How many digits will be there to the right of the decimal point in the product…
2025
How many digits will be there to the right of the decimal point in the product of 95.75 and .02554 ?
- A.
5
- B.
6
- C.
7
- D.
9
Attempted by 2 students.
Show answer & explanation
Correct answer: B
Step-by-Step Explanation
Count the decimal places of the factors:
95.75 has 2 decimal places (7 and 5).
.02554 has 5 decimal places (0, 2, 5, 5, 4).
Sum the decimal places:
Total sum = 2 + 5 = 7 decimal places.
Account for trailing zeros:
When multiplying, you effectively ignore the decimal points and multiply the whole numbers: 9575 * 2554.
The last digit of 9575 is 5, and the last digit of 2554 is 4.
Multiplying these gives 5 * 4 = 20.
Because this multiplication results in a trailing zero, that zero at the end of the product will be dropped or simplified, reducing the total count of significant digits to the right of the decimal point from 7 to 6.