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 find 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 number of babies born in the U.S.
Step 1: Multiply the average weight of a newborn (7.5 pounds) by the number of babies born in the U.S. (4.1×10^6).
7.5 pounds × 4.1×10^6 babies = 30.75×10^6 pounds
Step 2: Simplify the answer by changing it to scientific notation.
30.75 × 10^6 pounds = 3.075 × 10^(6+1) pounds
Step 3: Express the answer to the exact decimal place.
3.075 × 10^(6+1) pounds = 3.075 × 10^7 pounds
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.
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 (7.5 pounds) by the number of babies born (4.1×10^6).
7.5 pounds x 4.1×10^6 babies = 30.15×10^6 pounds
Now, we need to express this in scientific notation.
30.15×10^6 pounds = 3.015×10^7 pounds
Therefore, the approximate total weight of all the babies born in the U.S. in a year is 3.015×10^7 pounds.
To find the 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.
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
Total weight = 7.5 pounds × 4.1×10^6
Now we multiply the average weight by the number of babies born:
7.5 × 4.1 = 30.75
To write the answer in scientific notation to the exact decimal place, we shift the decimal point to the left until there is only one digit to the left of the decimal point. The number of decimal places needed to shift the decimal point to the left is the exponent in scientific notation.
Approximate total weight = 3.075 × 10^1 pounds
Therefore, the approximate total weight in pounds of all the babies born in the U.S. in a year is 3.075 × 10^1 pounds.