When multiplying two numbers in scientific notation, what operations do you use on the coefficients and the exponents of the powers of 10?(1 poi
When multiplying two numbers in scientific notation, you multiply the coefficients together and then add the exponents of the powers of 10.
When multiplying two numbers in scientific notation, you use the following operations on the coefficients and the exponents of the powers of 10:
1. Multiply the coefficients: Multiply the two numbers without considering the powers of 10. This gives you the new coefficient of the resulting number.
2. Add the exponents: Add the exponents of the powers of 10. This gives you the new exponent of the resulting number.
Here's an example to illustrate:
Let's say we have two numbers in scientific notation: 3.45 x 10^2 and 2.5 x 10^3.
Step 1: Multiply the coefficients: 3.45 x 2.5 = 8.625
Step 2: Add the exponents: 2 + 3 = 5
Putting the results together, the product of these two numbers in scientific notation is 8.625 x 10^5.
When multiplying two numbers in scientific notation, you multiply the coefficients and add the exponents of the powers of 10.
Here are the steps:
1. Multiply the coefficients (the numbers before the powers of 10).
2. Add the exponents (the powers of 10).
3. Simplify the result, if possible, by adjusting the coefficient and exponent to ensure the expression remains in proper scientific notation.
For example, let's say we want to multiply 2.5 x 10^4 and 3.2 x 10^3.
1. Multiply the coefficients: 2.5 * 3.2 = 8.0.
2. Add the exponents: 10^4 + 10^3 = 10^(4+3) = 10^7.
3. Simplify the result: 8.0 x 10^7.
So, 2.5 x 10^4 multiplied by 3.2 x 10^3 is equal to 8.0 x 10^7.