in the number 288, explain how the value represented by the digit in the tens place is related to the value represented by the digit in the ones place.
they are both the number 8
The 8 in the tens place has a value of 80
the 8 in the unite place has a value of 8
To understand the relationship between the digit in the tens place and the digit in the ones place in the number 288, we need to break down the place value system.
In the decimal system, each digit's value is determined by its position in the number. Starting from the right, each position represents a power of 10. The rightmost position represents 10^0 (which is 1), the second rightmost position represents 10^1 (which is 10), the third rightmost position represents 10^2 (which is 100), and so on.
In the number 288, the digit 8 is in the ones place, and the digit 8 is in the tens place.
The value represented by the digit in the ones place is derived from multiplying the digit by the value of the ones place position, which is 10^0. Therefore, the value represented by the digit in the ones place is 8 * 10^0 = 8 * 1 = 8.
The value represented by the digit in the tens place is derived from multiplying the digit by the value of the tens place position, which is 10^1. Therefore, the value represented by the digit in the tens place is 8 * 10^1 = 8 * 10 = 80.
Hence, in the number 288, the value represented by the digit in the tens place is 80, which is ten times greater than the value represented by the digit in the ones place (which is 8).