125k views
5 votes
What is the result of (6.2 × 10 4) x (3.3 × 10 2) expressed in scientific notation?

User SkyLeach
by
6.6k points

2 Answers

3 votes

Final answer:

The multiplication of (6.2 × 10^4) by (3.3 × 10^2) results in 2.046 × 10^7, when expressed in scientific notation.

Step-by-step explanation:

The result of the multiplication (6.2 × 104) × (3.3 × 102), expressed in scientific notation, involves multiplying the coefficients (6.2 and 3.3) and then adding the exponents of 10 (4 and 2). It's important to recall that we must perform both steps to arrive at the correct answer in scientific notation.

The product of the coefficients is 20.46 and when we add the exponents the result is 106. So the multiplication gives us 20.46 × 106, but in correct scientific notation, we want the coefficient to be between 1 and 10. To achieve this we adjust the coefficient to 2.046 and increase the exponent by 1, giving us the result: 2.046 × 107.

User Celise
by
6.9k points
5 votes
in scientific notation there are some rules;
1) the decimal point is comes to the first non-zero degit.
2) if the decimal point comes from left to right the power of ten must be negative.
3) if the decimal point comes from right to left then the power of 10 is possitive.
the numberyou wrote is an scientific form.you must say that expressed in standard form.write brother.
User Oneway
by
6.6k points