Table of Contents
Welcome to round to the nearest 25 cents, our post which explains the nearest 25 cents rounding, including examples.
In this article you can also find a state-of-the-art rounding calculator a few lines below.
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Round to the Nearest 25 Cents Calculator
Insert any amount, that’s it. You can optionally change the regular round mode to round up or round down, as discussed further down in this post.
Where is the Nearest 25 Cents’ Place?
The nearest 25 cents of an amount of money is the sequence 00, 25, 50 or 75 two places to the right of the decimal separator after the amount has been rounded depending on the value of the nearest penny.
This basically means that the thousandths’ place of any amount of money determines the value of the nearest quarter!
How do you Round to the Nearest 25 Cents?
How do you round money to the nearest quarter? We employ divisions with remainders, aka modulo operation, as explained in this article here.
Check the two digits sequence xy to the right of the decimal point of nearest cent value.
If xy mod(25) <= 12 we round down; the nearest quarter is xy - xy mod(25).
If xy mod(25) > 12 we round up; the nearest quarter is xy + (25 – xy mod(25)). In case of rounding up and the nearest quarter ending in “.00”, the amount’s ones place has to be increased by 1.
It follows from the formula that if xy is 00, 25, 50 or 75 we don’t do anything.
For example:
- $3.12: 12 mod(25) = 12, so we round down: $3 + (0.12 – 0.12) = $3.00
- $8.38: 38 mod(25) = 13, so we round up: $8 + (.38 + .12) → $8.50
- $11.95: 95 mod(25) = 20, so we round up: $11 + (.95 + (.25 -.20)) to .00 and therefore increase the ones’ value to 2 → $12.00
In the following table you can find some amounts in dollar rounded to nearest quarter.
| Amount | Rounded to Nearest 25 Cents |
|---|---|
| 2.24 | 2.25 |
| 9.33 | 9.25 |
| 8.227 | 8.25 |
| 15.60 | 15.50 |
| 4.76 | 4.75 |
| 11.22 | 11.25 |
| 14.89 | 15.00 |
| 3.55 | 3.50 |
| 103.52 | 103.50 |
| 13.25 | 13.25 |
| 16.66 | 16.75 |
| 101.07 | 101.00 |
| 26.11 | 26.00 |
| 22.52 | 22.50 |
| 51.54 | 51.50 |
| 21.99 | 22.00 |
| 4.50 | 4.50 |
| 46.65 | 46.75 |
| 12.76 | 12.75 |
| 14.77 | 14.75 |
| 2424.44 | 2424.50 |
| 89.64 | 89.75 |
| 2.371 | 2.25 |
| 31.61 | 31.50 |
| 46.52 | 46.50 |
| 46.69 | 46.75 |
| 46.89 | 47.00 |
| 92.764 | 92.75 |
| 28.89 | 29.00 |
| 47.3 | 47.25 |
| 63.43 | 63.50 |
| 42 | 42.00 |
| 37.999 | 38.00 |
| 138.53 | 138.50 |
| 19.77 | 19.75 |
| 69.38 | 69.50 |
| 15.50 | 15.50 |
| 39.28 | 39.25 |
| 98.42 | 98.50 |
| 752.91 | 753.00 |
| 4.58 | 4.60 |
| 212.33 | 212.25 |
| 28.964333 | 29.00 |
| 86.42 | 86.50 |
| 38.71 | 38.75 |
| … | … |
If it remains in the dark why a pertinent amount has been rounded one way or the other, make use of our comment form located at the end of this post. We will get back to you with the explanation ASAP.
Round up to the Nearest 25 Cents
If xy mod(25) > 12, then, according to our rounding rules, you round up to the nearest 25 cents. However, the term round up to the nearest 25 cents means that all division remainders are rounded up by changing xy to xy + (25 – xy mod(25)), and increasing the ones’ value by 1 in case xy + (25 – xy mod(25)) = “.00”. For example: $8.01 → $8.25.
Round Down to the Nearest 25 Cents
If xy mod(25) <= 12, then, according to our rounding rules, you round down to the nearest 25 cents. However, the term round down to the nearest 25 cents means that all division remainders are rounded down by changing xy to xy – xy mod(25). For example: $9.99 → $9.75.
Bottom Line
Nota bene: Any rounded number including any amount of money has always the same value as the number you started with; however it is less exact.
Here you can find all about the nearest dollar.
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