In the number 7564,by how much is the value of the 7 greater than the value of the 4

The value of a digit in a number is determined by its place value.

In the number 7564, the value of the digit 7 is 7 x 1000 = 7000.

In the number 7564, the value of the digit 4 is 4 x 1 = 4.

Therefore, the value of the 7 is greater than the value of the 4 by 7000 - 4 = 6996.

To find the difference between the value of the digit 7 and the value of the digit 4 in the number 7564, we need to understand the place value system.

In the number 7564, each digit holds a value based on its position or place value. Starting from the right-hand side, we have:

4: This digit is in the units place, so its value is 4.
7: This digit is in the thousands place, so its value is 7 * 1000 = 7000.

To find the difference between the two values, we subtract the value of 4 from the value of 7:

7000 - 4 = 6996

Therefore, the value of the 7 is greater than the value of the 4 by 6996.

To find out by how much the value of the digit 7 is greater than the value of the digit 4 in the number 7564, we first need to understand the place value system. In base 10 (decimal system), each digit's value is determined by its position from the rightmost side.

Let's break down the number 7564 according to its place values:

7 - Thousands place (7 thousands)
5 - Hundreds place (5 hundreds)
6 - Tens place (6 tens)
4 - Ones place (4 ones)

Since we are comparing the value of the digit 7 with the value of the digit 4, we need to consider their respective place values.

The value of the digit 7 in the thousands place is 7,000 (7 thousands).
The value of the digit 4 in the ones place is 4 (4 ones).

To find out the difference, we subtract the value of the digit 4 from the value of the digit 7:

7,000 - 4 = 6,996

Therefore, the value of the 7 is greater than the value of the 4 by 6,996.