In mathematics, each digit in a number has a specific position that determines its value. For example, in the number 170, the digit 1 is in the hundreds place, the digit 7 is in the tens place, and the digit 0 is in the ones place.
Our decimal number system is built on groups of 10. The ones place represents 10 to the power of 0, which equals 1. The tens place represents 10 to the power of 1, which equals 10. The hundreds place represents 10 to the power of 2, which equals 100.
A place value chart helps us understand the value of each digit. The hundreds place represents 10 squared, or 100. The tens place represents 10 to the first power, or 10. The ones place represents 10 to the zeroth power, or 1.
Now let's place the number 170 into our place value chart. The digit 1 is in the hundreds place, representing 1 times 100. The digit 7 is in the tens place, representing 7 times 10. The digit 0 is in the ones place, representing 0 times 1.
We need to find the value of the digit 7 in 170. In the number 170, the digit 7 is in the tens place. Let's focus on this digit and determine its value.
The tens place represents groups of 10. When we have one unit in the tens place, it equals 10 ones. Since the digit 7 is in the tens place, it represents 7 groups of 10, which equals 70.
To calculate the value of the digit 7 in 170, we multiply 7 by 10, since it's in the tens place. Seven times ten equals seventy. Therefore, the digit 7 in 170 represents 70.
Here's a visual representation of 7 groups of 10 objects each. We have 7 rows, and each row contains 10 circles. Counting all the circles gives us 70, confirming that the digit 7 in 170 represents 70.
The number 170 is composed of three parts: 100 from the hundreds place, 70 from the tens place, and 0 from the ones place. When we add these together, we get 100 plus 70 plus 0 equals 170. The digit 7 contributes exactly 70 to the total value.
The same digit can have different values depending on its position. When 7 is in the ones place, it represents 7 times 1, which equals 7. When 7 is in the tens place, it represents 7 times 10, which equals 70. When 7 is in the hundreds place, it represents 7 times 100, which equals 700. In the number 170, the 7 is in the tens place, so it represents 70.
Let's practice with another example. In the number 275, we can break it down into 200 plus 70 plus 5. The digit 2 is in the hundreds place, so it represents 2 times 100 equals 200. The digit 7 is in the tens place, so it represents 7 times 10 equals 70. The digit 5 is in the ones place, so it represents 5 times 1 equals 5. The value of digit 7 in 275 is 70, just like in 170.
Let's summarize what we've learned. To find the value of a digit in a number, we follow three steps. First, identify the digit, which is 7. Second, determine its position, which is the tens place. Third, multiply the digit by its place value, which is 7 times 10 equals 70. Therefore, the value of digit 7 in 170 is 70. We have successfully found the answer!