203k views
4 votes
What is 54,592.63 written in expanded form? (2 points) a 5 x 10,000 + 4 x 1,000 + 5 x 100 + 4 x 10 + 5 x 1 + 6 x 0.1 + 3 x 0.01 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 c 5 x 10,000 + 4 x 1,0000 + 5 x 100 + 9 x 10 + 2 x 1 + 3 x 0.1 + 6 x 0.01 d 5 x 100,000 + 4 x 10,000 + 5 x 1,000 + 9 x 100 + 2 x 10 + 3 x 1 + 6 x 0.1

User Lulhum
by
8.3k points

1 Answer

6 votes

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.

User Rsoren
by
8.6k points

No related questions found