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When multiplying two numbers in scientific notation, what operations do you use on the coefficients and the exponents of the powers of 10?(1 point) Responses
Add the coefficients and multiply the exponents of the powers of 10.
Add the coefficients and add the exponents of the powers of 10.
Multiply the coefficients and add the exponents of the powers of 10.
Multiply the coefficients and multiply the exponents of the powers of 10.
To multiply two numbers in scientific notation, you multiply the coefficients and add the exponents of the powers of 10.
So, the correct response is: "Multiply the coefficients and add the exponents of the powers of 10."
Can you explained how it isn't : Multiply the coefficients and multiply the exponents of the powers of 10.
Certainly! Let's break down the process step by step:
1. Multiply the coefficients: Start by multiplying the numbers without considering the powers of 10. For example, if you have 2.5 x 10^3 multiplied by 3.6 x 10^4, you would multiply 2.5 and 3.6 to get 9.
2. Multiply the powers of 10: Next, you multiply the powers of 10. In our example, the powers of 10 are 10^3 and 10^4. When you multiply these, you add the exponents, so 10^3 x 10^4 becomes 10^(3+4), which is 10^7.
3. Combine the results: Finally, you combine the results from steps 1 and 2. In our example, the coefficient is 9 and the power of 10 is 10^7. Putting them together, the final result is 9 x 10^7.
Therefore, it is incorrect to say that you multiply the exponents of the powers of 10. Rather, you add the exponents when multiplying the powers of 10.