What is 5.5×104 multiplied by 2.2×10−8 ? Write the answer in scientific notation.(1 point)
Responses
1.21×10−4
1.21 times 10 superscript negative 4 baseline
1.21×10−3
1.21 times 10 negative cubed
1.21×10−5
1.21 times 10 superscript negative 5 baseline
12.1×10−4
8 months ago
8 months ago
To find the product of 5.5×10^4 and 2.2×10^-8, you can apply the rules of multiplication for numbers in scientific notation.
Step 1: Multiply the numbers without the powers of 10. 5.5 multiplied by 2.2 equals 12.1.
Step 2: Multiply the powers of 10. Add the exponents to find the new exponent. 10^4 multiplied by 10^-8 equals 10^(4-8) which simplifies to 10^-4.
Step 3: Combine the result from step 1 with the result from step 2 to express the final answer in scientific notation. The answer is 12.1×10^-4.
So, the correct answer in scientific notation is 12.1×10^-4.
8 months ago
To multiply two numbers in scientific notation, you multiply the coefficients and add the exponents.
First, multiply the coefficients: 5.5 x 2.2 = 12.1.
Next, add the exponents: 10^4 x 10^-8 = 10^(-4+(-8)) = 10^(-12).
So, the answer in scientific notation is 12.1 x 10^-12.