Question

The state lottery had a jackpot of $5.2 × 10⁷. Last week, the winners were a group of office employees that included 13 people. How much would each person receive? Write your answer in scientific notation.

Answer 1

When dividing the lottery jackpot of $5.2 \times 10^7 amongst 13 winners, each winner would receive $4 \times 10^6, which is expressed in scientific notation.

Step-by-step explanation:

To calculate how much each person would receive from the lottery jackpot of $5.2 \times 10^7, we need to divide the total sum by the number of winners. With 13 winners, the calculation will be $5.2 \times 10^7 \div 13.

The division of 5.2 by 13 is 0.4. Therefore, each person would receive $0.4 \times 10^7, or 4 \times 10^6, since moving the decimal point one place to the right in the numerator (0.4 to 4) decreases the exponent in the denominator from 7 to 6. Expressed in scientific notation, each person would receive $4 \times 10^6.