Hey lerumokatlego48, good to see you again.
To write a decimal number in expanded notation, you express it as the sum of the value of each digit. Each digit's value is determined by its place value (ones, tenths, hundredths, thousandths, etc.).
Here's how to do it for a general decimal number:
Let's take an example: 123.456
Step 1: Identify the place value of each digit.
- 1 is in the hundreds place (10²)
- 2 is in the tens place (10¹)
- 3 is in the ones place (10⁰)
- 4 is in the tenths place (10⁻¹)
- 5 is in the hundredths place (10⁻²)
- 6 is in the thousandths place (10⁻³)
Step 2: Multiply each digit by its corresponding place value.
- 1 × 100
- 2 × 10
- 3 × 1
- 4 × (1/10) or 4 × 0.1
- 5 × (1/100) or 5 × 0.01
- 6 × (1/1000) or 6 × 0.001
Step 3: Write the expanded notation as the sum of these values.
123.456 = (1 × 100) + (2 × 10) + (3 × 1) + (4 × 0.1) + (5 × 0.01) + (6 × 0.001)
Alternatively, using powers of 10:
123.456 = (1 × 10²) + (2 × 10¹) + (3 × 10⁰) + (4 × 10⁻¹) + (5 × 10⁻²) + (6 × 10⁻³)
Please send me the decimal numbers you would like written in expanded notation, and I'll solve them for you! 📸