Question

How would 5,682,450,003 be written in expanded form?

Answer 1

the answer is 5.682450003 × 10^9.

Answer 2

Option A:
`\( 5 * 1,000,000,000 + 6 * 100,000,000 + 8 * 10,000,000 + 2 * 1,000,000 + 4 * 100,000 + 5 * 10,000 + 3 * 1 \)` is the correct expanded form.

So, the answer is Option A.

To write a number in expanded form, you break it down into each digit's place value, multiplying each digit by its place value, and then add the results together. The number provided in the image is 5,682,450,003. Let's expand it:

- The digit 5 is in the billions place, so it's 5 billion, or
`\( 5 * 1,000,000,000 \).`

- The digit 6 is in the hundred millions place, so it's 600 million, or
`\( 6 * 100,000,000 \).`

- The digit 8 is in the ten millions place, so it's 80 million, or
`\( 8 * 10,000,000 \).`

- The digit 2 is in the millions place, so it's 2 million, or
`\( 2 * 1,000,000 \).`

- The digit 4 is in the hundred thousands place, so it's 400 thousand, or
`\( 4 * 100,000 \).`

- The digit 5 is in the ten thousands place, so it's 50 thousand, or
`\( 5 * 10,000 \).`

- The digit 0 is in the thousands place, but since it's 0, it adds nothing to the expanded form and can be omitted.

- The digit 0 is in the hundreds place, and again, since it's 0, it adds nothing and can be omitted.

- The digit 0 is in the tens place, and it also adds nothing, so it can be omitted.

- The digit 3 is in the ones place, so it's simply 3, or
`\( 3 * 1 \).`

Putting this all together, the expanded form of the number is:

`\[ 5 * 1,000,000,000 + 6 * 100,000,000 + 8 * 10,000,000 + 2 * 1,000,000 + 4 * 100,000 + 5 * 10,000 + 3 * 1 \]`