Question
3. Write the following numbers in ascending order of size: \( 0,2 \times 10^{8} \) \( 3,25 \times 10^{7} \) \( 0,0156 \times 10^{9} \)
Ask by Gibson Park. in South Africa
Mar 14,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The numbers in ascending order are:
\( 0,0156 \times 10^{9} \), \( 0,2 \times 10^{8} \), \( 3,25 \times 10^{7} \).
Solution
1. First, convert each number to its standard form.
- For \( 0,2 \times 10^{8} \):
\[
0,2 \times 10^{8} = 0.2 \times 100\,000\,000 = 20\,000\,000
\]
- For \( 3,25 \times 10^{7} \):
\[
3,25 \times 10^{7} = 3.25 \times 10\,000\,000 = 32\,500\,000
\]
- For \( 0,0156 \times 10^{9} \):
\[
0,0156 \times 10^{9} = 0.0156 \times 1\,000\,000\,000 = 15\,600\,000
\]
2. Now, compare the values:
\[
15\,600\,000 < 20\,000\,000 < 32\,500\,000
\]
3. Therefore, writing the numbers in ascending order, we have:
\[
0,0156 \times 10^{9}, \quad 0,2 \times 10^{8}, \quad 3,25 \times 10^{7}
\]
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Simplify this solution Mind Expander
To compare these numbers, we can first express them in standard decimal notation. 1. \( 0,2 \times 10^{8} = 20,000,000 \) 2. \( 3,25 \times 10^{7} = 32,500,000 \) 3. \( 0,0156 \times 10^{9} = 15,600,000 \) Now, in ascending order: \( 0,0156 \times 10^{9} (15,600,000) < 0,2 \times 10^{8} (20,000,000) < 3,25 \times 10^{7} (32,500,000) \) So the numbers in ascending order are: \( 0,0156 \times 10^{9}, 0,2 \times 10^{8}, 3,25 \times 10^{7} \).
