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Integers are all negative whole numbers and all positive whole numbers AND zero. The negative integers are on the left side, and the positive number are on the right side.

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Adding two integers with different signs is done by subtracting the absolute values, and then attaching the sign of the number with the greater absolute value.

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1. Find the absolute values of the given numbers.

2. If both the numbers are of the same sign, then add the values. Attach the common sign with the answer.

3. If they have different signs, then subtract them and find the difference between the absolute values.

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Estimate each product

First, round any numbers which are two digits or larger. For numbers with two digits, round to the nearest tens place, for numbers with three digits, round to the nearest hundreds place, etc. Then multiply together the rounded numbers. This will give you the estimate of the product.

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absolute value of 8? 8

|-200| = 200
The absolute value of a number is the distance from zero.
|-6283|= 6283

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When adding decimals, you have to line the decimals points  up. Then add the numbers as with whole numbers. Add the digits in the same place-value position.

Example: 4.9 + 3.0 = 7.9

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Adding and subtracting decimals is basically the same as the addition and subtraction of whole numbers but remember that the decimal point needs to be in place. This concept is important for when you deposit money from your bank account and can be used in situations like that.

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Multiply Fractions

Find 1/3 x 1/4. Write in simplest form.

Multiply both numerators and denominators. Then simplify if needed. If the numerators and denominators have a common factor, you can simplify before multiplying.

__1x 1__ = 1/12
3 x 4

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a fraction whose denominator is a power of ten and whose numerator is expressed by figures placed to the right of a decimal point.
Multiplying decimals is hard for me because I don't know my times tables but i think this is a cool subject.

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Add and subtract decimals

Line up the decimal points vertically. Fill in any 0's where necessary. 2) Add or subtract the numbers as if they were whole numbers. 3) Place the decimal point in the sum or difference so that it lines up vertically with the numbers being added or subtracted.

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What is a sum?
A sum is the result of adding together a set of numbers. A sum is the total amount calculated by addition of those numbers. The calculation performed is called addition or summation.

A sum can be used to simply calculate a total amount such as, counting the number of people on each floor of a building then adding those numbers together to get the total amount of people in the building. You can also use the sum of a set of numbers to calculate the statistical average and mean of those numbers.The most important thing is to do is to under line the decimal.

Ex= 54.7+21.4=76.1

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Writing a Integer

In Mathematics, integers are the collection of whole numbers and negative numbers. Similar to whole numbers, integers also does not include the fractional part. Thus, we can say, integers are numbers that can be positive, negative or zero, but cannot be a fraction.

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1) Line up the decimal points vertically. Fill in any 0's where necessary. 2) Add or subtract the numbers as if they were whole numbers. 3) Place the decimal point in the sum or difference so that it lines up vertically with the numbers being added or subtracted.

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Estimate the product of 37 and 72. Ans: We round up 37 to the nearest tens which are 40 and 72 is rounded down to the nearest 10 which is 70. Multiplying 40 x 70 we get 2800. Our estimated product is 2800.

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Decimals

Line up the decimal points vertically. Fill in any 0's where necessary. 2) Add or subtract the numbers as if they were whole numbers. 3) Place the decimal point in the sum or difference so that it lines up vertically with the numbers being added or subtracted. For example 12.5+6.23=18.73

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20% of 300 is 60.
Cooley:  Part = % x Whole.
This is the Percent Equation.
60 = 0.2 x 300

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50% of 200
= 0.5 x 200 = 100

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To change a decimal to a fraction, find the digit to the right. What is the place value? This becomes the denominator, for example 0.12 is equal to 12/100. This simplifies to 3/25.

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Ratios.

There are 9 quarters and 3 pennies.
The ratio is 9 to 3. But you can simplify this to 3 to 1.

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A ratio is an ordered pair of numbers. A proportion is a calculation where two ratios are put equal to each other.
For example, if there are 1 oranges and 3 apples you could write the ratio as:
1 : 3
1/4 are oranges and 3/4 are apples
0.25 are oranges
25% are oranges (as a percent)

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In mathematics, a ratio shows how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six. Similarly, the ratio of lemons to oranges is 6:8 and the ratio of oranges to the total amount of fruit is 8:14.

