In a given year, about 1.52×10^10

Question

pieces of first-class mail are delivered in the U.S. If each piece of mail carries a stamp costing $0.55, what is the total cost in dollars to deliver all the pieces? Write the answer in scientific notation, expressed to the exact decimal place.(1 point)
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Answer 1

To find the total cost to deliver all the pieces of mail, we can use the following calculation:

Given:

• Number of pieces of mail = $1.52\times {10}^{10}$
• Cost per stamp = $0.55

Total cost can be calculated by multiplying the number of pieces of mail by the cost per stamp:

$$\text{Total Cost}=\text{Number of pieces of mail}\times \text{Cost per stamp}$$

Substituting the values:

$$\text{Total Cost}=(1.52\times {10}^{10})\times 0.55$$

Now, we can perform the multiplication:

$$1.52\times 0.55=0.836$$

Next, we multiply by ${10}^{10}$:

$$\text{Total Cost}=0.836\times {10}^{10}$$

To express this in proper scientific notation, we convert $0.836$ to $8.36$ by moving the decimal one place to the right, which means we decrease the exponent by 1:

$$0.836\times {10}^{10}=8.36\times {10}^9$$

Thus, the total cost in scientific notation is:

$$\boxed{{\displaystyle 8.36\times {10}^9}}$$