Question: When floating point numbers (i.e. float) are added in C round off errors can occur if the numbers differ by more than 7 significant digits.

When floating point numbers (i.e. float) are added in C round off errors can occur if the numbers differ by more than 7 significant digits. For example, if a = 100,000,000 and b = 1 then c = a + b will differ from its exact value. Write a program roundoff.c to illustrate this. Your program should prompt the user for two numbers and then compute and print the sum and should look like:

Enter a number: 100000000

Enter another number which is significantly smaller: 1

The sum of 100000000.000000 and 1.000000 is 100000000.000000

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