Convert to/from a number

key notes :

🎈1. Understanding Conversion:

• Conversion in Numbers: Converting between different forms of numbers, such as from words to digits or from digits to expanded form, helps students understand numbers better.
• Importance: Being able to convert numbers strengthens understanding of place value and number sense.

🎇 Converting Words to Numbers:

Read the Number Carefully: Pay attention to the words and identify the place value of each part.

• Example: “Three hundred twenty-five” is written as 325.

Step-by-Step Process:

Identify the hundreds, tens, and ones in the word form.

Write the digits in the correct place value positions.

Practice Examples:

• “One hundred forty-seven” → 147

• “Five hundred twenty-three” → 523

🧨 Converting Numbers to Words:

Read Each Digit’s Place Value: Start from the left (largest place value) and name each digit according to its place value.

• Example: 678 is read as “Six hundred seventy-eight.”

Step-by-Step Process:

Identify the digits and their place values.

Write the number in word form, starting with the largest place value.

Practice Examples:

• 245 → “Two hundred forty-five”

• 902 → “Nine hundred two”

✨ Converting Numbers to Expanded Form:

Expanded Form: Breaking down a number into the sum of its place values.

• Example: 764 in expanded form is 700 + 60 + 4.

Step-by-Step Process:

Identify each digit’s place value.

Write the number as the sum of these values.

Practice Examples:

• 583 → 500 + 80 + 3

• 409 → 400 + 0 + 9

🧨Converting from Expanded Form to Standard Form:

Standard Form: Writing the number as a single whole number.

• Example: 300 + 40 + 5 is written as 345.

Step-by-Step Process:

Add the values together.

Write the number in standard form.

Practice Examples:

• 600 + 70 + 8 → 678

• 200 + 5 → 205

Learn with an example

Let’s practice!