What is the place value of 3 in 630
The correct answer and explanation is:
Answer:
The place value of 3 in 630 is 30.
Explanation:
In a number, each digit has a place value based on its position from right to left, starting with units (ones), then tens, hundreds, thousands, and so on. The place value of a digit is calculated by multiplying the digit by the value of the position it occupies.
Let’s analyze the number 630 digit by digit:
- The digit 0 is in the units (ones) place. Its place value is 0×1=00 \times 1 = 0.
- The digit 3 is in the tens place. Its place value is 3×10=303 \times 10 = 30.
- The digit 6 is in the hundreds place. Its place value is 6×100=6006 \times 100 = 600.
Since the digit 3 is in the tens place, its place value is 3 multiplied by 10, which equals 30.
Why Place Value Matters:
Understanding place value is fundamental in mathematics because it helps us know the actual value of a digit in a number. For example, the digit 3 in the number 630 does not mean just “3”; it actually means 30 because of its position. This is crucial when performing operations like addition, subtraction, multiplication, and division, or when reading and writing numbers correctly.
The number 630 can also be understood as the sum of the place values of its digits: 630=(6×100)+(3×10)+(0×1)=600+30+0630 = (6 \times 100) + (3 \times 10) + (0 \times 1) = 600 + 30 + 0
If you ignored place values and just added digits as numbers, you might mistakenly think 6 + 3 + 0 = 9, which is very different from the actual value 630.
Practical Example:
Suppose you are buying 630 candies. If you separate the candies into hundreds, tens, and units, you have:
- 6 packs of 100 candies = 600 candies
- 3 packs of 10 candies = 30 candies
- 0 individual candies
This breakdown shows how the number is structured and clarifies the importance of the digit 3’s place value being 30, not just 3.
In summary, the place value of 3 in 630 is 30 because it is in the tens place, and place value is found by multiplying the digit by the value of its position. This understanding helps in grasping the true value of numbers beyond just their digits.