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.

Question

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%

Answer 1

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%.