Almost everyone has a portable device these days. Cell phones, laptops, and video game players are some of these devices. We charge these devices so that we can use them on the go. The amount of remaining batter power is usually shown on these devices. The devices usually show the battery power left as a percentage. My computer is at 73% battery power.
73% as a decimal would be ______ 73% as a simplified fraction would be _____ After about 1,000 charges, smartphone batteries lose about one-fifth of their charging capacity. A brand new phone is currently at 78%. What would this phone's battery percentage show after 1,000 charging cycles? (round to the nearest whole number)
16%
78%
62%
100%
73% as a decimal would be 0.73.
73% as a simplified fraction would be 73/100.
After 1,000 charging cycles, the smartphone battery would have lost about one-fifth of its charging capacity. One-fifth of 78% is 0.2 * 78% = 15.6%. Therefore, the phone's battery percentage would show 78% - 15.6% = 62%.
To convert 73% to a decimal, you divide 73 by 100:
73 ÷ 100 = 0.73
So, 73% as a decimal is 0.73.
To express 73% as a simplified fraction, you write 73% as a fraction with a denominator of 100:
73% = 73/100
Therefore, 73% as a simplified fraction is 73/100.
After about 1,000 charging cycles, smartphone batteries lose about one-fifth of their charging capacity. So, if a brand new phone is currently at 78%, and it loses one-fifth of its charging capacity after 1,000 charges, we need to find one-fifth of 78%.
One-fifth of 78 can be calculated as:
(1/5) × 78 = 15.6
Since the question asks for the battery percentage after 1,000 charging cycles, we subtract 15.6 from 78:
78 - 15.6 = 62.4
Rounding to the nearest whole number, the phone's battery percentage after 1,000 charging cycles would be 62%.
To convert a percentage to a decimal, you divide the percentage by 100.
Therefore, to convert 73% to a decimal, you divide 73 by 100:
73 ÷ 100 = 0.73
So, 73% as a decimal would be 0.73.
To convert a percentage to a simplified fraction, you place the percentage over 100 and simplify if possible.
Therefore, to convert 73% to a simplified fraction, you place 73 over 100 and simplify if possible:
73/100
This fraction cannot be simplified further, so 73% as a simplified fraction would be 73/100.
Next, let's calculate the battery percentage of the phone after 1,000 charging cycles. We know that after about 1,000 charges, smartphone batteries lose about one-fifth (or 20%) of their charging capacity.
If the brand new phone starts at 78%, we need to calculate how much 20% of 78 is by multiplying:
0.2 * 78 = 15.6
The phone would lose 15.6% of its charging capacity after 1,000 charging cycles.
To find the battery percentage after losing 15.6%, we subtract it from the original percentage:
78 - 15.6 = 62.4
After rounding to the nearest whole number, the phone's battery percentage would be 62%.
Therefore, the correct answer is:
62%