Convert between place values

3rd class Convert between place values by Delta publications

key notes :

🎇 Understanding Place Value:

• Place Value Definition: Place value refers to the value of a digit depending on its position in a number.
• Place Value Positions: Common place values include ones, tens, hundreds, and thousands.

✨ Basic Place Value Positions:

Ones Place: The first digit from the right.

• Example: In 423, the digit 3 is in the ones place.

Tens Place: The second digit from the right.

• Example: In 423, the digit 2 is in the tens place.

Hundreds Place: The third digit from the right.

• Example: In 423, the digit 4 is in the hundreds place.

Thousands Place: The fourth digit from the right.

• Example: In 5,423, the digit 5 is in the thousands place.

🎟 Converting Between Place Values:

Moving Left (Increasing Place Value):

When you move a digit one place to the left, its value becomes 10 times greater.

• Example: Moving the digit 3 from the ones place to the tens place changes its value from 3 to 30.

Moving Right (Decreasing Place Value):

When you move a digit one place to the right, its value becomes 10 times smaller.

• Example: Moving the digit 4 from the hundreds place to the tens place changes its value from 400 to 40.

🎉 Converting Example:

Example 1: Convert 5 tens to ones:

• 5 tens = 50 ones (because 5 × 10 = 50).

Example 2: Convert 3 hundreds to tens:

• 3 hundreds = 30 tens (because 3 × 100 = 300 and 300 ÷ 10 = 30).

🎫 Expanded Form to Standard Form:

Expanded Form: A way to break down a number by its place value.

• Example: 342 = 300 + 40 + 2

Converting Expanded Form to Standard Form:

Add the place values together to get the number: 300 + 40 + 2 = 342.

Practice: Convert numbers from expanded form to standard form and vice versa.

🎄Relating Place Values:

Understanding Relationships: Recognize that 10 ones = 1 ten, 10 tens = 1 hundred, and so on.

• Example: In the number 1,234, the 2 in the hundreds place is worth 200, which is the same as 20 tens.

Decomposition: Break down a number to show how it is made up of different place values.

• Example: 456 can be decomposed into 400 (hundreds), 50 (tens), and 6 (ones).

🎟 Converting Between Standard and Expanded Form:

Standard Form to Expanded Form:

• Example: 729 in expanded form is 700 + 20 + 9.

Expanded Form to Standard Form:

• Example: 600 + 50 + 4 = 654 in standard form.

🎨 Using Place Value Charts:

Place Value Chart: A tool that visually helps students see how digits are placed in different columns based on their value.

Conversion Practice:

Use a place value chart to convert numbers between different forms.

• Example: Write the number 1,236 on a place value chart and show how each digit relates to its place value.

Learn with an example

Let’s practice!