Thursday, August 22, 2024

Whole Numbers: Expanded Form

Expanded form is a way to express a number as the sum of the place values of its digits. For example, the expanded form of the number 1,572 is 1,000+500+70+2.


How to Write Numbers in Expanded Form?

Go through the below steps to write the numbers in expanded form:

Step 1: Get the standard form of the number.

Step 2: Identify the place value of the given number using the place value chart.

Step 3: Multiply the given digit (aka face value) by its place value and represent the number in the form of (digit × place value).

Step 4: Finally, represent all the numbers as the sum of (digit × place value) form, which is the expanded form of the number.

Example:

What is 35,713 in expanded form?

Solution:

Step 1: The standard form of the number is 35,713.

Step 2: The place value of the given number is:

3 – Ten thousand

5 – Thousands

7 – Hundreds

1 – Tens

3 – Ones

Step 3: Multiply the given number by its place value.

(i.e.,) 3×10,000, 5×1,000, 7×100, 1×10, 3×1

Step 4: Expanded form is 30,000+ 5,000+700+10+3

Finally, the expanded form of the number 35713 is 30,000+ 5000+700+10+3.




https://byjus.com/maths/expanded-form/
https://fun2dolabs.com/place-value-expanded-and-standard-form/