https://file.aiquickdraw.com/mathbot/file/1727207119313nbvjdu4f.jpg

The question asks to calculate the **maximum possible percentage error** in the amount of cream due to Emma's assumption that the measurement is exact.

### Step 1: Understand the rounding range
- The cream's quantity is given as **150 ml to the nearest milliliter**. 
- Since it's rounded to the nearest milliliter, the actual quantity of cream could be anywhere between **149.5 ml** and **150.5 ml**.

### Step 2: Calculate the possible error
The error is the difference between the assumed value (150 ml) and the extreme actual values:
- **Maximum error** = 0.5 ml (this is the difference between 150 ml and either 150.5 ml or 149.5 ml).

### Step 3: Calculate the percentage error
The **percentage error** is calculated as:

\[
\text{Percentage error} = \left( \frac{\text{Maximum error}}{\text{Measured value}} \right) \times 100
\]

Substitute the values:
\[
\text{Percentage error} = \left( \frac{0.5}{150} \right) \times 100
\]

Now, let's compute that.The **maximum possible percentage error** is approximately **0.33%** due to Emma's assumption that the measurement is exact.

Would you like further details or clarification? Here are 5 questions related to this topic:

1. How is rounding related to percentage error?
2. What happens if the measurement precision changes (e.g., rounding to the nearest 0.1 ml)?
3. How can Emma minimize the percentage error in future measurements?
4. Why is understanding percentage error important in practical measurements?
5. Can percentage error increase if more assumptions are made?

**Tip:** Always consider both the upper and lower bounds when calculating potential errors in measurements.

A carton of cream contains 150 ml, to the nearest ml. Emma assumes the measurement is exact. She needs 150 ml of cream. Work out the maximum possible percentage error due to her assumption.

Learn how to calculate the maximum possible percentage error in a 150 ml cream measurement rounded to the nearest milliliter. This problem covers rounding concepts, measurement errors, and percentage error calculations, suitable for Grades 9-11.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation