Final answer:
To write 12.036 gallons in expanded notation, the number is broken down by place values as 10 + 2 + 0.03 + 0.006.
Step-by-step explanation:
The number 12.036 gallons written in expanded notation would break down the number by its place values and is shown as:
10 + 2 + 0.03 + 0.006
Here's how each part represents the whole number:
- 10 - This is the 'tens' place, where the number has one ten.
- 2 - This is the 'ones' place, representing two ones.
- 0.03 - This part is the 'hundredths' place, where the number has three hundredths.
- 0.006 - Lastly, this is the 'thousandths' place, with six thousandths.
Expanded notation helps us see the value of each digit in a number based on its position.