The average newborn weighs 7.5 pounds. About 4.1 × 10^6 babies are born in the United States every year. What is the approximate total weight in pounds of all the babies born in the U.S. in a year? Write the answer in scientific notation, expressed to the exact decimal place.
To find the total weight of all the babies born in the U.S. in a year, we need to multiply the average weight of a newborn by the number of babies born.
Average weight of a newborn = 7.5 pounds
Number of babies born = 4.1 × 10^6
Total weight = Average weight × Number of babies
Total weight = 7.5 pounds × 4.1 × 10^6 babies
To multiply these numbers, we multiply the average weight by the coefficient of the number of babies and then add the exponents:
Total weight = 7.5 × 4.1 × 10^6 pounds
Total weight = 30.75 × 10^6 pounds
In scientific notation, with the coefficient expressed to one decimal place, the approximate total weight of all the babies born in the U.S. in a year is 3.1 × 10^7 pounds.
To calculate the approximate total weight in pounds of all the babies born in the U.S. in a year, we need to multiply the average weight of a newborn by the number of babies born in the U.S. each year.
Average weight of a newborn = 7.5 pounds
Number of babies born in the U.S. each year = 4.1 × 10^6
To find the total weight, we multiply these two values:
Total weight = Average weight of a newborn × Number of babies born in the U.S. each year
Total weight = 7.5 pounds × 4.1 × 10^6
To simplify the calculation, we can express the average weight of a newborn in scientific notation:
Total weight = 7.5 × 4.1 × 10^6 pounds
Multiplying 7.5 by 4.1 gives us:
Total weight = 30.75 × 10^6 pounds
Therefore, the approximate total weight in pounds of all the babies born in the U.S. in a year is 30.75 × 10^6 pounds.
To find the approximate total weight of all babies born in the U.S. in a year, we can multiply the average weight of a newborn (7.5 pounds) by the number of babies born (4.1 × 10^6).
The calculation would be:
Average weight of a newborn * Number of babies born = Total weight
7.5 pounds * 4.1 × 10^6 babies = Total weight
To multiply these numbers in scientific notation, you can multiply the coefficients (7.5 * 4.1) and add the exponents to get:
30.75 × 10^6
However, to express this in scientific notation to the exact decimal place, we can convert 30.75 to scientific notation first. There are two decimal places in 30.75, so we move the decimal point two places to the left:
30.75 = 3.075 × 10^1
Now, we can rewrite the total weight in scientific notation with the exact decimal place:
3.075 × 10^1 × 10^6 = 3.075 × 10^7
Therefore, the approximate total weight of all the babies born in the U.S. in a year is 3.075 × 10^7 pounds, expressed to the exact decimal place.