Help with questions please! :)

Any smart people care to help me out with a couple of questions I am stuck on?

1)

Show three methods that could be used to calculate 26 x 12 without using formal multiplication algorithms. Explain which of these is most efficient and why.

2)

- Use words or symbols to state the distributive law for multiplication over addition.

2. Explain how the distributive law can be used to calculate 59 x 73 + 59 x 27 mentally.

Re: Help with questions please! :)

Quote:

Originally Posted by

**JDC182** 1)

Show three methods that could be used to calculate 26 x 12 without using formal multiplication algorithms. Explain which of these is most efficient and why.

$\displaystyle 26\times 12=26(10+2)=260+52=~?$

Re: Help with questions please! :)

Hello, JDC182!

Quote:

2. Explain how the distributive law can be used to calculate 59 x 73 + 59 x 27 mentally.

$\displaystyle 59\times73 + 59\times 27 \;=\; 59 \times (73 + 27) \;=\;59\times 100 \;=\;5900$