By how much will the number 258,546 increase if each digit 5 is replaced with the digit 7?

• A. 2,020
• B. 2,200
• C. 20,020
• D. 20,200

Answer: (D)

To determine how much the number 258,546 increases by replacing each digit 5 with the digit 7, we first need to identify where the digit 5 appears in the number.

The digit 5 appears twice in 258,546:

• Once in the thousands place (5 in 255846)

• Once in the tens place (5 in 258546)

Now we can calculate the increase caused by changing these 5s to 7s.

1. For the first 5 in the thousands place:

• The original value contributed by this digit is 5,000.

• After changing it to 7, the new value is 7,000.

• The increase from this change is 7,000 - 5,000 = 2,000.

2. For the second 5 in the tens place:

• The original value contributed by this digit is 50.

• After changing it to 7, the new value is 70.

• The increase from this change is 70 - 50 = 20.

Now, we add the increases together:

• From the thousands place increase: 2,000

• From the