use 3.2x10^4 and 1.95 x 10^6 for steps a,b,c,d. Answers MUST be in correct scientific notation. show work
Multiply 3.2 x 104 and 1.9^5 x 10^6
Step a: Multiply the coefficients: 3.2 x 1.9 = 6.08
Step b: Add the exponents: 10^4 + 10^6 = 10^(4+6) = 10^10
Step c: Write the answer in scientific notation: 6.08 x 10^10
Therefore, the product of 3.2 x 10^4 and 1.95 x 10^6 is 6.08 x 10^10.
To multiply these two numbers in scientific notation (3.2 x 10^4 and 1.95 x 10^6), you can follow these steps:
Step a: Multiply the coefficient (3.2 x 1.95) = 6.24
Step b: Add the exponents (10^4 x 10^6) = 10^(4+6) = 10^10
Step c: Combine the coefficient (6.24) and the exponent (10^10) to express the answer in scientific notation: 6.24 x 10^10.
Therefore, after multiplying 3.2 x 10^4 and 1.95 x 10^6, the answer is 6.24 x 10^10.
To multiply two numbers in scientific notation, you need to multiply their coefficient or mantissa (the numbers before the "x") and add their exponents.
Let's solve the multiplication step by step:
Step A: Multiply the coefficients:
3.2 x 10^4 x 1.95 x 10^6
3.2 x 1.95 = 6.24
Step B: Add the exponents:
10^4 x 10^6 = 10^(4+6) = 10^10
Step C: Place the calculated coefficient (6.24) and the exponent (10) in scientific notation.
The final answer is 6.24 x 10^10.