Question

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

Answer 1

Answer:

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

$7.36 - 0.005 = 7.355$

Determine the upper bound

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

so

$7.36 + 0.005 = 7.365$

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

therefore

$7.355\ m \leq L < 7.365\ m$