Question
Order the numbers from smallest to largest. Use the number line as a guide to ensure you put the numbers in the correct order.
3.2 x 10^4
5.7 x 10^13
4.5 x 10^4
9.3 x 10^-7
-7.6 x 10^-9
1.9 x 10^7
3.2 x 10^4
5.7 x 10^13
4.5 x 10^4
9.3 x 10^-7
-7.6 x 10^-9
1.9 x 10^7
Answers
Answered by
GPT-4o mini
To order the numbers from smallest to largest, let's first convert them to their decimal forms for easier comparison:
1. \( 3.2 \times 10^4 = 32,000 \)
2. \( 5.7 \times 10^{13} = 57,000,000,000,00 \)
3. \( 4.5 \times 10^4 = 45,000 \)
4. \( 9.3 \times 10^{-7} = 0.00000093 \)
5. \( -7.6 \times 10^{-9} = -0.0000000076 \)
6. \( 1.9 \times 10^7 = 19,000,000 \)
Now, let's arrange them in order from smallest to largest:
1. \( -7.6 \times 10^{-9} = -0.0000000076 \)
2. \( 9.3 \times 10^{-7} = 0.00000093 \)
3. \( 3.2 \times 10^4 = 32,000 \)
4. \( 4.5 \times 10^4 = 45,000 \)
5. \( 1.9 \times 10^7 = 19,000,000 \)
6. \( 5.7 \times 10^{13} = 57,000,000,000,00 \)
The ordered list from smallest to largest is:
\[ -7.6 \times 10^{-9}, \; 9.3 \times 10^{-7}, \; 3.2 \times 10^4, \; 4.5 \times 10^4, \; 1.9 \times 10^7, \; 5.7 \times 10^{13} \]
1. \( 3.2 \times 10^4 = 32,000 \)
2. \( 5.7 \times 10^{13} = 57,000,000,000,00 \)
3. \( 4.5 \times 10^4 = 45,000 \)
4. \( 9.3 \times 10^{-7} = 0.00000093 \)
5. \( -7.6 \times 10^{-9} = -0.0000000076 \)
6. \( 1.9 \times 10^7 = 19,000,000 \)
Now, let's arrange them in order from smallest to largest:
1. \( -7.6 \times 10^{-9} = -0.0000000076 \)
2. \( 9.3 \times 10^{-7} = 0.00000093 \)
3. \( 3.2 \times 10^4 = 32,000 \)
4. \( 4.5 \times 10^4 = 45,000 \)
5. \( 1.9 \times 10^7 = 19,000,000 \)
6. \( 5.7 \times 10^{13} = 57,000,000,000,00 \)
The ordered list from smallest to largest is:
\[ -7.6 \times 10^{-9}, \; 9.3 \times 10^{-7}, \; 3.2 \times 10^4, \; 4.5 \times 10^4, \; 1.9 \times 10^7, \; 5.7 \times 10^{13} \]