April / May 2015 Newsflash: Tips & Techniques

Apr 8, 2015

 

It is important for students to work math problems mentally, as well as algorithmically, in order to become more comfortable with numbers and, over time, develop "Number Sense."

 

Find a "Number Sense" way and an "Algorithmic" way to solve each of the following:

1/2 + 1/3 + 1/6 + 3/17


Number Sense: When you add 1/2 and 1/3, the answer is 5/6.  Now, notice that the next fraction to add is 1/6, so all together you have 6/6 = 1.  From here, we add 1 + 3/17, making 1 3/17 the final answer.


Algorithmic: The least common denominator of 1/2, 1/3, 1/6, and 3/17 is 102. So, add 51/102 + 34/102 + 17/102 + 18/102 to get 120/202. Turn this improper fraction into a mixed number by solving 120 ÷ 102 = 1 r18, which becomes 1 18/102. Simplify this to get 1 3/17.

============================

1/2 x 2/3 x 3/4 x 4/5 x 5/6 x 6/7 x 7/8


Number Sense: We know that when you multiply fractions where the denominator of one term and the numerator of another are the same number, they “cancel” out. So when we look at this problem, we can quickly determine in our minds that 1/2 x 2/3 x3/4 x 4/5 x 5/6 x 6/7 x 7/8 = 1/8.


Algorithmic: Multiply all numerators and all denominators to arrive at the answer 5,040/40,320. Simplify this fraction and you get 1/8.

SEE HOW MATHNASIUM WORKS FOR YOUR SITUATION

Answer a few questions to see how it works

My Child is:

arrow
arrow

OUR METHOD WORKS

Mathnasium meets your child where they are and helps them with the customized program they need, for any level of mathematics.

HELP YOUR CHILD ACHIEVE THEIR FULL MATH POTENTIAL

We have nearly 1,000 neighborhood centers nationwide. Get started now.
  • Find a location
  • Get a math skills assessment for your child
  • Your child will complete a customized learning plan
arrow
Get Started by Finding a Local Center

Math tutors near

Could not find Center, try again