Question

The length L of a steel rod is 7.36cm, correct to 2 decimal places. complete the error interval of L length

Answer 1

The error interval for L is

[7.355,7.365)

Step-by-step explanation:

we know that

In this problem

The least significant digit is in the hundredths place.

so

The error can be as much  0.005 m

Determine the lower bound

To find out the lower bound subtract the error from the value

so

Determine the upper bound

To find out the upper bound adds the error to the value

so

Since 7.365 is rounded up to 7.37, the maximum value of L must be less than that.

7.355\ m \leq L < 7.365\ m

Answer 2

Given:

The length L of a steel rod is 7.36cm, correct to 2 decimal places.

To find:

Complete the error interval of L length

Solution:

The error interval of length in terms of 1 decimal centimetre is given as follows.

1 cm

⇒ 1 cm /2 = 0.5 cm

So, we are supposed to add and subtract the given number by 0.5 cm to obtain the upper and lower boundaries.

From given, we have the data as follows.

7.36cm

The upper boundary:

7.36 + 0.5 = 7.86 cm

The lower boundary:

7.36 - 0.5 = 6.86 cm

Therefore, the error interval of L 7.36 cm length is (6.86, 7.86)