INT in Zoho Sheet: Round Down, Including Negative Numbers

Mathematical Beginner Zoho Sheet

Round decimal values toward negative infinity, calculate lower whole-number bounds and avoid confusing INT with TRUNC.

Verification status: Official documentation referenced; example outcomes independently reasoned or arithmetically checked where stated. Not executed in Zoho Sheet. How formula examples are checked

Zoho Sheet INT function: round a number down to a whole integer

Quick answer: =INT(B2) returns the greatest whole number less than or equal to B2. For B2 = -14.75, the independently expected result is -15. For 8.20, it is 8. With negative values, rounding down moves farther from zero, so INT(-3.6) is -4 rather than -3. These examples use independent arithmetic; none was executed in Zoho Sheet.

Use INT when you need a floor rather than decimal truncation, for example when assigning values to intervals, classifying signed readings into fixed-width ranges or recreating MOD’s mathematical remainder. It is not the same as reducing the number of visible decimal places.

Exact official syntax

=INT(number)
Argument Required Meaning Example
number Yes The real numeric value to round down to the nearest integer. B2, 2.3, -11.2

Zoho’s INT help article demonstrates =INT(2.3) → 2, =INT(4.66) → 4 and =INT(-11.2) → -12. In mathematical notation, INT(x) is the floor of x. The argument can be a cell reference; use a genuinely numeric cell so that import parsing does not determine the result unpredictably.

The vendor article does not identify a minimum Zoho version or prove parity across all current and historical clients. This guide documents the formula notation in Zoho’s public help, not native deployment support for each platform.

Reproduce the data

Paste the included math-sign-and-rounding-practice.csv at A1, keeping B as numeric decimal variances. Row 2 is deliberately negative and row 4 is exact zero; row 8 is a tiny negative value that reveals an important edge case. The relevant B-column values are:

Row B: Input =INT(B-row) independently expected
2 -14.75 -15
3 8.20 8
4 0 0
5 -3.60 -4
6 12.49 12
7 25.00 25
8 -0.04 -1
9 5.20 5

Step-by-step worksheet formula

  1. Put Lower integer in E1.
  2. In E2 type =INT(B2). Predict -15 before looking at the result.
  3. Copy E2 to E3:E9. The row references should change to B3, B4 and so on.
  4. Confirm that E5 corresponds to -4, not -3, because the original -3.60 is less than -3.
  5. Check E8: although B8 may display -0.04 or even -0.0 under a coarse format, any negative fraction strictly between -1 and 0 floors to -1.
  6. Use the sheet’s Number formatting if you prefer no decimal digits in the output; INT itself returns an integer numeric value.

The difference between INT and conventional rounding appears even for positives: INT(8.99) is still 8, not 9. INT never selects the closest integer; it chooses the next integer toward negative infinity (or the number itself if already integral).

Advanced: group continuous values into fixed-width intervals

Suppose readings are assigned to 5-unit bins that begin at multiples of 5. Put the signed reading in B2, then enter:

=INT(B2/5)*5

For B2 = -14.75, the calculation is INT(-2.95)*5 = -3*5 = -15, so the bin starts at -15. For B3 = 8.20, the same formula gives 5. For B5 = -3.60, the lower multiple is -5, not 0. This is particularly useful when negative adjustments must occupy distinct lower-bound buckets.

For a configurable positive bucket width, enter 5 in H1 and use:

=IF($H$1>0;INT(B2/$H$1)*$H$1;"Invalid width")

The intended output is -15 for B2 and width 5. The width must be positive for the stated bucket interpretation; zero would otherwise cause division by zero. This combined IF and INT expression is an unexecuted formula proposal and should be tested inside Zoho before production use.

INT also explains the documented MOD formula. For MOD(-23;5), INT(-23/5) = -5. Therefore the remainder is -23 - 5*(-5) = 2. Replacing INT with truncation toward zero would break Zoho’s documented divisor-sign convention.

INT versus TRUNC versus ROUND

Input INT TRUNC with zero decimal places Why it matters
3.6 3 3 Both discard the positive fractional part here.
-3.6 -4 -3 INT moves downward; TRUNC moves toward zero.
-0.04 -1 0 Hidden small negatives still matter for INT.
5 5 5 Already whole numbers are unchanged.

These are independent expected numerical results from the documented definitions, not a paired screenshot of native Zoho outputs. ROUND uses a different rule to choose a nearest value; see the existing ROUND review proposal for a separate explanation. For simply hiding decimal digits while retaining a value, change number formatting rather than calling INT or TRUNC.

Errors and common pitfalls

Observation Explanation or possible cause Fix
#VALUE! The input contains text instead of a usable number. Clean imported values; avoid embedding units such as kg in the numeric cell.
#NAME! Typo in INT or invalid named field. Use INT exactly and check names.
#REF! A referenced input cell is invalid. Restore or correct the reference.
-3.6 gives -4 Correct negative-floor behavior, not a rounding bug. Use TRUNC only if you truly need toward-zero truncation.
-0.04 gives -1 Every nonzero negative fraction between -1 and 0 has floor -1. Inspect precision and choose appropriate threshold logic.
Result looks identical to input Input may already be an integer, or formatting hides fractions. Inspect the stored value and formula cell references.

Zoho includes generic function errors, such as #N/A!, in its shared reference template; INT is not a lookup function. The right diagnosis depends on the actual formula and input type.

Compatibility with Excel and other spreadsheets

Microsoft’s Excel INT reference explicitly confirms that INT(-8.9) → -9, the same mathematical floor behavior documented by Zoho. Both Excel and Google Sheets have similarly named functions, but this statement is not evidence that blank values, imported text, arrays and locale settings match on every platform. The function’s own one-argument syntax is simple; composite IF formulas in this guide use Zoho’s published semicolon style, whereas English-language Excel examples often use commas.

Official reference and verification

Verification status: Official documentation checked; example outcomes were independently reasoned or arithmetically checked where applicable. Not executed in Zoho Sheet.

  • No genuine Zoho Sheet screenshots are included; this guide does not use mock application images.