Multiply. Write the result in scientific notation.
(1.4 x 10^1)(8 x 10^4)
11.2 x 10^5 or 1.12 x 10^6
Multiply. Write the result in scientific notation.
(1.7 x 10^-4)(5 x 10^-5)
8.5 x 10^-10
To multiply two numbers written in scientific notation, you need to multiply the coefficients and add the exponents.
Step 1: Multiply the coefficients: 1.4 * 8 = 11.2
Step 2: Add the exponents: 10^1 * 10^4 = 10^(1+4) = 10^5
Therefore, (1.4 x 10^1)(8 x 10^4) = 11.2 x 10^5.
In scientific notation, the result is 1.12 x 10^6.
To multiply numbers in scientific notation, you need to multiply the numerical parts and add the exponents. Let's break it down step-by-step:
1. Multiply the numerical parts: 1.4 * 8 = 11.2.
2. Add the exponents: 10^1 * 10^4 = 10^(1+4) = 10^5.
3. Write the result in scientific notation: 11.2 * 10^5.
Therefore, the result in scientific notation is 1.12 x 10^6.