What number is equal to 3 thousands + 7 tens + 5 ones?
The correct answer and explanation is:
Correct Answer: 3,075
Explanation:
To find the number equal to 3 thousands + 7 tens + 5 ones, you need to understand the place value system in base-10 (decimal) numbers. Each digit in a number has a place value depending on its position from right to left:
- Ones (1)
- Tens (10)
- Hundreds (100)
- Thousands (1,000)
- Ten-thousands (10,000), etc.
Step-by-step Breakdown:
- 3 thousands:
- 1 thousand = 1,000
- 3 thousands = 3 × 1,000 = 3,000
- 7 tens:
- 1 ten = 10
- 7 tens = 7 × 10 = 70
- 5 ones:
- 1 one = 1
- 5 ones = 5 × 1 = 5
Now, add these values together:
- 3,000 (thousands)
- 70 (tens)
- 5 (ones)
3,000 + 70 + 5 = 3,075
Why Place Value Matters:
The place value system helps us understand the value each digit contributes to a number. For example, in the number 3,075:
- The 3 is in the thousands place → 3 × 1,000 = 3,000
- The 0 is in the hundreds place → 0 × 100 = 0
- The 7 is in the tens place → 7 × 10 = 70
- The 5 is in the ones place → 5 × 1 = 5
Even though the hundreds place is 0, it holds the place so that the tens and ones are correctly positioned.
Understanding place value is essential for addition, subtraction, and even more advanced math like multiplication and decimals. It also helps us read, write, and compare numbers accurately.
Final Answer: 3,075