> ## Documentation Index
> Fetch the complete documentation index at: https://docs.uflo.io/llms.txt
> Use this file to discover all available pages before exploring further.

# Numerical Questions

> Enter a number using the units and precision specified by the question.

Numerical questions provide a field for a single numerical value. The label beside it can specify units, decimal places, and an acceptable margin of error.

## Enter Your Answer

Read the label, calculate your answer in the requested units, and enter the number. Leave units out of the field itself. For example, if the label asks for speed in m/s, enter **15.0**, not **15.0 m/s**.

<Frame caption="The label specifies metres per second and one decimal place.">
  <img className="block dark:hidden" src="https://mintcdn.com/uflo/AqRw2O8mTFF-DM6K/images/illustrations/students-assessments-answer-number/light.webp?fit=max&auto=format&n=AqRw2O8mTFF-DM6K&q=85&s=a8a5a06437a668afee3102a9a5591ff5" alt="A question about travelling 150 metres in 10 seconds, with 15.0 entered in the numerical response field." width="2400" height="858" data-path="images/illustrations/students-assessments-answer-number/light.webp" />

  <img className="hidden dark:block" src="https://mintcdn.com/uflo/AqRw2O8mTFF-DM6K/images/illustrations/students-assessments-answer-number/dark.webp?fit=max&auto=format&n=AqRw2O8mTFF-DM6K&q=85&s=614c90d5f6a913222bda9d7e2ede7f6e" alt="A question about travelling 150 metres in 10 seconds, with 15.0 entered in the numerical response field." width="2400" height="858" data-path="images/illustrations/students-assessments-answer-number/dark.webp" />
</Frame>

## Read the Answer Requirements

| Label              | What it means                                                            |
| ------------------ | ------------------------------------------------------------------------ |
| **Whole numbers**  | Round your answer to a whole number.                                     |
| **Decimal places** | Round to the number of decimal places shown.                             |
| **Exact value**    | Enter the value without rounding it to a fixed number of decimal places. |
| **Margin: ± …**    | Answers within this distance of the expected value are accepted.         |

## How Rounding Affects Grading

For questions with decimal place requirements, Uflo checks your answer in three steps:

<Steps>
  <Step title="Round Both Values">
    Round your response and the expected answer to the specified number of decimal places.
  </Step>

  <Step title="Compare the Rounded Values">
    Calculate the difference between them.
  </Step>

  <Step title="Check the Result">
    Without a margin of error, the rounded values must match. With a margin, the difference must be no greater than that margin.
  </Step>
</Steps>

### Example

**Question:** A cyclist travels **22 metres in 7 seconds**. Calculate their average speed in metres per second, giving your answer to **two decimal places**.

The expected answer is **22 ÷ 7 = 3.142857… m/s**, which rounds to **3.14 m/s**.

<img className="block dark:hidden" src="https://mintcdn.com/uflo/wB53unETNgAtcaok/images/illustrations/conceptual/numerical-grading/light.webp?fit=max&auto=format&n=wB53unETNgAtcaok&q=85&s=fb833e7e312b3a6f8379ce935884e5cb" alt="Two number lines show the expected answer rounding to 3.14. With exact matching, 3.144 is accepted and 3.154 is not. With a margin of 0.02, rounded values from 3.12 to 3.16 are accepted, so 3.164 is accepted and 3.174 is not." width="2400" height="1263" data-path="images/illustrations/conceptual/numerical-grading/light.webp" />

<img className="hidden dark:block" src="https://mintcdn.com/uflo/wB53unETNgAtcaok/images/illustrations/conceptual/numerical-grading/dark.webp?fit=max&auto=format&n=wB53unETNgAtcaok&q=85&s=e26bc9fc86ffac8307c3f29f140c4e23" alt="Two number lines show the expected answer rounding to 3.14. With exact matching, 3.144 is accepted and 3.154 is not. With a margin of 0.02, rounded values from 3.12 to 3.16 are accepted, so 3.164 is accepted and 3.174 is not." width="2400" height="1263" data-path="images/illustrations/conceptual/numerical-grading/dark.webp" />

<p className="text-center text-sm text-gray-600 dark:text-gray-400">Both values are rounded before grading. A margin of error widens the accepted range.</p>

<Tabs>
  <Tab title="Exact Match">
    With no margin of error, your response must round to **3.14**.

    | Your response | Rounded value | Difference | Result       |
    | ------------- | ------------- | ---------- | ------------ |
    | 3.144         | 3.14          | 0          | Accepted     |
    | 3.154         | 3.15          | 0.01       | Not accepted |
  </Tab>

  <Tab title="Margin of Error">
    With an allowed margin of **0.02 m/s**, the rounded value must be within **0.02** of **3.14**.

    | Your response | Rounded value | Difference | Result       |
    | ------------- | ------------- | ---------- | ------------ |
    | 3.164         | 3.16          | 0.02       | Accepted     |
    | 3.174         | 3.17          | 0.03       | Not accepted |
  </Tab>
</Tabs>

For questions with a formatted equation field, see [math expressions](/students/assessments/questions/math-expressions).