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 battery 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. (2 points)

Question

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 battery 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. (2 points)

73% as a decimal would be
. 73% as a simplified fraction would be

Question 2
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)(1 point)
Responses

16%
16%

78%
78%

62%
62%

100%

Answer 1

Question 1:

To convert 73% to a decimal, divide it by 100:
73% = 73/100 = 0.73

To convert 73% to a simplified fraction, divide it by 100 and simplify if possible:
73% = 73/100 (no simplification is possible)

Therefore, the answers to question 1 are:
73% as a decimal = 0.73
73% as a simplified fraction = 73/100

Question 2:
After 1,000 charging cycles, a smartphone battery loses about one-fifth of its charging capacity, which is equivalent to 20%.
To calculate the new battery percentage, subtract 20% from the initial percentage of 78%:
78% - 20% = 58%

Therefore, the answer to question 2 is:
After 1,000 charging cycles, the phone's battery percentage would show approximately 58%.

Answer 2

Question 1:

To convert 73% to a decimal, divide 73 by 100:

73/100 = 0.73

So, 73% as a decimal is 0.73.

To convert 73% to a simplified fraction, divide 73 by 100 and simplify if possible:

73/100 cannot be simplified further.

So, 73% as a simplified fraction is 73/100.

Answer 1:

73% as a decimal is 0.73.
73% as a simplified fraction is 73/100.

Question 2:

If a brand new phone is currently at 78% battery power and loses one-fifth of its charging capacity after 1,000 charging cycles, we need to find out how much one-fifth of 78% is and subtract it from 78%.

One-fifth of 78% is calculated by multiplying 78 by 1/5:

78 * (1/5) = 15.6

So, one-fifth of 78% is 15.6%.

Now, subtract this 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%.

Answer 2:

After 1,000 charging cycles, the phone's battery percentage would show 62%.

Answer 3

Question 1:

To convert a percentage to a decimal, you divide the percentage by 100. In this case, to convert 73% to a decimal, you would divide 73 by 100:

73 ÷ 100 = 0.73

Therefore, 73% as a decimal would be 0.73.

To convert a percentage to a simplified fraction, you divide the percentage by 100 and simplify the fraction. In this case, to convert 73% to a fraction, you would divide 73 by 100 and simplify:

73 ÷ 100 = 73/100

To simplify this fraction, you can divide both the numerator and denominator by their greatest common factor, which is 1 in this case:

73/100 ÷ 1/1 = 73/100

Therefore, 73% as a simplified fraction would be 73/100.

Question 2:

If a smartphone battery loses one-fifth of its charging capacity after about 1,000 charges, it means the remaining charging capacity would be four-fifths (or 80%) of the original capacity.

To calculate the battery percentage after 1,000 charging cycles, you would multiply the original battery percentage by 80%:

78% * 80% = 0.78 * 0.8 = 0.624

To convert this decimal to a percentage, you multiply it by 100 and round to the nearest whole number:

0.624 * 100 = 62.4

Rounding to the nearest whole number, the phone's battery percentage would show 62% after 1,000 charging cycles.

Therefore, the answer is 62%.