Question

Juliana wants to write the number twenty thousand, one hundred ninety in expanded notation. Which of the following would complete the expression? Select all that apply. (2×?)+(1×100)+(9×10) (1 point) Responses 1,000 1 , 000 104 10 4 100,000 100 , 000 103 10 3 10,000

Answer 1

To write the number twenty thousand, one hundred ninety (20,190) in expanded notation, we can break it down as follows:

- 20,000 can be expressed as \(2 \times 10,000\)
- 100 can be expressed as \(1 \times 100\)
- 90 can be expressed as \(9 \times 10\)

Putting this all together, the full expanded notation for 20,190 is:

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

Now, looking at the choices provided:

1. **1,000** - This is not correct—20,000 is 2 times 10,000, not 1,000.
2. **1,000** (duplicate) - Not applicable for the same reason.
3. **104** - Not relevant for our expanded notation.
4. **10** - Not relevant since we have 90 expressed as \(9 \times 10\).
5. **100,000** - This is not part of the number 20,190.
6. **100,000** (duplicate) - Same as above.
7. **103** - Not relevant for our expanded notation.
8. **10** (duplicate) - Again, not part of the expanded notation.
9. **10,000** - This is correct since it's part of the expression for 20,000, which is \(2 \times 10,000\).

So the correct answers to complete the expanded expression are:

- 10,000

This is the only option that completes the expression for 20,190 correctly.