How do you write 12.375 in expanded form
The Correct Answer and Explanation is:
Expanded Form of 12.375:
The number 12.375 in expanded form is:
10 + 2 + 0.3 + 0.07 + 0.005
Explanation
Expanded form is a way to break down and express a number by showing the value of each digit based on its place value. Let us analyze the number 12.375 step by step to understand how to write it in expanded form.
First, split the number into two parts:
- The whole number part: 12
- The decimal part: 0.375
Let us begin with the whole number part:
- The digit 1 is in the tens place, so its value is 1 × 10 = 10
- The digit 2 is in the ones place, so its value is 2 × 1 = 2
Now, we move on to the decimal part. In decimals, place values go from tenths to hundredths to thousandths:
- The digit 3 is in the tenths place, so its value is 3 × 0.1 = 0.3
- The digit 7 is in the hundredths place, so its value is 7 × 0.01 = 0.07
- The digit 5 is in the thousandths place, so its value is 5 × 0.001 = 0.005
Now we combine all these values to write the number in expanded form:
12.375 = 10 + 2 + 0.3 + 0.07 + 0.005
This representation helps students and learners clearly see how each digit contributes to the overall value of the number. It is especially helpful for understanding place value in both whole numbers and decimals. Using expanded form improves number sense and makes it easier to perform operations like addition, subtraction, or rounding with decimals.
