How do you write 863.141 in expanded form
The correct answer and explanation is:
Correct Answer:
863.141 in expanded form is:
800 + 60 + 3 + 0.1 + 0.04 + 0.001
300-Word Explanation:
Expanded form is a way of breaking down a number to show the value of each digit according to its place in the number. This helps us understand how each digit contributes to the overall value.
Let’s take the number 863.141 and break it down step-by-step.
Whole Number Part (Left of the Decimal Point):
The digits before the decimal point are 8, 6, and 3 in the number 863:
- The 8 is in the hundreds place, so it represents 800.
- The 6 is in the tens place, so it represents 60.
- The 3 is in the ones place, so it represents 3.
So, the expanded form of the whole number part is:
800 + 60 + 3
Decimal Part (Right of the Decimal Point):
After the decimal point, we have 1, 4, and 1 in .141:
- The first 1 is in the tenths place, which means 1/10, or 0.1.
- The 4 is in the hundredths place, which means 4/100, or 0.04.
- The second 1 is in the thousandths place, which means 1/1000, or 0.001.
So, the expanded form of the decimal part is:
0.1 + 0.04 + 0.001
Putting it all together:
Now we combine both parts — the whole number and the decimal — into a single expression:
863.141 = 800 + 60 + 3 + 0.1 + 0.04 + 0.001
This expanded form shows exactly what each digit means based on its position in the number. It is a helpful tool for learning place value, understanding decimals, and improving number sense, especially when working with large numbers or decimals in mathematics.