Krypto Question

numbers: 2,3,8,14,20=7
answer: 8+14-20+2+3=7

Krypto Question

13,7,1,5,6=2

Mrs.Boughton put the answer on the board to be 3, but on the post it said 2. I got an answer for both, it's just for the answer to be 2 i could only get 4 numbers in the equation.

1.   (Answer for 3)          (13+1)'/.7+6-5=3

2.   (Answer for 2)           13-7-5+1=2

'/. -- this is suppose to be a division sign, there was no divisions signs on my laptop.

Rounding & Estimating

Rounding: 
When it comes to rounding, it's really simple. If you were asked to round, go by these rules. 
1) If it's 5 and higher: round UP
2) If it's any number lower than 5: round down. 
For example, I chose the number 126. In this case, we're rounding it up to the nearest ten. Since it ends in a "6", we would have to go up. The number would now be 130.
If the number was 124, we would round it to 120 since 4 is lower than 5.

Estimating:
In some or most cases, estimating has to do with rounding. To estimate is to take a smart guess, but there has to be a reason.
For example:
- Adding: 126+163
     I could round 126 to 130 and I could round 163 to 160. So now the two numbers are 130 and 160.
     130+160= 190. 
     Now if you calculate the actual number, it would be 289. 

-Subtracting: 352-221
    I could round 352 to 350 and 222 to 220.
    350-220= 130
    Now if you calculate the actual number, it would be 131. 

In some cases, the two answers could be pretty close. 

Rounding and Estimating

Rounding- To round you need to take your number that your working with, so lets say I'm working with the number 63. If your number is 0 - 4 your going to round to a lower number, so if you want to round to your nearest tenth you look for the number after your tenths unit which is a 3, since 3 is under 4 your going to round down to 60. Say my number was 67, you're going to round up to 70, your going to do this because any number from 5 - 9, is going to be rounded up since these numbers are closer to the next tenth.


Estimating- To estimate, what I do is I round first. Lets say I want to add 56 and 32, to estimate this I round first. So, 56 rounded to the nearest tenth would be 60 because it's a greater number than 4, then we take the 32 and round it to the nearest tenth, which is 30. It's rounded to 30 because it's a lower number than 4. After you round your numbers you can add, subtract, multiply, etc. Now lets take the numbers we rounded, which is 60 and 30, add them together making 90. Since it's an estimation it is not going to be exact.

Mixed Numbers and Improper Fractions

        Today, we will be talking about mixed numbers and improper fractions, but before that, lets talk about what a fraction is.

        A fraction describes a part of a whole. The number on the bottom of the fraction is called a denominator, and it denotes how many equal parts the whole is divided into. The number on the top of the fraction is called a numerator, and it denotes how many parts we are taking. For example, the fraction 3/4 denotes 3 of 4 equal parts. 3 is the numerator and 4 is the denominator.

        Now, that to know what a fraction is, we will be talking about mixed numbers.
        
        A mixed number is composed of a whole number and a fraction. 6 2/3, 18 3/4 and 2 2/5 are all examples of mixed numbers.

Converting Improper Fractions into Mixed Numbers:

        Divide the numerator by the denominator. The resultant becomes the whole number, and the remainder becomes the numerator of the new fraction. The denominator of the new fraction is the same as the old denominator. If there is no remainder, then there is no fraction, the result is simply a whole number. 

For example, we can convert 22/5 into a mixed number.
22/5= 4
Remainder= 2
Mixed Number: 4 2/5

Converting Mixed Numbers into Improper Fractions:

        To convert a mixed number into an improper fraction, multiply the whole number by the denominator and add it to the numerator. This becomes the numerator of the improper fraction; the denominator of the new fraction is the same as the original denominator.

For example, we can convert 7 8/3 into an improper fraction.
7 x 3= 21
21+8= 29
Improper Fraction: 29/3



           

Adding Fractions

There are 3 Simple Steps to add fractions:

Step 1: Make sure the bottom numbers (the denominators) are the same
Step 2: Add the top numbers (the numerators), put the answer over the denominator.
Step 3: Simplify the fraction (if needed).

Example 1:

1	+	1
4		4

Step 1. The bottom numbers (the denominators) are already the same. Go straight to step 2.

Step 2. Add the top numbers and put the answer over the same denominator:

1	+	1	=	1 + 1	=	2
4		4		4		4

Step 3. Simplify the fraction:

2	=	1
4		2

In picture form it looks like this:

1/4	+	1/4	=	2/4	=	1/2

... and do you see how ²/₄ is simpler as ¹/₂ ? (see Equivalent Fractions.)

Example 2:

1	+	1
3		6

Step 1: The bottom numbers are different. See how the slices are different sizes?

1/3	+	1/6	=	?

We need to make them the same before we can continue, because we can't add them like that.

The number "6" is twice as big as "3", so to make the bottom numbers the same we can multiply the top and bottom of the first fraction by 2, like this:

× 2

1	=	2
3		6

× 2

Important: you multiply both top and bottom by the same amount,
to keep the value of the fraction the same

Now the fractions have the same bottom number ("6"), and our question looks like this:

2/6	+	1/6

The bottom numbers are now the same, so we can go to step 2.

Step 2: Add the top numbers and put them over the same denominator:

2	+	1	=	2 + 1	=	3
6		6		6		6

In picture form it looks like this:

2/6	+	1/6	=	3/6

Step 3: Simplify the fraction:

3	=	1
6		2

In picture form the whole answer looks like this:

2/6	+	1/6	=	3/6	=	1/2

Example 3:

1	+	1
3		5

Again, the bottom numbers are different (the slices are different sizes)!

1/3	+	1/5	=	?

But let us try dividing them into smaller sizes that will each be the same:

5/15	+	3/15

The first fraction: by multiplying the top and bottom by 5 we ended up with ⁵/₁₅ :

× 5

1	=	5
3		15

× 5

The second fraction: by multiplying the top and bottom by 3 we ended up with ³/₁₅ :

× 3

1	=	3
5		15

× 3

The bottom numbers are now the same, so we can go ahead and add the top numbers:

5/15	+	3/15	=	8/15
Making the Denominators the Same In the previous example how did we know to cut them into 1/15ths to make the denominators the same? Read how to do this using either one of these methods: Common Denominator Method, or the Least Common Denominator Method They both work, use whichever you prefer! Example: Cupcakes You are going to make and sell cupcakes: A friend can supply the ingredients, if you give them 1/3 of sales And a market stall costs 1/4 of sales How much is that altogether? We need to add 1/3 and 1/4 1 + 1 = ? 3 4 ? First make the bottom numbers (the denominators) the same. Multiply top and bottom of 1/3 by 4: 1 × 4 + 1 = ? 3 × 4 4 ? And multiply top and bottom of 1/4 by 3: 1 × 4 + 1 × 3 = ? 3 × 4 4 × 3 ? Now do the calculations: 4 + 3 = 4+3 = 7 12 12 12 12 Answer: 7/12 of sales go in ingredients and market costs.

How to add fraction with like and unlike denominators
  
How to Add Fraction with like denominator

When adding fractions with like denominator it's very easy, you only have to add both numerator and you will get your answer.  

How to Add Fraction with unlike denominator

When adding fractions with unlike denominator it's not that difficult, you have to multiply both denominator to make it the same you also have to multiply the numerator too! What you used to multiply the denominator,you use the same number to multiply the numerator then you add the new fractions and you will get your answer.