Half of a number

Level 1

Half of the number $2^{12}+3 \times 2^{10}$ is:

2^{9} \times 7

2^{2}+3 \times 2^{10}

2^{11} \times 7

2^{6}+3 \times 2^{5}

2 solutions

Jordan Cahn
Jan 18, 2019

$\begin{aligned} \frac{2^{12}+3\times 2^{10}}{2} &= 2^{11}+3\times2^9 \\ &= 2^9(2^2+3) \\ &= \boxed{2^9\times 7} \end{aligned}$

It should be $2^2$ instead of $2^3$ .

Chew-Seong Cheong - 2 years, 4 months ago

Good catch. Thanks!

Jordan Cahn - 2 years, 4 months ago

Luiz Claudio
Jan 18, 2019

$2^{12} + 3 \times 2^{10} = 2^{10}(2^{2} + 3) = 2^{10} \times 7$

$\frac{2^{10} \times 7}{2} = \boxed{2^{9} \times 7}$

Eu juro solenemente não fazer nada de bom.

Derley Volt - 2 years, 4 months ago