https://file.aiquickdraw.com/mathbot/file/1729425768277fooylbmd.jpg

The question is asking for the error interval of a number \( x \) rounded to 2 decimal places, where \( x = 7.19 \).

When a number is rounded to two decimal places, the error interval represents the range of possible values that the number could have been before it was rounded. The general rule is:

- The lower bound is the rounded number minus half of the rounding unit.
- The upper bound is the rounded number plus half of the rounding unit.

Since the number is rounded to 2 decimal places, the rounding unit is \( 0.01 \). Half of this unit is \( 0.005 \).

### Error Interval Calculation:
- Lower bound: \( 7.19 - 0.005 = 7.185 \)
- Upper bound: \( 7.19 + 0.005 = 7.195 \)

Thus, the error interval for \( x \) is:

\[
7.185 \leq x < 7.195
\]

This is the range of values \( x \) can take.

Would you like more details on this, or do you have any questions?

Here are five related questions you might find helpful:
1. How is the error interval affected by the number of decimal places?
2. How do you calculate the error interval for a number rounded to the nearest whole number?
3. What happens to the error interval if the number is rounded to more decimal places, e.g., 3 or 4 decimal places?
4. Can the error interval be applied to numbers rounded to significant figures?
5. How would you express the error interval for a negative number?

**Tip**: When calculating error intervals, always remember to add and subtract half of the smallest unit used in rounding.

A number, x, rounded to 2 decimal places is 7.19. Write down the error interval for x.

Learn how to calculate the error interval for a number rounded to two decimal places, using the number 7.19 as an example. This problem covers key mathematical concepts like rounding and error intervals. Suitable for students in Grades 9-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation