A penny weighs 5.8x10^-3 lb. How many pennies are in a pile of pennies that weighs 3.596x10^4 lb? Write the answer in scientific notation.
To find the number of pennies in a pile that weighs 3.596x10^4 lb, we need to divide the total weight of the pile by the weight of an individual penny.
Weight of the pile = 3.596x10^4 lb
Weight of an individual penny = 5.8x10^-3 lb
Number of pennies = Weight of the pile / Weight of an individual penny
= (3.596x10^4 lb) / (5.8x10^-3 lb)
= (3.596/5.8) x (10^4/10^-3)
= 0.62 x 10^7
= 6.2x10^6
Therefore, there are 6.2x10^6 pennies in the pile.
To find the number of pennies in the pile, we need to divide the total weight of the pile by the weight of each individual penny.
Weight of each penny = 5.8x10^-3 lb
Weight of the pile = 3.596x10^4 lb
Number of pennies in the pile = (Weight of the pile) / (Weight of each penny)
Number of pennies = (3.596x10^4 lb) / (5.8x10^-3 lb)
To divide these two numbers in scientific notation, we divide the coefficients and subtract the exponents:
Number of pennies = (3.596 / 5.8) x (10^4 / 10^-3)
Simplifying the exponents:
Number of pennies = (3.596 / 5.8) x 10^(4 + 3)
Number of pennies = 0.62 x 10^7
Writing the answer in scientific notation:
Number of pennies = 6.2x10^6
To find the number of pennies in a pile, we need to divide the weight of the pile by the weight of a single penny.
First, let's convert the weight of a penny from pounds to the same unit as the weight of the pile. The weight of a penny is given as 5.8x10^-3 lb.
Now, let's convert the weight of the pile from scientific notation to decimal notation. The weight of the pile is 3.596x10^4 lb.
To convert from scientific notation to decimal notation, we need to move the decimal point to the right or left depending on the exponent of 10.
In this case, the exponent of 10 is positive, so we move the decimal point to the right. We move it 4 places because the exponent is 4.
3.596x10^4 = 35960
Now, let's divide the weight of the pile by the weight of a single penny to find the number of pennies in the pile.
Number of pennies = Weight of the pile / Weight of a single penny
= 35960 / 5.8x10^-3
To divide by a number in scientific notation, we can divide the decimal parts and subtract the exponents of 10.
In this case, we divide 35960 by 5.8 and subtract the exponents of 10: -3 - (-3) = -3 + 3 = 0
Number of pennies = 6193.1034
Since we can't have a fraction of a penny, we need to round the answer to the nearest whole number.
Rounding 6193.1034 to the nearest whole number gives 6193.
Therefore, there are 6193 pennies in the pile.
The answer in scientific notation is 6.193x10^3.