = ​

Placeholder

ones

1 thousand = 1,000 ones

1 ​

Placeholder

= 100 tens

1 thousand = 10 ​

Placeholder

Drag these tiles and drop them in the correct blank above

10

100

thousand

hundreds

Draw

How are 50 and 5 related?

How many 5s are in 50?

50 = __ x 5

10 x _ = 50

50 is __ times greater than 5.

Draw

How are 500 and 50 related?

How many 50s are in 500?

500 = __ x 50

10 x __ = 500

500 is __ times greater than 50.

Draw

How are 500 and 5 related?

How many 5s are in 500?

500 = __ x 5

100 x _ = 500

500 is __ times greater than 5.

Multiple Choice

TRUE or FALSE: 90 is 10 times greater than 9.

Hint: 9 x __ = 90

• TRUE

• FALSE

Open Ended

Mrs. Stewart wrote the number 9,618.

Create a number that has the digit 8 in the place value that is 10 times greater than the value of the 8 in Mrs. Stewart’s number. 

1) What place value is the 8 in 9,618?

2) 10 times greater than 8 means 8 x __ = __

Draw

How many times larger is 6,000 than 600? 

a.) 10 times larger

b.) 1 times larger

c.) 100 times larger 

Hint: __ x 600 = 6,000

Multiple Choice

TRUE or FALSE: 

The value of the 4 in 1,842 is 10 times greater than the value of the 4 in 294.

• TRUE
• FALSE

Open Ended

Stephen says the 7 in 5,789 is 100 times greater than the 7 in 6,270.

Agree or disagree?

Explain.