What is the unit value of the 3 in 432
The correct answer and explanation is:
Correct Answer:
The unit value of the 3 in 432 is 30.
Explanation (Approx. 300 words):
In the number 432, each digit holds a place value based on its position from right to left. The number can be broken down as follows:
- 4 is in the hundreds place, so its value is:
4×100=4004 \times 100 = 400 - 3 is in the tens place, so its value is:
3×10=303 \times 10 = 30 - 2 is in the ones (units) place, so its value is:
2×1=22 \times 1 = 2
So, when we ask for the value of the digit 3 in 432, we are referring to the value it represents in its specific place — which is the tens place.
Therefore, the unit value of 3 in 432 is 30.
More on Place Value:
Place value helps us understand what each digit in a number represents. For example:
- In the number 532, the 3 is in the tens place and equals 30.
- In 739, the 3 is still in the tens place and equals 30.
- But in 3,040, the 3 is in the thousands place, and its value would be 3×1000=30003 \times 1000 = 3000.
Understanding place value is essential in mathematics because it forms the foundation for addition, subtraction, multiplication, division, and even algebra.
Key Takeaway:
To find the value of any digit in a number:
- Identify its position (ones, tens, hundreds, etc.).
- Multiply the digit by the value of its place.
Thus, in 432, the 3 is in the tens place, and its unit (or place) value is 30.