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)
When multiplying two numbers in scientific notation, you multiply the coefficients and add the exponents of the powers of 10.
To multiply two numbers in scientific notation, follow these steps:
1. Multiply the coefficients of the two numbers together.
2. Add the exponents of the powers of 10 of the two numbers.
3. If needed, convert the result to scientific notation.
Here's a step-by-step example:
Let's say we want to multiply 3.5 x 10^2 and 2.0 x 10^3.
1. Multiply the coefficients: 3.5 x 2.0 = 7.0
2. Add the exponents: 2 + 3 = 5
3. The result is 7.0 x 10^5.
When multiplying two numbers in scientific notation, you need to perform certain operations on both the coefficients and the exponents of the powers of 10.
To multiply the coefficients, simply multiply them together. For example, if you have 3.2 x 10^4 and 4.5 x 10^2, you would multiply 3.2 and 4.5 to get a coefficient of 14.4.
To find the new exponent of the power of 10, you need to add the exponents together. In the example above, you would add 4 and 2 to get a new exponent of 6.
Then, you write the result in scientific notation by placing the new coefficient followed by the new exponent of the power of 10. So, the product of 3.2 x 10^4 and 4.5 x 10^2 would be written as 14.4 x 10^6.
In summary, when multiplying two numbers in scientific notation, you multiply the coefficients and add the exponents to find the product in scientific notation.