How to write 12.375 in expanded form
The Correct Answer and Explanation is :
The correct answer is: 10 + 2 + 0.3 + 0.07 + 0.005
To write 12.375 in expanded form, break it down based on place value:
- The digit 1 is in the tens place, so it represents 10.
- The digit 2 is in the ones place, so it represents 2.
- The digit 3 is in the tenths place, so it represents 0.3.
- The digit 7 is in the hundredths place, so it represents 0.07.
- The digit 5 is in the thousandths place, so it represents 0.005.
Thus, the expanded form of 12.375 is:
10 + 2 + 0.3 + 0.07 + 0.005
Explanation:
Place value refers to the value of a digit based on its position in a number. In the number 12.375, the decimal point separates the whole numbers from the fractional part, and each digit’s place to the left or right of the decimal point determines its value.
For whole numbers (left of the decimal):
- The 1 is in the tens place (10¹), meaning it represents 10.
- The 2 is in the ones place (10⁰), meaning it represents 2.
For decimal numbers (right of the decimal):
- The 3 is in the tenths place (10⁻¹), meaning it represents 0.3.
- The 7 is in the hundredths place (10⁻²), meaning it represents 0.07.
- The 5 is in the thousandths place (10⁻³), meaning it represents 0.005.
Expanded form is useful in understanding the individual contributions of each digit to the total number. For instance, in the number 12.375, the whole number part is 12, and the fractional part is 0.375. The expanded form shows how each component contributes to the overall value.
Understanding expanded form can be particularly helpful in teaching number sense, including place value, addition, and the concept of decimals. It also helps in comparing or adding numbers by breaking them into more manageable pieces.