Answer :
Sure, let's break down and interpret each part of the expression given:
1. 4:
- This is a straightforward integer. Its decimal representation is also 4.
2. [tex]\(\frac{6}{5}\)[/tex]:
- This fraction can be converted to a decimal by performing the division:
[tex]\[ \frac{6}{5} = 1.2 \][/tex]
3. [tex]\(\sqrt{5}\)[/tex]:
- The square root of 5 is an irrational number, which can be approximated to several decimal places. Its approximate value is:
[tex]\[ \sqrt{5} \approx 2.23606797749979 \][/tex]
4. 0.95:
- This is already in decimal form, so there's no conversion needed. It simply remains:
[tex]\[ 0.95 \][/tex]
5. [tex]\(\sqrt{9}\)[/tex]:
- The square root of 9 is a whole number since 9 is a perfect square:
[tex]\[ \sqrt{9} = 3 \][/tex]
So, summarizing all the values, we get:
[tex]\[ \left(4, 1.2, 2.23606797749979, 0.95, 3\right) \][/tex]
These are the decimal representations and approximations for each part of the given expression.
1. 4:
- This is a straightforward integer. Its decimal representation is also 4.
2. [tex]\(\frac{6}{5}\)[/tex]:
- This fraction can be converted to a decimal by performing the division:
[tex]\[ \frac{6}{5} = 1.2 \][/tex]
3. [tex]\(\sqrt{5}\)[/tex]:
- The square root of 5 is an irrational number, which can be approximated to several decimal places. Its approximate value is:
[tex]\[ \sqrt{5} \approx 2.23606797749979 \][/tex]
4. 0.95:
- This is already in decimal form, so there's no conversion needed. It simply remains:
[tex]\[ 0.95 \][/tex]
5. [tex]\(\sqrt{9}\)[/tex]:
- The square root of 9 is a whole number since 9 is a perfect square:
[tex]\[ \sqrt{9} = 3 \][/tex]
So, summarizing all the values, we get:
[tex]\[ \left(4, 1.2, 2.23606797749979, 0.95, 3\right) \][/tex]
These are the decimal representations and approximations for each part of the given expression.