176k views
1 vote
(4.5 x 10^7) (3.2 x 10^4)

User John Ng
by
8.8k points

1 Answer

2 votes

Final answer:

To multiply (4.5 x 10^7) and (3.2 x 10^4), multiply the coefficients to get 14.4, then add the exponents to get 10^11, resulting in 14.4 x 10^11. Adjust the coefficient to fall between 1 and 10, resulting in the final answer of 1.44 x 10^12.

Step-by-step explanation:

The student is asking to perform the multiplication of two numbers expressed in scientific notation: (4.5 × 10^7) (3.2 × 10^4). To solve this, we multiply the decimal parts and then we add the exponents of 10:

  • Multiply the coefficients: 4.5 × 3.2 = 14.4
  • Add the exponents: The 10^7 multiplied by 10^4 is equal to 10^(7+4), which is 10^11
  • Thus, the product of the two numbers is 14.4 × 10^11.

In scientific notation, the coefficient should be a number between 1 and 10, so we adjust the coefficient:

  1. 14.4 becomes 1.44 when we divide it by 10.
  2. Since we've divided the coefficient by 10, we need to increase the exponent by 1, making 10^11 become 10^12.
  3. The final answer in proper scientific notation is: 1.44 × 10^12.

User Matt Wiebe
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories