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Question
use efficient methods in a photography club, about 48% of the members are girls. if there are 26 members who are girls, explain how you can use mental math to estimate the total number of people in the photography club.
to estimate the total number of people in the photography club, begin by rounding 48% to select choice % and round 26 to select choice . since this is about select choice of the members in the club, then select choice + select choice or select choice people is the approximate number of people in the club.
Step1: Round the percentage
Round 48% to 50% (or $\frac{1}{2}$), since 48% is very close to 50%, which is easy for mental math.
Step2: Round the number of girls
Round 26 to 26 (or 25/30; 26 is close to 2*13, and 50% is half, so 26 is convenient).
Step3: Set up the estimation logic
If 50% (half) of the total members equals the rounded number of girls, then total members ≈ $\frac{\text{rounded number of girls}}{\text{rounded percentage as decimal}}$.
Using 50% = 0.5, we get:
$\text{Total} \approx \frac{26}{0.5} = 26 \times 2 = 52$
Alternatively, if rounding 26 to 25, $\text{Total} \approx \frac{25}{0.5} = 50$, which is also a reasonable estimate.
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First, round 48% to 50% (or $\frac{1}{2}$), a simple fraction for mental math. Round 26 (the number of girls) to itself (or 25 for simplicity). Since 50% means half the total club members are girls, multiply the number of girls by 2: $26 \times 2 = 52$. A reasonable estimate for the total number of people in the photography club is 52 (or 50 if rounding 26 to 25).