1.4335 × 10v9 x 7.786 × 10v8 show your work
To multiply numbers written in scientific notation, you need to multiply the coefficients and add the exponents. Here's how you can calculate it:
(1.4335 × 10^9) × (7.786 × 10^8)
Multiplying the coefficients, we get:
1.4335 × 7.786 = 11.165282
Adding the exponents, we get:
10^9 × 10^8 = 10^(9+8) = 10^17
Therefore, the result is:
11.165282 × 10^17
To multiply numbers written in scientific notation, you can directly multiply the coefficients and add the exponents. Let's solve the problem step by step:
1.4335 × 10^9 multiplied by 7.786 × 10^8
Step 1: Multiply the coefficients: 1.4335 × 7.786 = 11.1552901
Step 2: Add the exponents: 10^9 + 10^8 = 10^(9+8) = 10^17
Therefore, the result is 11.1552901 × 10^17.
Note: Scientific notation represents very large or very small numbers in a concise format by using a coefficient (a decimal number between 1 and 10) multiplied by a power of 10 (the exponent).
To multiply these two numbers in scientific notation, we can multiply the coefficients and add the exponents.
Coefficients:
1.4335 × 7.786 = 11.168110
Exponents:
10^9 × 10^8 = 10^(9+8) = 10^17
So the result is 11.168110 × 10^17