Scientific notation converter
1234.5 in scientific notation is 1.2345e3: a mantissa between 1 and 10 times ten to the third. Expand e-notation back to plain digits just as easily, for lab reports, homework and data tables. Free in your browser.
- Free
- Runs in your browser
- No sign-up
- Your data stays on your device
Run — free
Worked example
- Value
- 1234.5
- Conversion direction: to_scientific
- To scientific
- Result
- 1.2345e3
- Decimal
- 1234.5
- Scientific
- 1.2345e3
- Mantissa
- 1.2345
Scientific notation writes a number as a mantissa times ten raised to an integer exponent so very large and very small magnitudes stay readable without long strings of zeros.
What scientific notation means and which inputs are valid
Standard decimal notation places a point so each digit has a fixed place value under powers of ten. Scientific notation rewrites the same magnitude as a coefficient—the mantissa—times ten raised to an integer power, typically with the absolute value of the mantissa at least one and less than ten so the exponent alone carries the scale. Converting does not change the mathematical value; it only changes how the value is written for reading, grading, or serialization.
Accepted decimal examples include integers, fixed-point fractions, optional leading plus or minus signs, and carefully grouped digit strings. Accepted scientific examples include forms with e or E, optional plus or minus on the exponent, and common textbook spellings that use a multiplication sign before ten to a power.
Reading result, mantissa, exponent, and both display forms
The decimal field is the canonical standard digit string with a leading minus when the value is negative, useful for reports and homework answer keys that forbid scientific form. The scientific field always uses a compact mantissa e exponent spelling with a normalized coefficient so different original writings of the same magnitude collapse to one stable string. The mantissa and exponent fields expose the parts separately for table UIs, auto-graders that score coefficient and power independently, and pipelines that need to recombine scale later.
Quick mental checks build trust: one thousand becomes one e three; zero point zero zero one two becomes one point two e minus three; one point five e two expands to one hundred fifty; negative two point five e minus one expands to negative zero point two five. Use result alone when a human or report needs a single line; use the full object when automated tests must assert mantissa, exponent, and both spellings together.
What you can do with it
Lab reports and data pipelines
Technicians and scripts normalize measured magnitudes into mantissa and exponent fields for tables, exports, and consistent documentation.
FAQ
How do I convert a decimal number to scientific notation?
The result field is the compact form (1.2345e3) and mantissa/exponent are returned separately.
How do I expand scientific notation to a standard decimal?
The result field is the plain digit string (0.000123).
What happens if the number is malformed?
Empty strings, non-numeric text, broken exponents, and similar bad input are rejected and not charged.
Is the scientific notation converter free?
The browser tool runs free on your device.
Which scientific spellings are accepted?
Forms like 1.23e-4, 1.23E+4, and common textbook styles with a multiplication sign before 10^n are accepted. The response always normalizes to a stable mantissa e exponent string.
Related tools
For developers — API access
Everything on this page is available programmatically. This section is for teams who want to wire it into their own systems; everyone else can just use the tool above.
API endpoint
Prefer to automate it? One authenticated POST creates the task; the result comes back by webhook or a signed link. The same capability also runs here on the web, by email and from Telegram — and soon from our app too.
