Elementary Mathematics

Adding Bases

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234 Base Five + 42 Base Five =TIP: 5=10 6=11 7=12 8=131 1234+42331

Dividing Fractions

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3/4 ./. 3/8 ( 3/4 into groups of 3/8)2 groups of 3/8's can fit into the group of 3/4's.

Fractions to Decimals

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3/4 -- .75 or 75%4/5 -- .81/10 -- .12/5 -- .43/5 or 6/10 -- .61/3 --.3333/10 -- .33/5 -- .6

Cornell notes

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When writing Cornell notes, make sure you separate your paper into 4 sections. There is a formula vocabulary section, a connection section, a equation/problem section and where you work out the problem section. Under the formula vocabulary section, you write your equation or main problem in that section by itself so you can later fold over and study/ quiz yourself. Then work your problems out under the wider section right below the connection section. Each step in working the problems are a different color, 4 colors total.

Connections

Share the connections you found while working

Formula Vocabulary

Write out any important formulas and/or vocabulary terms in relation to lesson

Equation/Problem

Write the equation or problem out

Problem worked out

1st color of your choice: usually the color you wrote the equation in the section next to it. rewrite equation.

Ex: 5-9x=3-4x

Add 9 to both sides of the equal sign to combine like terms with 4x. Bring down the 5 and = sign with 3+5x. 5=3+5x

Now subtract 3 to both sides so you're left with, 2=5x.

With your last color is the lastt step: you divide 5 to both side and end up with. x=2/5.

Adding/ Subtracting Integers

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EX: 5-7 +++++ Zero Bank(because do not have enough positives): ++++ Circle 7 +symbols(+++++++ and leave the extra zero bank ones) to have only 2 negatives at the bottom left over.

Divisibility Rules

2

Even numbers in the ones place value that is a evens. Show a student by the place values and not by saying the end of the number.

Example: 1546 the ones place value is an even number

3

Add all the digits if answer is divisible by 3. If it is a number over a hundred, you will separate each digit and add together to see if it results to a number that is divisible by 3.

Example: 474
4+7+4 =15 (Which is divisible by 3).

4

The last two digits are divisible by 4. No matter how large the number is, the last two digits (Tenths & ones place values) will by divisible by 4.

Example:34,117,916
16 are the last two digits in this number and 16 is divisible by 4.

5

Number ends in a zero or a 5 itself.

Example: 74,825

6

If a number is divisible by 2 and 3 than it is divisible by 6.

Example: 12

8

The last 3 digits are divisible by 8.

Example: 52,864

9

Add the digits divisible by 9. Just like number 3 rules above.

10

If a number ends in Zero.

Example: 20.
30
40

Division by primes

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2l 20 16 302l10 8 15 : If it doesn't go into one of the numbers than just bring it down.5l 5 4 152l1 4 3 1 2 32*2*2*2*3*52^4*3*5

Adding Fractions

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Example:1/2+1/3 You first have to find common denominators (bottom numbers), which means finding the same common multiple to make sure each denominator is the same. The easiest way to find the answer is to multiply the bottoms by the opposite denominators.1/2(3/3) + 1/3(2/2)3/6+2/65/6

Subtracting Fractions

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1/2-1/3It was similar to adding fractions, except that you are not taking away apart of a fraction. Multiply both sides by the opposite denominator. 1/2-1/31/2(3/3)-1/3(2/2)3/6-2/61/6

What problems mean in words

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3(-4) : Three groups of four negatives-3(4) : Take away 3 groups of 4 negatives3(1/2) : Three groups of 1/2 positives1/2 ./. (1/3) : 1/2 is equal to how many groups of 1/3