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How to Arrange, Order, and Compare Integers

How to Arrange, Order, and Compare Integers


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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What are the Divisibility Rules

What are the Divisibility Rules


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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How to Find the Greatest Common Factor (GCF)

How to Find the Greatest Common Factor (GCF)


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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How to Factor Numbers

How to Factor Numbers


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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How to Convert Between Fractions, Decimals and Mixed Numbers

How to Convert Between Fractions, Decimals and Mixed Numbers


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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How to Round Off Decimals

How to Round Off Decimals


In mathematics, a decimal can be defined as a number which has two parts: a whole part and a fractional part, and these two parts are separated by a decimal point. The whole part always represents a number greater than one, while the fractional part, i.e., the part after the decimal, always represents a number less than one.
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How to Compare Decimals

How to Compare Decimals


A decimal consists of a whole number and a fractional part. decimals are fractions or mixed numbers with denominators that are powers of 10. Here are a few steps for comparing two decimals:
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How to Divide Mixed Numbers

How to Divide Mixed Numbers

Steps to Divide Mixed Numbers


To Divide two mixed numbers, follow these steps.
  1. Convert the mixed numbers into improper fractions, separately.
  2. Now Divide these improper fractions by changing the division sign into the multiplication sign. To do this, just flip the second fraction.
  3. Write the answer in the lowest terms.

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How to Multiply Mixed Numbers

How to Multiply Mixed Numbers


A mixed number consists of three distinct parts: a whole number, a numerator and a denominator. Here, the numerator and the denominator are the parts of the proper fraction.
To multiply two mixed numbers, follow these steps.
  1. First, 1. Convert the mixed numbers into improper fractions, separately.
  2. Next, 2. Now multiply these improper fractions and write the answer in the lowest terms.

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How to Subtract Mixed Numbers

How to Subtract Mixed Numbers


A mixed number is a combination of two numbers: a whole number and a proper fraction (A proper fraction is a fraction which has a denominator which is greater than the numerator,). Moreover, a mixed number can be converted into a fraction and it always lies between two whole numbers.
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