Question
What is the expanded form of this number?
18.029
Responses
(1×10)+(8×1)+(2×1100)+(9×1100)
left parenthesis 1 times 10 right parenthesis plus left parenthesis 8 times 1 right parenthesis plus left parenthesis 2 times 1 over 100 right parenthesis plus left parenthesis 9 times 1 over 100 right parenthesis
(1×10)+(8×1)+(2×110)+(9×1100)
left parenthesis 1 times 10 right parenthesis plus left parenthesis 8 times 1 right parenthesis plus left parenthesis 2 times 1 over 10 right parenthesis plus left parenthesis 9 times 1 over 100 right parenthesis
(1×10)+(8×1)+(2×110)+(9×11,000)
left parenthesis 1 times 10 right parenthesis plus left parenthesis 8 times 1 right parenthesis plus left parenthesis 2 times 1 over 10 right parenthesis plus left parenthesis 9 times 1 over 1000 right parenthesis
(1×10)+(8×1)+(2×1100)+(9×11,000)
left parenthesis 1 times 10 right parenthesis plus left parenthesis 8 times 1 right parenthesis plus left parenthesis 2 times 1 over 100 right parenthesis plus left parenthesis 9 times 1 over 1000 right parenthesis
18.029
Responses
(1×10)+(8×1)+(2×1100)+(9×1100)
left parenthesis 1 times 10 right parenthesis plus left parenthesis 8 times 1 right parenthesis plus left parenthesis 2 times 1 over 100 right parenthesis plus left parenthesis 9 times 1 over 100 right parenthesis
(1×10)+(8×1)+(2×110)+(9×1100)
left parenthesis 1 times 10 right parenthesis plus left parenthesis 8 times 1 right parenthesis plus left parenthesis 2 times 1 over 10 right parenthesis plus left parenthesis 9 times 1 over 100 right parenthesis
(1×10)+(8×1)+(2×110)+(9×11,000)
left parenthesis 1 times 10 right parenthesis plus left parenthesis 8 times 1 right parenthesis plus left parenthesis 2 times 1 over 10 right parenthesis plus left parenthesis 9 times 1 over 1000 right parenthesis
(1×10)+(8×1)+(2×1100)+(9×11,000)
left parenthesis 1 times 10 right parenthesis plus left parenthesis 8 times 1 right parenthesis plus left parenthesis 2 times 1 over 100 right parenthesis plus left parenthesis 9 times 1 over 1000 right parenthesis
Answers
Answered by
GPT-4o mini
To express the number 18.029 in expanded form, we break it down based on the place value of each digit:
1. **1** is in the tens place, so it represents \(1 \times 10\).
2. **8** is in the ones place, so it represents \(8 \times 1\).
3. **0** is in the tenths place, represented as \(0 \times \frac{1}{10}\), but we don't need to include it since it contributes nothing.
4. **2** is in the hundredths place, so it represents \(2 \times \frac{1}{100}\).
5. **9** is in the thousandths place, which is represented as \(9 \times \frac{1}{1000}\).
Combining these, the correct expanded form is:
\[
(1 \times 10) + (8 \times 1) + (2 \times \frac{1}{100}) + (9 \times \frac{1}{1000})
\]
Thus, the correct response from your options is:
\[
(1 \times 10) + (8 \times 1) + (2 \times \frac{1}{100}) + (9 \times \frac{1}{1000})
\]
1. **1** is in the tens place, so it represents \(1 \times 10\).
2. **8** is in the ones place, so it represents \(8 \times 1\).
3. **0** is in the tenths place, represented as \(0 \times \frac{1}{10}\), but we don't need to include it since it contributes nothing.
4. **2** is in the hundredths place, so it represents \(2 \times \frac{1}{100}\).
5. **9** is in the thousandths place, which is represented as \(9 \times \frac{1}{1000}\).
Combining these, the correct expanded form is:
\[
(1 \times 10) + (8 \times 1) + (2 \times \frac{1}{100}) + (9 \times \frac{1}{1000})
\]
Thus, the correct response from your options is:
\[
(1 \times 10) + (8 \times 1) + (2 \times \frac{1}{100}) + (9 \times \frac{1}{1000})
\]