Consecutive numbers are two integers that appear in the correct sequential order from least to greatest value. There are also no gaps spanning these integers, outside of instructions placed on the pair. You can apply special conditions to consecutive sequence. Even consecutive numbers are all non-zero values that are divisible two and skip every two integers. Odd consecutive integers are values that cannot be divided exactly by two and skip every two integers. You with often find these types of questions.
These worksheets explain how to order sets of integers from least to greatest. Students will then identify whether the numbers are consecutive or not.
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Consecutive Numbers Worksheets
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Students will order a set of numbers consecutively. Three problems are provided, and space is included for students to copy the correct answer when given.
Place the numbers in the following problem from lowest to greatest and mark
whether they are consecutive or not. Underline the correct option. (Yes or No)
Check whether the numbers are consecutive or not. The numbers are
consecutive if they are in order or appear one after the other with no
number missing in between any of them. In the above question the
numbers are in order. So, we underline the correct option as "Yes."
Students demonstrate skill ordering numbers from least to greatest. Three problems are provided.
What is the Significance of Consecutive Numbers?
These values may seem like a straightforward concept. But when it comes to the mathematical definition of it, there are different views about its meaning. Consecutive numbers can be defined as:
- Numbers that follow each other in regular counting order, from the smallest to the largest number.
- Integers n1 and n2 are arranged such that n1 - n2 = 1 and n2 come after n1. Integers arranged in this order usually follow this concept.
They are often confused with multiples. Number 2, 4, 6 are not consecutive, they are sequential multiples of 2, which means that they are adjacent numbers.
You may be asked about the odd and even consecutive numbers. In that case, you take an odd or even number and consider the next odd or even number. That means if you take 2 as your first even number, then the next even consecutive numbers would be 4, 6, 8, and so on. Similarly, if you take 15 as your odd number, the series of odd consecutive numbers would look like 15, 17, 19, 21.
These values can also be represented algebraically. For algebraic representation, you take the number as x. The following values would be x + 1, x + 2, x + 3. If you are asked for even consecutive numbers, then you select the first number as even, you can do this by choosing 2x as your first even consecutive number. The series would appear like 2x+2, 2x+4 2x+6. The series of odd consecutive numbers would look like 2x+1, 2x+3, 2x+5.
