Question
Question
Fill in the blanks with the correct steps for solving: (3.71×105)+(4.65×107)
(5 points)
Step 1:
to get the exponents the same for adding in Scientific Notation.
Step 2:
to change the coefficient on the term that the exponent was changed.
Step 3:
the coefficients.
Step 4:
exponents to simplify.
Step 5:
is the final answer in Scientific Notation.
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Fill in the blanks with the correct steps for solving: (3.71×105)+(4.65×107)
(5 points)
Step 1:
to get the exponents the same for adding in Scientific Notation.
Step 2:
to change the coefficient on the term that the exponent was changed.
Step 3:
the coefficients.
Step 4:
exponents to simplify.
Step 5:
is the final answer in Scientific Notation.
Skip to navigation
Answers
GPT-4o mini
To solve the expression \( (3.71 \times 10^5) + (4.65 \times 10^7) \) in Scientific Notation, you can follow these steps:
**Step 1:** Adjust the exponents to be the same for adding in Scientific Notation.
*Change \( 4.65 \times 10^7 \) to \( 46.5 \times 10^6 \) so both terms have the same exponent, \( 10^6 \).*
**Step 2:** Change the coefficient on the term that the exponent was changed.
*Now we have \( 3.71 \times 10^5 \) as \( 0.371 \times 10^6 \); thus, we have \( (0.371 \times 10^6) + (46.5 \times 10^6) \).*
**Step 3:** Add the coefficients.
*Now we can add \( 0.371 \) and \( 46.5 \) to get \( 46.871 \).*
**Step 4:** Adjust the exponents to simplify.
*Combine this back to scientific notation as \( 4.6871 \times 10^7 \) (since \( 46.871 \) can be expressed as \( 4.6871 \) with an exponent increase of 1).*
**Step 5:** Write the final answer in Scientific Notation.
*The final answer is \( 4.6871 \times 10^7 \).*
Putting it all together:
1. Adjust the exponents to be the same for adding in Scientific Notation.
2. Change the coefficient on the term that the exponent was changed.
3. Add the coefficients.
4. Adjust the exponents to simplify.
5. Write is the final answer in Scientific Notation.
**Step 1:** Adjust the exponents to be the same for adding in Scientific Notation.
*Change \( 4.65 \times 10^7 \) to \( 46.5 \times 10^6 \) so both terms have the same exponent, \( 10^6 \).*
**Step 2:** Change the coefficient on the term that the exponent was changed.
*Now we have \( 3.71 \times 10^5 \) as \( 0.371 \times 10^6 \); thus, we have \( (0.371 \times 10^6) + (46.5 \times 10^6) \).*
**Step 3:** Add the coefficients.
*Now we can add \( 0.371 \) and \( 46.5 \) to get \( 46.871 \).*
**Step 4:** Adjust the exponents to simplify.
*Combine this back to scientific notation as \( 4.6871 \times 10^7 \) (since \( 46.871 \) can be expressed as \( 4.6871 \) with an exponent increase of 1).*
**Step 5:** Write the final answer in Scientific Notation.
*The final answer is \( 4.6871 \times 10^7 \).*
Putting it all together:
1. Adjust the exponents to be the same for adding in Scientific Notation.
2. Change the coefficient on the term that the exponent was changed.
3. Add the coefficients.
4. Adjust the exponents to simplify.
5. Write is the final answer in Scientific Notation.