Posts Tagged ‘rpahlevanlumath10A’

What I learned this week- Exponents lesson #1

I learned how the exponent laws:

Exponent laws are the rules you follow when you are adding, subtracting, multiplying, or dividing.

The first law is when you are multiplying two numbers with the same base, you add the exponents.

For example: 6^4 x 6^3 = 6^7

The second law is when your dividing two numbers with the same base. You have to divide the exponents.

For example: 6^86^4 = 6^4

The third law is when you are multiplying two numbers by the same exponent. You have to expand out the question then multiply them both by the exponent.

For example:

picture

Then you can expand

picture-2

You can either leave it like that or keep expanding

6x6x8x8

You do the same with division

picture-3

picture-4

When you have two exponents one outside the bracket and one inside the bracket you multiply them.

For example:

picture-5

picture-6

 

 

LCM/ GCF

How to find the LCM

Find the greatest common factor of the two numbers

112 and 700

GCF= 28

2.  Divide one of the numbers by the GCF

112/28= 4

3. Multiply that number by the other number

(4)(700)= 2800

 

How to find the GCF

Write your numbers next to each other

144    132

 

2. Write a number that they are both divisible by underneath

144    132

2

3. Divide them

144    132

2

72    66

4. Keep going until you can’t go anymore

144    132

2

72    66

2

36    33

3

12    11

 

5. Multiply all of the numbers down the middle

(2)(2)(3)= 12

6. 12 is the greatest common factor

I like using the method that we did in class because it is easier to me.