Definition:

Expanded form is a way of breaking down a number to show the value of each digit. In expanded form, we write a number as a sum of each digit’s place value. To convert from expanded form to standard form, we add the place values back together to get the original number.

Converting expanded form to standard form:

Example 1:

 Write the number in standard form: 300+40+5.

Solution:

• Identify the values: 300, 40, and 5.
• Add them together: 300+40+5=345.

Final Solution: The standard form is 345.

Example 2:

Write the number in standard form: 7000+500+20+8.

Solution:

1. Identify the values: 7000, 500, 20, and 8.
2. Add them together: 7000+500+20+8=7528.

Final solution: The standard form is 7528.

Example 3:

Write the number in standard form: 4000+300+60+2.

Solution:

1. Identify the values: 4000, 300, 60, and 2.
2. Add them together: 4000+300+60+2=4362.

Final solution: The standard form is 4362.

Example 4:

 Write the number in standard form: 50000+6000+700+50+9.

Solution:

1. Identify the values: 50000, 6000, 700, 50, and 9.
2. Add them together: 50000+6000+700+50+9=56759.

Final solution: The standard form is 56759.

Example 5:

 Write the number in standard form: 900+80+3

Solution:

1. Identify the values: 900, 80, and 3.
2. Add them together: 900+80+3=983.

Final solution: The standard form is 983.

Why it matters:

Converting expanded numbers to standard form helps students understand place value and the composition of numbers. It strengthens their ability to read, write, and work with large numbers in real-life contexts. This skill is fundamental for performing accurate calculations and solving advanced math problems.

By practicing expended numbers, you can solve real-world problems quickly!

Let’s practice and evaluate your work together by expended numbers.