93.5k views
3 votes
What is the quotient of 1.485 x 10⁶ and 4.95 x 10² expressed in science notation
____ x 10^—

User Moonshield
by
9.7k points

1 Answer

2 votes

Final answer:

To find the quotient of 1.485 x 10⁶ and 4.95 x 10², divide 1.485 by 4.95 to get 0.3, then subtract the exponents giving 6 - 2 = 4. Since the coefficient must be between 1 and 10, adjust 0.3 x 10⁴ to 3 x 10⁵.

Step-by-step explanation:

To calculate the quotient of 1.485 x 10⁶ and 4.95 x 10² in scientific notation, we'll perform the division of the numbers outside of the exponents and then subtract the exponents. Here's the step-by-step process:

Divide the coefficients (the numbers in front of the x): 1.485 ÷ 4.95 = 0.3.

Subtract the exponents of 10: 6 (from 10⁶) - 2 (from 10²) = 4.

Express the final result in scientific notation: 0.3 x 10⁴. However, in proper scientific notation, the coefficient should be between 1 and 10. Therefore, we need to adjust the coefficient: 3 x 10⁵.

Thus, the quotient expressed in proper scientific notation is 3 x 10⁵.

User DewinDell
by
8.0k points

Related questions

1 answer
1 vote
192k views
1 answer
2 votes
124k views