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Questions and Answers
What is the result of $(4.5 \times 10^3) + (2.3 \times 10^3)$ expressed in scientific notation?
What is the result of $(4.5 \times 10^3) + (2.3 \times 10^3)$ expressed in scientific notation?
- $6.8 \times 10^3$ (correct)
- $6.8 \times 10^{-3}$
- $6.8 \times 10^0$
- $6.8 \times 10^6$
Which of the following expressions requires adjusting the exponents before performing the subtraction?
Which of the following expressions requires adjusting the exponents before performing the subtraction?
- $(9.2 \times 10^7) - (3.1 \times 10^7)$
- $(7.6 \times 10^5) - (2.4 \times 10^8)$ (correct)
- $(5.8 \times 10^{-3}) - (1.5 \times 10^{-3})$
- $(4.9 \times 10^{-6}) - (2.7 \times 10^{-6})$
Evaluate: $(8.2 \times 10^4) - (6.1 \times 10^3)$
Evaluate: $(8.2 \times 10^4) - (6.1 \times 10^3)$
- $2.1 \times 10^7$
- $2.1 \times 10^1$
- $7.69 \times 10^4$ (correct)
- $7.59 \times 10^3$
What is the first step in evaluating $(2.5 \times 10^{-2}) + (5.0 \times 10^{-3})$?
What is the first step in evaluating $(2.5 \times 10^{-2}) + (5.0 \times 10^{-3})$?
After converting $(4.0 \times 10^2)$ to have the same exponent as $(6.0 \times 10^3)$, what is the new representation of $(4.0 \times 10^2)$?
After converting $(4.0 \times 10^2)$ to have the same exponent as $(6.0 \times 10^3)$, what is the new representation of $(4.0 \times 10^2)$?
Flashcards
Key rule for adding/subtracting in scientific notation?
Key rule for adding/subtracting in scientific notation?
Exponents must be identical before performing addition or subtraction.
Adding/subtracting with same exponents?
Adding/subtracting with same exponents?
Add or subtract the coefficients directly, keeping the exponent the same.
Adding/subtracting with different exponents?
Adding/subtracting with different exponents?
Convert one of the numbers so that both exponents are equal before adding or subtracting.
How to change an exponent in scientific notation?
How to change an exponent in scientific notation?
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What is (5.6 \times 10^6) + (3.2 \times 10^5)?
What is (5.6 \times 10^6) + (3.2 \times 10^5)?
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Study Notes
- Key rule: exponents must be the same before adding or subtracting
When Exponents Are the Same
- In an addition or subtraction problem, add or subtract as normal
Example: (3.2 x 10^5) + (4.1 x 10^5)
- Add coefficients = 3.2 + 4.1 = 7.3
- Write answer = 7.3 x 10^5
When Exponents Are Different
- When the exponents are different in an addition or subtraction equation, convert them so they are equal
Example: (5.6 x 10^6) + (3.2 x 10^5)
- Convert the numbers = 3.2 x 10^5 = 0.32 x 10^6
- Add the coefficients = 5.6 + 0.32 = 5.92
- Write the answer = 5.92 x 10^6
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Description
Learn how to add and subtract numbers in scientific notation. We'll cover adding/subtracting when exponents are the same or different. Examples are included.
