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In mathematics, algebraic statements or expressions are defined as a combination of a certain number of terms (that might be variables or constants) which are separated by certain mathematical operations. Now, to be precise, these terms can be pure variables (like \(x^2, \ x^3\)), pure constants (like \(2, \ 9, \ 45\), etc.) or even mixed terms with coefficients (like \(2x^2, \ 9x^3\), etc.). 
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Similar figures are 2 figures with the exact shape. Objects having the exact same size and shape are called congruent objects. For instance, a person’s two hands or the 2 front wheels on a vehicle are a couple of examples of congruent objects. However, objects can be of a similar shape yet have varied sizes. Use the \(∼\) symbol to represent similarity.
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In mathematics, the ratio is defined as the comparison between two numbers. This is generally done to find out how big or small a number or a quantity is with respect to another. So, what method do we use to find these ratios? Well, we use the division method. In a ratio, two numbers are divided.
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Ratios are a mathematical method used to compare different values. The word “ratio" is utilized in regard to a study or analysis of several data sets, like showing a performance rating of a product or explaining demographics. Fractions and proportions are interwoven with ratios. They both show a contrast of several values
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To add or subtract two integers, follow these steps:

• In the first case, if two integers have the same sign (either both are positive or both are negative), add up those integers and put the common sign.
• In the second case, if two integers have an opposite sign (one is positive and the other one negative), then subtract them and put the sign of the bigger number.

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To arrange/order integers and numbers, follow these steps:

• First, you should identify the negative numbers from the set. Remember, the farthest the negative number is from zero, the smaller it gets. In other words, the bigger the negative integer, the smaller it is.

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Any number is said to be completely divisible by another number if it leaves no remainder. For example, we can say that 12 is completely divisible by 2, but 12 is not completely divisible by 7. So, for these reasons, its very important to know the divisibility rules for all numbers ranging from 2-9. Moreover, these rules come in handy when dividing large numbers without going into the conventional division rules.
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To find the Greatest Common Factor, follow these steps:

• First break down both the numbers into their prime factors.
• Now, list out the common factors between those 2 numbers. Then you can multiply the common factors to generate the Greatest Common Factor.
• Also, if you find that there are no common prime factors between these numbers, then the GCF is always 1.

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To Factor a number, follow these steps:

• Firstly, try dividing the number with \(2\). If it isn’t divisible, try with the next prime number and so on.
• Next, represent the factor as a multiple of all its prime numbers.

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To convert a decimal to fraction, follow these steps:

• First, write the given decimal over 1 (i.e., write the denominator of the decimal as 1).
• Next multiply both numerator and denominator by 10 for every digit on the right side of the decimal. For example, a decimal number 12.3947 should be multiplied by 10000.
• Next simplify the numerator and denominator to get your desired fractional number.

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