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.(1 point)
kg
To find the number of joules of energy the sun generates in a year, we can multiply the amount of energy generated per second (4×10^26 joules/second) by the total number of seconds in a year (3.15×10^7 seconds).
The calculation would be:
Energy generated by the sun in a year = (4×10^26 joules/second) * (3.15×10^7 seconds)
To multiply the numbers in scientific notation, we add the exponents and multiply the coefficients:
(4 * 3.15) * (10^(26 + 7)) = 12.6 * 10^33
So, the approximate number of joules of energy that the sun generates in a year is 1.26 × 10^34 joules.
To find the weight of all the ants in the world, we can multiply the weight of one ant (3×10−6 kg) by the total number of ants in the world (1×1016 ants).
The calculation would be:
Weight of all ants = (3×10−6 kg) * (1×1016 ants)
To multiply the numbers in scientific notation, we add the exponents and multiply the coefficients:
(3 * 1) * (10^(-6 + 16)) = 3 * 10^10
So, the approximate weight in kilograms of all the ants in the world is 3 × 10^10 kg.
To find the number of heartbeats that occur in Massachusetts per year, we can multiply the average number of heartbeats per year (3.5×107) by the current population of Massachusetts (7×106 people).
The calculation would be:
Number of heartbeats in Massachusetts per year = (3.5×107 beats/year) * (7×106 people)
To multiply the numbers in scientific notation, we add the exponents and multiply the coefficients:
(3.5 * 7) * (10^(7 + 6)) = 24.5 * 10^13
So, the approximate number of heartbeats that occur in Massachusetts per year is 2.45 × 10^14 beats per year.
To find the total cost in dollars to deliver all the pieces of mail, we can multiply the number of pieces of mail (1.52×10^10) by the cost of a stamp ($0.55).
The calculation would be:
Total cost to deliver all the pieces of mail = (1.52×10^10 pieces) * ($0.55/stamp)
To multiply the numbers in scientific notation, we multiply the coefficients and keep the exponent the same:
(1.52 * 0.55) * (10^10) = 0.836 * 10^10
So, the approximate total cost to deliver all the pieces of mail is $8.36 × 10^9.
3.075 x 10^7
To multiply 5.5×10^4 by 2.2×10^-8, we multiply the coefficients and add the exponents:
(5.5 * 2.2) * (10^(4 + (-8))) = 12.1 * 10^(-4)
So, the answer is 1.21 × 10^(-3).
When multiplying two numbers in scientific notation, we multiply the coefficients and add the exponents of the powers of 10.
To find the total volume of 1.5×10^6 sugar cubes, we multiply the volume of one sugar cube (4.9 ml) by the total number of sugar cubes (1.5×10^6).
The calculation would be:
Total volume of sugar cubes = (4.9 ml) * (1.5×10^6 sugar cubes)
To multiply the numbers in scientific notation, we multiply the coefficients and keep the exponent the same:
(4.9 * 1.5) * (10^0 * 10^6) = 7.35 * 10^6
So, the total volume of 1.5×10^6 sugar cubes is 7.35 × 10^6 ml.
To multiply 0.75 by 2.8×10^ -5, we multiply the coefficients and add the exponents:
0.75 * 2.8 * 10^(-5) = 2.1 * 10^(-5)
So, the result is 2.1 × 10^(-5).