(5 hundreds 5 tens) x 10 in unit form
The Correct Answer and Explanation is:
Correct Answer in Unit Form:
(5 hundreds 5 tens) × 10 = 5,500
In unit form:
(5 × 100 + 5 × 10) × 10 = (500 + 50) × 10 = 550 × 10 = 5,500
Unit form: 5 thousands 5 hundreds
Explanation:
To solve (5 hundreds 5 tens) × 10 in unit form, we must first understand what unit form means. Unit form expresses numbers by breaking them into place values such as ones, tens, hundreds, thousands, etc.
Step 1: Understand the Value
- 5 hundreds means 5 × 100 = 500.
- 5 tens means 5 × 10 = 50.
So, combining them gives us:
- 500 + 50 = 550
Now we multiply this by 10:
- 550 × 10 = 5,500
Step 2: Multiply in Parts
Let’s multiply the place values by 10 to understand the shift:
- 500 × 10 = 5,000
- 50 × 10 = 500
So,
- 5,000 + 500 = 5,500
Step 3: Convert to Unit Form
Now express 5,500 in unit form:
- 5 thousands = 5 × 1,000 = 5,000
- 5 hundreds = 5 × 100 = 500
So, 5,500 in unit form = 5 thousands 5 hundreds.
Why This Matters
This exercise reinforces understanding of place value and multiplication. Multiplying by 10 shifts each digit one place to the left, increasing its value tenfold. That’s why 5 hundreds becomes 5 thousands, and 5 tens becomes 5 hundreds when multiplied by 10.
Working in unit form helps students visualize and conceptualize the structure of numbers instead of just memorizing digits. It builds a strong foundation for more advanced math like decimals, long multiplication, and algebra.
So, the correct and fully explained answer to (5 hundreds 5 tens) × 10 in unit form is:
5 thousands 5 hundreds.
