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.(1 point)
The approximate total weight in pounds of all the babies born in the U.S. in a year can be calculated by multiplying 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 = 7.5 pounds/baby * 4.1×10^6 babies
Multiplying these numbers, we get 3.075×10^7.
To find the approximate 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 x 10^6
Multiplying these values:
7.5 pounds * 4.1 x 10^6 babies
= 30.75 x 10^6 pounds
In scientific notation, this is approximately 3.075 x 10^7 pounds.
To find the approximate 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.
Step 1: Convert the average weight of a newborn to scientific notation.
The average weight of a newborn is 7.5 pounds. Since we want to write it in scientific notation, we need to move the decimal point until we have a number between 1 and 10. In this case, 7.5 is already in the correct format, so we can write it as 7.5 × 10^0.
Step 2: Convert the number of babies born to scientific notation.
The number of babies born in the U.S. every year is 4.1 × 10^6. This is already in scientific notation.
Step 3: Multiply the two numbers together.
To multiply these two numbers, we multiply the coefficients (7.5 × 4.1) and add the exponents (10^0 × 10^6).
7.5 × 10^0 × 4.1 × 10^6 = (7.5 × 4.1) × 10^(0 + 6) = 30.75 × 10^6
Step 4: Write the answer in scientific notation, expressed to the exact decimal place.
The result of the multiplication is 30.75 × 10^6. We can express this number in scientific notation with the decimal place after the first digit: 3.075 × 10^7.
Therefore, the approximate total weight in pounds of all the babies born in the U.S. in a year is 3.075 × 10^7 pounds.