To determine which number has the lowest value among the given expressions, we need to evaluate each expression separately.
1. Evaluate [tex]\(2 - 0.8 - 0.2\)[/tex]:
[tex]\[
2 - 0.8 = 1.2
\][/tex]
[tex]\[
1.2 - 0.2 = 1.0
\][/tex]
So, the value of [tex]\(2 - 0.8 - 0.2\)[/tex] is [tex]\(1.0\)[/tex].
2. Evaluate [tex]\(1 + 0.2 - 0.4\)[/tex]:
[tex]\[
1 + 0.2 = 1.2
\][/tex]
[tex]\[
1.2 - 0.4 = 0.8
\][/tex]
So, the value of [tex]\(1 + 0.2 - 0.4\)[/tex] is [tex]\(0.8\)[/tex].
3. Evaluate [tex]\(1 - 0.5 + 0.4\)[/tex]:
[tex]\[
1 - 0.5 = 0.5
\][/tex]
[tex]\[
0.5 + 0.4 = 0.9
\][/tex]
So, the value of [tex]\(1 - 0.5 + 0.4\)[/tex] is [tex]\(0.9\)[/tex].
4. Evaluate [tex]\(2 - 0.3 - 0.6\)[/tex]:
[tex]\[
2 - 0.3 = 1.7
\][/tex]
[tex]\[
1.7 - 0.6 = 1.1
\][/tex]
So, the value of [tex]\(2 - 0.3 - 0.6\)[/tex] is [tex]\(1.1\)[/tex].
Now, let's compare the resulting values:
[tex]\[
1.0, \quad 0.8, \quad 0.9, \quad 1.1
\][/tex]
The number with the lowest value among these is [tex]\(0.8\)[/tex].
Therefore, the expression [tex]\(1 + 0.2 - 0.4\)[/tex] has the lowest value, which is [tex]\(0.8\)[/tex].
