The weight of an ant averages about 3×10−6 kg. There are about 1×1016 ants in the world. What is the approximate weight in kilograms of all the ants in the world? Write the answer in scientific notation.
To find the approximate weight of all the ants in the world, we need to multiply the weight of one ant by the number of ants.
Weight of one ant = 3×10^-6 kg
Number of ants = 1×10^16
Weight of all ants = (3×10^-6 kg) * (1×10^16 ants)
To multiply numbers in scientific notation, we can multiply the coefficients and add the exponents.
(3×1) * (10^-6 * 10^16) kg
= 3 * 10^(16-6) kg
= 3 * 10^10 kg
So, the approximate weight of all the ants in the world is 3 × 10^10 kilograms.
The average human heart beats about 3.5×107 times per year. The current population of Massachusetts is about 7×106 people. About how many heartbeats occur in Massachusetts per year? Write the answer in scientific notation. Express the answer to the exact decimal place.
To find out how many heartbeats occur in Massachusetts per year, we need to multiply the average number of heartbeats per year by the population of Massachusetts.
Average number of heartbeats per year = 3.5 × 10^7 times
Population of Massachusetts = 7 × 10^6 people
Total number of heartbeats in Massachusetts per year = (3.5 × 10^7 times) * (7 × 10^6 people)
To multiply numbers in scientific notation, we can multiply the coefficients and add the exponents.
(3.5 * 7) * (10^7 * 10^6) times
= 24.5 * 10^(7+6) times
= 24.5 * 10^13 times
So, approximately 2.45 × 10^14 heartbeats occur in Massachusetts per year.
The sun generates about 4×1026 joules of energy every second. There are about 3.15×107 seconds in a year. About how many joules of energy does the sun generate in a year? Write the answer in scientific notation. Express the answer to the exact decimal place.(1 point)
To find out how many joules of energy the sun generates in a year, we need to multiply the amount of energy generated per second by the number of seconds in a year.
Energy generated per second = 4 × 10^26 joules
Number of seconds in a year = 3.15 × 10^7 seconds
Total energy generated in a year = (4 × 10^26 joules) * (3.15 × 10^7 seconds)
To multiply numbers in scientific notation, we can multiply the coefficients and add the exponents.
(4 * 3.15) * (10^26 * 10^7) joules
= 12.6 * 10^(26+7) joules
= 12.6 * 10^33 joules
So, the sun generates approximately 1.26 × 10^34 joules of energy in a year.
he 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
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 × 10^6 babies
Total weight of all babies born in the U.S. in a year = (7.5 pounds) * (4.1 × 10^6 babies)
To multiply numbers in scientific notation, we can multiply the coefficients and add the exponents.
(7.5 * 4.1) * (10^6) pounds
= 30.75 * 10^6 pounds
So, the approximate total weight of all the babies born in the U.S. in a year is 30.75 × 10^6 pounds.
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.
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 × 10^6 babies
Total weight of all babies born in the U.S. in a year = (7.5 pounds) * (4.1 × 10^6 babies)
To multiply numbers in scientific notation, we can multiply the coefficients and add the exponents.
(7.5 * 4.1) * (10^6) pounds
= 30.75 * 10^6 pounds
So, the approximate total weight of all the babies born in the U.S. in a year is 30.75 × 10^6 pounds.