What is the expanded form of 285? (2 X 100) + (8 X 10) (8 X 10) + (2 X 1) (2 X 100) + (8 X 10) + (5 X 1) (5 X 100) + (8 X 10) + (2 X 1)

Answer 1

The expanded form of the number 285 can be written by breaking it down into its place values.

The number 285 is made up of:

• 2 in the hundreds place (which represents 200)
• 8 in the tens place (which represents 80)
• 5 in the ones place (which represents 5)

So, the expanded form is:

\[ (2 \times 100) + (8 \times 10) + (5 \times 1) \]

Calculating this gives:

• \(2 \times 100 = 200\)
• \(8 \times 10 = 80\)
• \(5 \times 1 = 5\)

Combining these, we have:

\[ 200 + 80 + 5 \]

Therefore, the correct expanded form of 285 is:

\[ (2 \times 100) + (8 \times 10) + (5 \times 1) = 200 + 80 + 5 \]

Your provided form seems to be repeated and includes extra components. The correct expanded form is simply \(200 + 80 + 5\).

Answer 2

Write 1,976 in expanded form. (9 x 1,000) + (1 X 100) + (7 X 10) + (6 X 1)
(9 x 1,000) + (1 X 100) + (6 X 10) + (7 X 1) (1, X 1,000) + (9 x 100) + (7 X 10) + (6 X 1) (1, X 100) + (9 x 100) + (7 X 10) + (6 X 1)

Answer 3

To write the number 1,976 in expanded form, you would break it down according to the value of each digit based on its position:

1,976 consists of:

• 1 in the thousands place (which represents \(1 \times 1,000\))
• 9 in the hundreds place (which represents \(9 \times 100\))
• 7 in the tens place (which represents \(7 \times 10\))
• 6 in the ones place (which represents \(6 \times 1\))

So, the expanded form of 1,976 can be expressed as:

\[ (1 \times 1,000) + (9 \times 100) + (7 \times 10) + (6 \times 1) \]

That means the expanded form is:

\[ 1,000 + 900 + 70 + 6 \]

Regarding the options you provided:

1. \((9 \times 1,000) + (1 \times 100) + (7 \times 10) + (6 \times 1)\) - Incorrect.
2. \((9 \times 1,000) + (1 \times 100) + (6 \times 10) + (7 \times 1)\) - Incorrect.
3. \((1 \times 1,000) + (9 \times 100) + (7 \times 10) + (6 \times 1)\) - Correct.
4. \((1 \times 100) + (9 \times 100) + (7 \times 10) + (6 \times 1)\) - Incorrect.

Thus, the correct expanded form for 1,976 is:

\[ (1 \times 1,000) + (9 \times 100) + (7 \times 10) + (6 \times 1) \]