Call it from your stack
curl -X POST https://api.kit.forhosting.com/fmt/scientific-notation \
-H "Authorization: Bearer $KIT_KEY" \
-H "Content-Type: application/json" \
-d '{"value":"1234.5","direction":"to_scientific"}'const res = await fetch("https://api.kit.forhosting.com/fmt/scientific-notation", {
method: "POST",
headers: {
"Authorization": `Bearer ${process.env.KIT_KEY}`,
"Content-Type": "application/json"
},
body: JSON.stringify({
"value": "1234.5",
"direction": "to_scientific"
})
});
const { task_id } = await res.json();import os, requests
res = requests.post(
"https://api.kit.forhosting.com/fmt/scientific-notation",
headers={"Authorization": f"Bearer {os.environ['KIT_KEY']}"},
json={
"value": "1234.5",
"direction": "to_scientific"
},
)
task_id = res.json()["task_id"]<?php
$res = file_get_contents("https://api.kit.forhosting.com/fmt/scientific-notation", false, stream_context_create([
"http" => [
"method" => "POST",
"header" => "Authorization: Bearer " . getenv("KIT_KEY") . "\r\nContent-Type: application/json",
"content" => '{"value":"1234.5","direction":"to_scientific"}',
],
]));
$task = json_decode($res, true);body := bytes.NewBufferString(`{"value":"1234.5","direction":"to_scientific"}`)
req, _ := http.NewRequest("POST", "https://api.kit.forhosting.com/fmt/scientific-notation", body)
req.Header.Set("Authorization", "Bearer "+os.Getenv("KIT_KEY"))
req.Header.Set("Content-Type", "application/json")
res, _ := http.DefaultClient.Do(req)Example request
{
"value": "1234.5",
"direction": "to_scientific"
}Example response
{
"task_id": "tsk_a1b2c3d4e5f6a1b2c3d4e5f6",
"type": "fmt.scientific_notation",
"status": "queued",
"_links": {
"result": "/tasks/tsk_…/result"
}
}The API is asynchronous: the call returns a task_id immediately and the result arrives by webhook. Polling is capped at 1 req/s per task.
Pricing
Published price — no tokens, no invented credits. A failed task is never charged.
Errors
| HTTP | Code | Meaning |
|---|---|---|
401 | unauthorized | Missing or invalid API key. |
402 | insufficient_balance | Your balance doesn't cover the task price. |
404 | unknown_type | That task type doesn't exist. |
429 | rate_limited | Too many requests. Use the webhook instead of polling. |
Technical notes
Students, lab technicians, data engineers, and API authors constantly move between everyday decimal forms such as twelve hundred thirty-four point five and compact forms such as one point two three four five times ten to the three. This scientific notation converter accepts a value plus a direction, reformats the number deterministically with structured mantissa and exponent fields, and rejects malformed input with a clear invalid input error.
What scientific notation means and which inputs are valid
Send the required field value as a JSON number or as a numeric string. The required direction field chooses the rewrite: to_scientific (aliases scientific and sci) produces the compact mantissa-and-exponent form; to_decimal (aliases decimal and std) expands to a plain digit string. Empty strings, bare text, multiple decimal points, missing digits around the point, and non-integer exponents fail with invalid_input because this product promises an exact reformat of a well-formed number, not a best-effort guess. Significant digit length and exponent magnitude are capped for Worker isolate safety while still covering classroom exercises, lab constants, and ordinary engineering magnitudes. Identical inputs always produce identical JSON: there is no network call, random seed, or wall clock in the path.
Reading result, mantissa, exponent, and both display forms
On success the response echoes the original value string when you sent text, the normalized direction, and a result field that is exactly the form you asked for. The sign field is one or minus one for quick branching without parsing the leading character of the strings. method is always mantissa_exponent so downstream code can log the algorithm without sniffing shapes. Missing value, missing direction, unknown direction labels, and malformed numbers all fail with invalid_input and are not charged after validation rejects the request.
API usage, pricing, classroom workflows, and practical limits
Call the free in-browser scientific notation converter for homework checks, lecture demos, lab write-ups, and quick verification without installing a computer-algebra system or writing a throwaway script. Prefer classroom-scale digit counts for graded oracles, and keep exponent magnitude inside the published range for isolate safety. Authors shipping SDKs can map mantissa and exponent into two-column UI tables, while result feeds a single answer box—the same split students use on paper when they write a coefficient and a power of ten by hand. Send a JSON body with the required value and direction fields, or use the documented aliases n, number, and input for the number and dir or mode for the direction when your form or SDK already labels fields that way. Use the prepaid API when a tutoring platform, coding-assessment sandbox, documentation generator, spreadsheet helper, or data-cleaning pipeline needs a stable contract under KIT balance at $0.002 per successful item; validation failures never consume balance. Pair this endpoint with unit converters or significant-figure tools when a lesson walks from measurement to reporting form, or with base converters when students later map the same magnitudes into binary or hexadecimal for computing classes.
Integration use cases
Homework and exam verification
Students convert decimals to scientific form and expand scientific answers back to plain digits, with clear invalid_input feedback when a malformed number is submitted.
Tutoring platforms and auto-graders
Lesson builders call a prepaid JSON contract to check both the full scientific string and the separate coefficient and power of ten at scale.