To solve the problem of arranging the given numbers from least to greatest, let's convert each number into a comparable form by expressing them in standard numerical notation:
1. [tex]\( 0.53 \times 10^7 \)[/tex]
[tex]\[
0.53 \times 10^7 = 0.53 \times 10,000,000 = 5,300,000
\][/tex]
2. [tex]\( 5300 \times 10^{-1} \)[/tex]
[tex]\[
5300 \times 10^{-1} = 5300 \times 0.1 = 530
\][/tex]
3. [tex]\( 5.3 \times 10^5 \)[/tex]
[tex]\[
5.3 \times 10^5 = 5.3 \times 100,000 = 530,000
\][/tex]
4. [tex]\( 530 \times 10^8 \)[/tex]
[tex]\[
530 \times 10^8 = 530 \times 100,000,000 = 53,000,000,000
\][/tex]
Now, we have the converted numbers:
1. [tex]\( 5,300,000 \)[/tex]
2. [tex]\( 530 \)[/tex]
3. [tex]\( 530,000 \)[/tex]
4. [tex]\( 53,000,000,000 \)[/tex]
Next, let's arrange these numbers in ascending order:
1. [tex]\( 530 \)[/tex]
2. [tex]\( 530,000 \)[/tex]
3. [tex]\( 5,300,000 \)[/tex]
4. [tex]\( 53,000,000,000 \)[/tex]
Thus, when we arrange them from least to greatest, the order is:
[tex]\( 5300 \times 10^{-1}, 5.3 \times 10^5, 0.53 \times 10^7, 530 \times 10^8 \)[/tex]
So, the correct answer is:
A. [tex]\( 5300 \times 10^{-1}, 5.3 \times 10^5, 0.53 \times 10^7, 530 \times 10^8 \)[/tex]
