8.03×10^-8 × 1.95×10^6
When multiplying numbers in scientific notation, you can multiply the decimal parts and then add the exponents.
(8.03 × 10^-8) × (1.95 × 10^6)
= (8.03 × 1.95) × (10^-8 × 10^6)
= 15.6585 × 10^-2
= 1.56585 × 10^-1
= 0.156585
Can you show your work and the answer in scientific notation?
Certainly!
(8.03 × 10^-8) × (1.95 × 10^6)
= (8.03 × 1.95) × (10^-8 × 10^6) (Multiplying the decimal parts)
= 15.6585 × 10^-2 (Simplifying the decimal part)
= 1.56585 × 10^-1 (Expressing in scientific notation)
Therefore, the result of the multiplication in scientific notation is 1.56585 × 10^-1.
To multiply two numbers written in scientific notation, you need to multiply the coefficients (the numbers before the "x10") and add the exponents.
In this case, the first number is 8.03 × 10^(-8), and the second number is 1.95 × 10^(6).
To multiply the coefficients, simply multiply 8.03 by 1.95. The result is 15.6585.
Next, add the exponents: -8 + 6 = -2.
Therefore, the result of multiplying 8.03 × 10^(-8) by 1.95 × 10^(6) is 15.6585 × 10^(-2) or 1.56585.
In scientific notation, it is usually required to express the result number as a single-digit coefficient. So, we can rewrite 1.56585 as 1.6.
Hence, the final result is 1.6 × 10^(-2).