MTE 280- Cbeery

This can be solved by downward division with the base number being the number we will divide from.If the base is 5 and the base 10 number is 1525 then it would look like this:5|_1525__Then solve how 5 would go into 1525.

You can solve this by multiplying how many times the number goes into each unit, long, and flat.It consists of exponents and each number has its of exponent.For example;1525 would be 1^3+5^2+2^1+5^0That being said the ones place is a zero exponent, tens place is a one exponent, hundreds place is a two exponent, thousands is a three exponent, and so on.If the Base is 5 and the Number is 1525 then it would be solved looking like this.1(5^3)+5(5^2)+2(5^1)+5(5^0)Without a calculator you would multiply the 5 by itself as many times as the number of the exponentFor Example;5^2 would be 255^3 would be 125 multiplying 5*5*5

This means to understand the problem you are looking at Step 2 would be to develop how you would solve the problemStep 3 is how you are actually going to carry out the problemThe last step is to look over the answer and make sure it was done correctly.

Inductive: Finding a patternDeductive: Not in a pattern but in knowledge of the problem or concept

Units are the first measurement and the smallest. Usually in the ones digits place 125_

Longs are the bigger than units but smaller than flatsUsually in the tens place number 12_7

This is the biggest a set of 3 numbers can be after flats go back to units and keep going in sets of threes It's usually the hundreds place 1_57

32 21 7 12 8 16+22---------Count to ten the make a slash on the number and keep doing that until the bottom. The remainder of that goes on the bottom.

Addition24+52=20+450+2Do this then add all of it togetherMultiplication24x45= 20+4x 40+5---------- 8001600 100+ 20------2,520Do this while multiplying

Addition232+425-------(Draw a box then add downward)001+850-------851 (Answer)Multiplication43x78--------Make a box then put the first number on top and the second number on the side (Watch Video)

Addition 231+432--------600 60+ 3-----663You literally add left to right instead of right to left Multiplication 57x 29--------40001000 1401800 450+ 63_______7,453

Base 10 blocks is when you draw all lines insideArea Model is not drawing out all the lines and just making boxes

This method is where you set every number that you can do base 10 so that it is easier to add all up.12+24+28+36+4210+30+30+30+42 They both equal the same but its more friendly to add up the second one

Trading off is.. 24+29-------------- 23+30--------------Answer: 53You trade only some of the numbers to the other number to make it a base 10 number

When adding and subtracting using tiles you look at the numbers you have and it tells you the negatives and the positives.4 + (-5)++++_ _ _ _ _You then see what you have in common and find the zero pairs . For this particular question the Answer is -1. If it's negative you Keep Change ChangeFor bigger numbers that are being added and subtracted you only use one subtraction and addition sign. -30+(-25)_ (--)If its both negative inside the parenthethes then you add the numbers together if they are opposite signs then it is subtrating the numbers

-2(3)This is the same thing as 0-2(3)It says there are 2 groups of 3. However the zero just means you take away 2 groups of 3. -2(3) +++ +++ ++_ _ _ _ _ _ _ _The you take away 3 groups of the positive numbers so it equals to -6. You do this because it beings with a zero therefore there are zero pairs.

LCM - Least Common Multiple, everything that they both have even if it isn't commonGCF - Greatest Common Factor, what they both have but the least exponent 28 2 I 362 x 14 2 I 18 2 x 7 3 I 9 3Find one by multiplying prime factors. Start with 2 because that is the easiest prime number. For the other number use long division. 28 (2 x 2 x 7)36 (2 x 2 x 3 x 3)The LCM is 2squared x 3squared x 7The GCF is 2squared

3/7The 3 is how much you haveThe 7 is the size of the whole piece

Addition 1/4 + 3/81 (4) / 2x2 (4) + 3 (2) / 4x2 (2)4/16 + 6/16 = 10/16Use prime factors to solve for adding fractions. For subtraction you do the same thing except for adding the fractions together you subtract.

When the denominator is the same the bigger numerator is the greater number. 3/17 < 5/17When the numerator is the same the denominator that's less is the greater number. 6/11 > 6/13When the fraction has no similar part then you look at it like anchor fractions. You havee to figure out which piece has less of space that it has to take up. 13/14 < 16/17

The easy way of solving for multiplying fractions is drawling it out.

Grouping Exponents Multiplication/Division Addition/Subtraction GEMDAS deals with groups so its better than PEMDAS because it makes more since (THAT'S WHY CASEY)

2- If the last-digit is even 3- The sum of digits in number divided by 3 4- Last 2 digits in number divided by 4 5- Ends in a 5 or zero 6- If divisible by 2 and 3 then 6 will work8- The last 3 digits in number divided by 8 9- The sum of digits in number divided by 910- Ends in a Zero

Repeated Subtraction : You subtract instead of grouping things together. You never have to carry. You subtract the number by the bigger number until you cannot anymore. Upward Division: Simplifying a fraction. So if you have 35/4 you see how many times 4 will go into 35 and solve from there.