Answer :
Let's convert each of these scientific notation expressions into decimal form step-by-step.
1. Convert [tex]\(2 \times 10^3\)[/tex] to a decimal:
[tex]\[ 2 \times 10^3 = 2 \times 1000 = 2000 \][/tex]
Therefore, [tex]\(2 \times 10^3 = 2000\)[/tex].
2. Convert [tex]\(8 \times 10^7\)[/tex] to a decimal:
[tex]\[ 8 \times 10^7 = 8 \times 10000000 = 80000000 \][/tex]
Therefore, [tex]\(8 \times 10^7 = 80000000\)[/tex].
3. Convert [tex]\(0.64 \times 10^5\)[/tex] to a decimal:
[tex]\[ 0.64 \times 10^5 = 0.64 \times 100000 = 64000 \][/tex]
Therefore, [tex]\(0.64 \times 10^5 = 64000.0\)[/tex].
4. Convert [tex]\(4 \times 10^{-4}\)[/tex] to a decimal:
[tex]\[ 4 \times 10^{-4} = 4 \times 0.0001 = 0.0004 \][/tex]
Therefore, [tex]\(4 \times 10^{-4} = 0.0004\)[/tex].
5. Convert [tex]\(1.82 \times 10^{-7}\)[/tex] to a decimal:
[tex]\[ 1.82 \times 10^{-7} = 1.82 \times 0.0000001 = 0.000000182 \][/tex]
Therefore, [tex]\(1.82 \times 10^{-7} = 1.82 \times 10^{-7} = 0.000000182 = 1.82e-07\)[/tex].
6. Convert [tex]\(3.9 \times 10^{-9}\)[/tex] to a decimal:
[tex]\[ 3.9 \times 10^{-9} = 3.9 \times 0.000000001 = 0.0000000039 \][/tex]
Therefore, [tex]\(3.9 \times 10^{-9} = 0.0000000039 = 3.9e-09\)[/tex].
In summary, the decimal representations of the given scientific notations are:
1. [tex]\(2 \times 10^3 = 2000\)[/tex]
2. [tex]\(8 \times 10^7 = 80000000\)[/tex]
3. [tex]\(0.64 \times 10^5 = 64000.0\)[/tex]
4. [tex]\(4 \times 10^{-4} = 0.0004\)[/tex]
5. [tex]\(1.82 \times 10^{-7} = 1.82e-07\)[/tex]
6. [tex]\(3.9 \times 10^{-9} = 3.9e-09\)[/tex]
1. Convert [tex]\(2 \times 10^3\)[/tex] to a decimal:
[tex]\[ 2 \times 10^3 = 2 \times 1000 = 2000 \][/tex]
Therefore, [tex]\(2 \times 10^3 = 2000\)[/tex].
2. Convert [tex]\(8 \times 10^7\)[/tex] to a decimal:
[tex]\[ 8 \times 10^7 = 8 \times 10000000 = 80000000 \][/tex]
Therefore, [tex]\(8 \times 10^7 = 80000000\)[/tex].
3. Convert [tex]\(0.64 \times 10^5\)[/tex] to a decimal:
[tex]\[ 0.64 \times 10^5 = 0.64 \times 100000 = 64000 \][/tex]
Therefore, [tex]\(0.64 \times 10^5 = 64000.0\)[/tex].
4. Convert [tex]\(4 \times 10^{-4}\)[/tex] to a decimal:
[tex]\[ 4 \times 10^{-4} = 4 \times 0.0001 = 0.0004 \][/tex]
Therefore, [tex]\(4 \times 10^{-4} = 0.0004\)[/tex].
5. Convert [tex]\(1.82 \times 10^{-7}\)[/tex] to a decimal:
[tex]\[ 1.82 \times 10^{-7} = 1.82 \times 0.0000001 = 0.000000182 \][/tex]
Therefore, [tex]\(1.82 \times 10^{-7} = 1.82 \times 10^{-7} = 0.000000182 = 1.82e-07\)[/tex].
6. Convert [tex]\(3.9 \times 10^{-9}\)[/tex] to a decimal:
[tex]\[ 3.9 \times 10^{-9} = 3.9 \times 0.000000001 = 0.0000000039 \][/tex]
Therefore, [tex]\(3.9 \times 10^{-9} = 0.0000000039 = 3.9e-09\)[/tex].
In summary, the decimal representations of the given scientific notations are:
1. [tex]\(2 \times 10^3 = 2000\)[/tex]
2. [tex]\(8 \times 10^7 = 80000000\)[/tex]
3. [tex]\(0.64 \times 10^5 = 64000.0\)[/tex]
4. [tex]\(4 \times 10^{-4} = 0.0004\)[/tex]
5. [tex]\(1.82 \times 10^{-7} = 1.82e-07\)[/tex]
6. [tex]\(3.9 \times 10^{-9} = 3.9e-09\)[/tex]
