The average newborn weighs 7.5 pounds. About 4.1×106 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.
pounds
To calculate the approximate total weight of all babies born in the U.S. in a year, we can 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 in the U.S. = 4.1 × 10^6
Total weight = Average weight × Number of babies born
= 7.5 pounds × 4.1 × 10^6
To express the answer in scientific notation, we multiply the decimal part of the answer by the appropriate power of 10.
Total weight = 7.5 × 4.1 × 10^6 pounds
= 30.75 × 10^6 pounds
≈ 3.075 × 10^7 pounds (rounded to the nearest decimal place)
Therefore, the approximate total weight in pounds of all the babies born in the U.S. in a year is approximately 3.075 × 10^7 pounds.
To find the total weight of all the babies born in the U.S. in a year, we can 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 in the U.S. = 4.1×10^6
Total weight = 7.5 pounds/baby × 4.1×10^6 babies
Multiplying these numbers gives us:
Total weight = 31,500,000 pounds
In scientific notation, this can be expressed as:
Total weight = 3.15×10^7 pounds
It 3.075*10^7
To calculate the approximate total weight of all the babies born in the U.S. in a year, we can multiply the average weight of a newborn by the total number of babies born.
Average weight of a newborn = 7.5 pounds
Total number of babies born in the U.S. = 4.1 × 10^6
Total weight of all babies born in the U.S. = (average weight of a newborn) × (total number of babies born)
Total weight = 7.5 pounds × 4.1 × 10^6
To multiply these numbers, we multiply the average weight (7.5) by the coefficient of the total number of babies born (4.1) and add the exponents of 10.
7.5 × 4.1 × 10^6 = 30.75 × 10^6
To express the result in scientific notation, we write 30.75 as 3.075 × 10^1 and combine it with the exponent of 10^6, which becomes 10^7.
So, the approximate total weight of all the babies born in the U.S. in a year is 3.075 × 10^7 pounds.