Alright, let's go through the problem step by step:
1. Calculate the difference between 3.14 and 1.674:
- Subtract 1.674 from 3.14.
- This gives a difference of [tex]\(1.4660000000000002\)[/tex].
2. Determine what to add to this difference to achieve the target value of 9:
- Let [tex]\(x\)[/tex] be the number we need to add to the difference.
- The equation to solve is [tex]\(1.4660000000000002 + x = 9\)[/tex].
3. Solve the equation for [tex]\(x\)[/tex]:
- Rearrange the equation to find [tex]\(x\)[/tex]:
[tex]\[
x = 9 - 1.4660000000000002
\][/tex]
4. Calculate the value of [tex]\(x\)[/tex]:
- Subtract [tex]\(1.4660000000000002\)[/tex] from 9.
- This results in [tex]\(x = 7.534\)[/tex].
So, the number that should be added to the difference of 3.14 and 1.674 to get 9 is [tex]\(7.534\)[/tex].
