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How FOIL Can Help Your Math Skills

Have you heard of FOIL - not the aluminum kind, but the one that can help you multiply faster? Keep on reading The Math Dude to learn more!

By
Jason Marshall, PhD
5-minute read
Episode #229

Challenge Problem SolutionSolution: Challenge Problem

If we split 74 into 70 + 4 and 45 into 40 + 5, the problem 74 • 45 becomes 74 • 45 = (70 + 4) • (40 + 5).

Using FOIL, we get 74 • 45 = (70 • 40) + (70 • 5) + (4 • 40) + (4 • 5.) These are all fairly easy to solve in your head, which means you can quickly calculate

74 • 45 = 2800 + 350 + 160 + 20 = 3330. Done!

Wrap Up

Okay, that’s all the math we have time for today.

For more fun with math, please check out my book, The Math Dude’s Quick and Dirty Guide to Algebra. And remember to become a fan of The Math Dude on Facebook, where you’ll find lots of great math posted throughout the week. If you’re on Twitter, please follow me there, too.

Until next time, this is Jason Marshall with The Math Dude’s Quick and Dirty Tips to Make Math Easier. Thanks for reading, math fans!

Aluminum foil image courtesy of Shutterstock.

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About the Author

Jason Marshall, PhD

Jason Marshall is the author of The Math Dude's Quick and Dirty Guide to Algebra. He provides clear explanations of math terms and principles, and his simple tricks for solving basic algebra problems will have even the most math-phobic person looking forward to working out whatever math problem comes their way.