An online data storage facility has 1.326 ×10^13 bytes of storage available. It has 2.6 ×10^4 customers. How many bytes of storage can each customer use? Write your answer in scientific notation, expressed to the exact decimal place.

Answer 1

To find the number of bytes of storage each customer can use, we need to divide the total available storage by the number of customers.

Total available storage = 1.326 × 10^13 bytes
Number of customers = 2.6 × 10^4

Dividing the total available storage by the number of customers:

1.326 × 10^13 bytes / 2.6 × 10^4 customers

We can simplify this by dividing the coefficients and subtracting the exponents:

(1.326 / 2.6) × 10^(13 - 4) bytes

Calculating the coefficient:

1.326 / 2.6 ≈ 0.5100

The exponent remains the same:

10^(13 - 4) = 10^9

The answer is 0.5100 × 10^9 bytes or 5.100 × 10^8 bytes, expressed in scientific notation to the exact decimal place.

Answer 2

A city lunch program for seniors received a grant of 1.925×10^6 dollars. Divide that figure by the cost of $2.75 per lunch to find out how many senior lunches the grant can provide. Write the answer in scientific notation.

Answer 3

To find out how many senior lunches the grant can provide, we need to divide the total grant amount by the cost of each lunch.

Total grant amount = 1.925 × 10^6 dollars
Cost of each lunch = $2.75

Dividing the total grant amount by the cost of each lunch:

1.925 × 10^6 dollars / $2.75

We can simplify this division:

1.925 × 10^6 / 2.75 ≈ 700,000

The answer is 7 × 10^5 senior lunches, expressed in scientific notation.