9 ten thousand divided by 10 in unit form and standard form
The Correct Answer and Explanation is:
Answer:
Expression:
9×10,000÷109 \times 10{,}000 \div 10
Standard Form:
- Multiply:
9×10,000=90,0009 \times 10{,}000 = 90{,}000 - Divide:
90,000÷10=9,00090{,}000 \div 10 = 9{,}000
✅ Answer in Standard Form: 9,000
Unit Form:
- 10,000 is ten thousands.
- So, 9×10,000=90,000=99 \times 10,000 = 90,000 = 9 ten thousands × 10
- Dividing 90,000 by 10 gives 9,000=99,000 = 9 thousands
✅ Answer in Unit Form: 9 thousands
Explanation:
The given expression is 9×10,000÷109 \times 10{,}000 \div 10, which involves basic arithmetic operations: multiplication and division. First, we multiply 9 by 10,000. In mathematics, multiplying a number by 10,000 shifts its place value four positions to the left. So, 9×10,000=90,0009 \times 10{,}000 = 90{,}000. This is the intermediate product.
Next, we divide 90,000 by 10. Dividing by 10 shifts the digits one place to the right. So, 90,000÷10=9,00090{,}000 \div 10 = 9{,}000. This gives us the final result in standard form.
In standard form, the final number is 9,000, which is a regular way of writing numbers using digits.
In unit form, we express numbers based on place value units. 10,000 is referred to as “ten thousand,” and 90,000 is nine “ten thousands.” When you divide 90,000 by 10, the number becomes nine “thousands” because each ten thousand is broken into 10 parts.
So, 9 × 10,000 = 90,000 → 90,000 ÷ 10 = 9,000 → 9,000 = 9 thousands.
This process reinforces understanding of place value, which is a key concept in number operations. Understanding unit form helps students break down large numbers conceptually, rather than just manipulating digits.
To summarize:
- Standard Form: 9,000
- Unit Form: 9 thousands
This example teaches how multiplication and division affect place value, and how to move between numerical representations.
