1. **State the problem:** We need to write a number between 5000 and 6000 that has 3 hundreds, 2 ones, 7 tenths, and 4 thousandths in both standard and expanded form. 2. **Understand place values:** - Hundreds place means $3 \times 100$ - Ones place means $2 \times 1$ - Tenths place means $7 \times 0.1$ - Thousandths place means $4 \times 0.001$ 3. **Construct the number:** Since the number is between 5000 and 6000, the thousands digit is 5. So the number is: $$5000 + 3 \times 100 + 2 \times 1 + 7 \times 0.1 + 4 \times 0.001$$ Calculate each term: - $3 \times 100 = 300$ - $2 \times 1 = 2$ - $7 \times 0.1 = 0.7$ - $4 \times 0.001 = 0.004$ Add all parts: $$5000 + 300 + 2 + 0.7 + 0.004 = 5302.704$$ 4. **Write the number in standard form:** $$5302.704$$ 5. **Write the number in expanded form:** $$5000 + 300 + 2 + 0.7 + 0.004$$ This shows the value of each digit according to its place. **Final answers:** - Standard form: $5302.704$ - Expanded form: $5000 + 300 + 2 + 0.7 + 0.004$