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)
To multiply two numbers in scientific notation, you need to multiply the coefficients and 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 together.
2. Add the exponents of the powers of 10 together.
When multiplying two numbers in scientific notation, you use the following operations on the coefficients and exponents of the powers of 10:
1. Multiply the two coefficients together. This gives you the new coefficient of the result.
2. Add the two exponents of the powers of 10 together. This gives you the new exponent of the result.
Here's a step-by-step breakdown of the process:
1. Consider two numbers in scientific notation: 𝑎 × 10^𝑏 and 𝑐 × 10^𝑑.
2. Multiply the coefficients 𝑎 and 𝑐: 𝑎 × 𝑐 = 𝑥.
3. Add the exponents 𝑏 and 𝑑: 𝑏 + 𝑑 = 𝑦.
4. The result of the multiplication in scientific notation will be 𝑥 × 10^𝑦.
So, to multiply two numbers in scientific notation, multiply the coefficients and add the exponents to get the result in scientific notation.