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Graphing proportional relationships are relationships where the ratio between the two variables is always the same. For example, we consider the relationship between x and y. When x is one, y is three. Another example on how to graph is; (3, 20) you start on 3 and then go up to 20 and place a dot there.

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30% means 30 divided by 100. The decimal is 0.3. The fraction is 3/10.

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Percents to Decimals:
To convert a percentage to a decimal, divide by 100. So 25% is 25/100, or 0.25. To convert a decimal to a percentage, multiply by 100 (just move the decimal point 2 places to the right).

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to turn a  decimal to a fraction,find the place value of the digit on the right.The value becomes the denomintor. For example,
0.25 becomes 25/100. This simply to 1/4.

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DIMENSIONAL ANALYSIS

COOLEY: Christian, explain it in your words...

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1. Percent of a Number

You can use fractions & decimals to find the percent of a number. To find the percent of a number, write the percent as a fraction w/ a denominator of 100. Then multiply the fraction by the number.

EX: 128% of 550 = 704

- Write 128% as a fraction, 128/100.
- Since, finding the fraction of a number is the same as multiplying the fraction with the number, we have: 128/100 of 550 = 128/100 x 550.
- Therefore, the answer is 704. If you are using a calculator, simply enter 128 ÷ 100 × 550 which will give you 704 as the answer.

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A score in a sport is a ratio
10 to 15 is a ratio
10:15 is a ratio
ratio of lines to dots?
-------------
...........

The ratio is 12 to 11 :)

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A unit rate compares two numbers with different units. For example a cheese burger costs four dollars and the unit rate is four dollars divided by one burger. How much would three cheese burgers cost? $4 times three 3.

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A unit rate compares 2 numbers with different units. For example a cheese burger cost $4 the unit rate is $4 divided by 1 burger how much would 3 cheese burgers cost? 4 dollars times 3.

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 Joseph Martinez (Estimate the Percent of a Number) 

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 Joseph Martinez (Estimate the Percent of a Number) 

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Example: Estimate 47% of 692
First 47% is close to 50% or 1/2 so round 692 to 700.
1/2 of 700 is 350 (1/2 or half means to divide by 2)
SO, 47% of 692 is about 350

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Graph Ratio Tables:
The coordinate plane is formed when two perpendicular number lines intersect at their zero points. This point is called the origin, The horizontal number line is called the x-axis and the vertical number line is called the y-axis. An ordered pair, such as (2,3) is a pair of numbers used to locate a point on the coordinate plane.
Vocabulary Words:
Coordinate Plane, origin, x-axis, y-axis, ordered pair, x-coordinate, y-coordinate, and graph.

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Write each decimal as a fraction in simplest form: Jacob Ruano

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Write each decimal as a fraction in simplest form: Jacob Ruano

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Every fraction is a decimal.

A fraction is one whole number divided by another (but we can't divide by zero). Every fraction, small or large, positive or negative, can be written as a decimal. For example, 1/2 = 0.5, 1/3 = 0.333… and 1/7 = 0.142857142857… – where the '142857' repeats forever! Every fraction is a decimal.
A fraction has two parts. The number on the top of the line is called the numerator. It tells how many equal parts of the whole or collection are taken. The number below the line is called the denominator.

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Percent to decimal= divide the percent by 100.
Example= 40% = 40/100 = 0.4
Move the decimal two places to the right.

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The greatest common factor is the greatest factor that divides both numbers. To find the greatest common factor, first list the prime factors of each number. 18 and 24 share one 2 and one 3 in common. We multiply them to get the GCF, so 2 * 3 = 6 is the GCF of 18 and 24.

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Write down the two numbers, one under the other, with the decimal points lined up.Add zeros so the numbers have the same length.Then subtract normally, remembering to put the decimal point in the answer.

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pemdas is the reason why math is easier and not as difficult

Cooley: PEMDAS helps us remember the order of operations. Solve parentheses first, then exponents, then multiply & divide from left to right. Last, add and subtract, from left to right.

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Which concepts are important in Chapters 1 and 2?  Type one or more up under this heading.  Include an example and/or an image or GIF.  Help make this an interesting review!

50% of 200 = 0.5 x 200 = 100