Answer:
The number 54,592.63 written in expanded form is:
b) 5 x 10,000 + 4 x 1,000 + 5 x 100 + 9 x 10 + 2 x 1 + 6 x 0.1 + 3 x 0.01
Explanation:
Certainly! In the expanded form of a number, each digit is represented by its place value multiplied by the digit itself. Here's how the number 54,592.63 is written in expanded form:
- The digit 5 is in the ten-thousands place, so it's represented as 5 x 10,000.
- The digit 4 is in the thousands place, so it's represented as 4 x 1,000.
- The digit 5 is in the hundreds place, so it's represented as 5 x 100.
- The digit 9 is in the tens place, so it's represented as 9 x 10.
- The digit 2 is in the ones place, so it's represented as 2 x 1.
- The digit 6 is in the tenths place, so it's represented as 6 x 0.1.
- The digit 3 is in the hundredths place, so it's represented as 3 x 0.01.
When you add all these values together, you get the original number:
5 x 10,000 + 4 x 1,000 + 5 x 100 + 9 x 10 + 2 x 1 + 6 x 0.1 + 3 x 0.01 = 54,592.63
So, the expanded form breaks down the number into its individual place values, making it easier to understand the value of each digit within the number.