 a number n is rounded 2 decimal  places  the result is 3.87 using inequalities  write down the error internal for n

When a number \( n \) is rounded to two decimal places and the result is 3.87, the actual value of \( n \) could be slightly less or greater than 3.87 but still round to 3.87.

The error interval for \( n \) can be described using the following inequalities:

\[
3.865 \leq n < 3.875
\]

This means:

- The smallest possible value of \( n \) is 3.865, as anything smaller would round down to 3.86.
- The largest possible value of \( n \) is just below 3.875, as 3.875 would round up to 3.88.

### Do you want more details or have any questions?

Here are 5 related questions:
1. How would the error interval change if \( n \) were rounded to 1 decimal place?
2. What would be the error interval for \( n \) if the rounded result were 4.25 instead of 3.87?
3. How does rounding affect calculations in practical applications like finance or engineering?
4. What is the difference between rounding and truncating a number?
5. How can we calculate the error interval for numbers rounded to different decimal places?

**Tip**: When rounding a number to a certain decimal place, always identify the midpoint between two possible rounded values to define the error interval.

A number n is rounded to 2 decimal places, and the result is 3.87. Using inequalities, write down the error interval for n.

Explore how to find the error interval for a number n rounded to 2 decimal places, with the result being 3.87. This math problem covers key concepts like rounding and inequalities, ideal for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation