( 4 ten thousands 8 hundreds) ÷ 10 in unit form and standard form
The correct answer and explanation is:
✅ Correct Answer:
- Unit form: 4 thousands 8 tens
- Standard form: 4,080
🧠 Explanation (300 words):
To solve (4 ten thousands 8 hundreds) ÷ 10, we must first understand the place value and convert the expression into standard form before dividing by 10.
🔢 Step 1: Convert to standard form
- “4 ten thousands” means:
4×10,000=40,0004 \times 10,000 = 40,000 - “8 hundreds” means:
8×100=8008 \times 100 = 800
Now add them together:
40,000+800=40,80040,000 + 800 = 40,800
➗ Step 2: Divide by 10
When we divide a number by 10, each digit shifts one place value to the right.
So: 40,800÷10=4,08040,800 \div 10 = 4,080
This is because dividing by 10 reduces each place value by one digit. For example:
- Ten thousands become thousands
- Hundreds become tens
So, in unit form, 40,800 becomes:
- 4 thousands (from 4 ten thousands)
- 8 tens (from 8 hundreds)
Thus:
- Unit form: 4 thousands 8 tens
- Standard form: 4,080
📚 Why it Matters:
Understanding unit form and place value is essential in early math education. It helps students break down complex numbers and operations into manageable, visual concepts. By translating “ten thousands” and “hundreds” into their actual values and then applying division, students see how place value relationships work.
This also reinforces number sense, helping learners see how base-10 operations affect digits and why dividing by 10 always shifts the digits one place to the right—crucial for mental math and understanding decimals later on.
✅ Final Answer Recap:
- Unit form: 4 thousands 8 tens
- Standard form: 4,080