Question

What is the quotient of

4.644×10^8 and 6.45×10^3
expressed in scientific notation?

a) 7.2×10^4


b) 7.2×10^5


c) 7.2×10^6


d) 7.2×10^7

Answer 1

The quotient of 4.644×108 and 6.45×103 expressed in scientific notation is 7.2×105.

Step-by-step explanation:

To find the quotient of 4.644×108 and 6.45×103 expressed in scientific notation:

1. Divide the decimal numbers: 4.644 divided by 6.45 equals approximately 0.72.
2. Subtract the exponents: 108 divided by 103 is 105 because 8 - 3 equals 5.
3. Combine these results: 0.72 multiplied by 105 is 7.2×104, which is not in proper scientific notation because the number in front of the decimal should be between 1 and 10.
4. Adjust the decimal to be in proper scientific notation: Move the decimal one place to the right, becoming 7.2, and reduce the exponent by one to balance the change: 7.2×105.

Therefore, the quotient expressed in proper scientific notation is 7.2×105, which matches option b).