In basketball tournament, Kayla averaged 12.375 rebounds per game. What is 12.375 written in expanded form
The Correct Answer and Explanation is:
Correct Answer:
12.375 in expanded form is:
10 + 2 + 0.3 + 0.07 + 0.005
Explanation:
Expanded form is a way of writing numbers that shows the value of each digit based on its place value. In this case, the number is 12.375. Let’s break it down digit by digit:
- The digit 1 is in the tens place, so its value is 10.
- The digit 2 is in the ones place, so its value is 2.
- The digit 3 is in the tenths place, so its value is 0.3.
- The digit 7 is in the hundredths place, so its value is 0.07.
- The digit 5 is in the thousandths place, so its value is 0.005.
When we write each of these values separately and then combine them with addition signs, we get the expanded form:
10 + 2 + 0.3 + 0.07 + 0.005
This format helps us clearly see how each digit contributes to the total value of the number based on its position. For example, the 3 is not just a 3, but a 3 in the tenths place, which means it represents three-tenths. The 5 at the end represents five-thousandths because it is in the third place to the right of the decimal point.
Using expanded form is helpful for understanding decimals, especially when learning place value or when adding or subtracting decimals in math problems. It also reinforces how decimals are just extensions of our regular base-10 number system. Each digit after the decimal point is worth ten times less than the one before it.
