Answer :
Sure, here's a detailed, step-by-step solution to solve the given problems:
### Problem 1: [tex]\( 36.2 - 21.89 \)[/tex]
1. Round to the nearest one (integer):
- [tex]\( 36.2 \)[/tex] rounds to [tex]\( 36 \)[/tex]
- [tex]\( 21.89 \)[/tex] rounds to [tex]\( 22 \)[/tex]
2. Estimate the difference:
[tex]\[
36 - 22 = 14
\][/tex]
So the estimated difference for the first problem is [tex]\( 14 \)[/tex].
### Problem 2: [tex]\( 44.18 - 33.05 \)[/tex]
1. Round to the nearest one (integer):
- [tex]\( 44.18 \)[/tex] rounds to [tex]\( 44 \)[/tex]
- [tex]\( 33.05 \)[/tex] rounds to [tex]\( 33 \)[/tex]
2. Estimate the difference:
[tex]\[
44 - 33 = 11
\][/tex]
So the estimated difference for the second problem is [tex]\( 11 \)[/tex].
### Summary of results:
1. For [tex]\( 36.2 - 21.89 \)[/tex], the estimated difference is [tex]\( 14 \)[/tex].
2. For [tex]\( 44.18 - 33.05 \)[/tex], the estimated difference is [tex]\( 11 \)[/tex].
These are the rounded and estimated differences for the given problems.
### Problem 1: [tex]\( 36.2 - 21.89 \)[/tex]
1. Round to the nearest one (integer):
- [tex]\( 36.2 \)[/tex] rounds to [tex]\( 36 \)[/tex]
- [tex]\( 21.89 \)[/tex] rounds to [tex]\( 22 \)[/tex]
2. Estimate the difference:
[tex]\[
36 - 22 = 14
\][/tex]
So the estimated difference for the first problem is [tex]\( 14 \)[/tex].
### Problem 2: [tex]\( 44.18 - 33.05 \)[/tex]
1. Round to the nearest one (integer):
- [tex]\( 44.18 \)[/tex] rounds to [tex]\( 44 \)[/tex]
- [tex]\( 33.05 \)[/tex] rounds to [tex]\( 33 \)[/tex]
2. Estimate the difference:
[tex]\[
44 - 33 = 11
\][/tex]
So the estimated difference for the second problem is [tex]\( 11 \)[/tex].
### Summary of results:
1. For [tex]\( 36.2 - 21.89 \)[/tex], the estimated difference is [tex]\( 14 \)[/tex].
2. For [tex]\( 44.18 - 33.05 \)[/tex], the estimated difference is [tex]\( 11 \)[/tex].
These are the rounded and estimated differences for the given problems.
