Consecutive numbers

πŸ†Practice consecutive numbers up to 100

Consecutive numbers

A consecutive number is a number that is greater by 1 than the existing number.
When we are asked -
The consecutive number of "any number" is...
We calculate as follows: AnyΒ Number+1Any~Number+1

When we are asked -
"Some number" is the consecutive number of...
We calculate as follows: AnyΒ Numberβˆ’1Any~Number-1

Illustration explaining predecessor and successor numbers, showing the relationship between 5 and 6 for foundational math concepts

Consecutive numbers sequence

Consecutive numbers from smallest to largest are numbers that follow one another in ascending order,
For example:
23,24,25,2623,24,25,26

Sum of Consecutive Numbers

The sum of consecutive numbers is the addition of all consecutive numbers we have.
For example -
23+24+25+2623+24+25+26
We can use the commutative and associative properties and calculate as seen below:
23+25=4523+25=45
24+26=5024+26=50
50+45=9550+45=95

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Test yourself on consecutive numbers up to 100!

einstein

Which number succeeds the number 9209?

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Consecutive numbers

What is a consecutive number?
A consecutive number is a number that is greater than the existing number by 1!
In other words, it's the number that comes right after the existing number.
For example -
The consecutive number of 33 is 44.
44 comes right after 33.
We can add 3+13+1
and obtain 44.
How will we remember what a consecutive number is?
Imagine any number - for example 55

Illustration explaining predecessor and successor numbers, showing the relationship between 5 and 6 for foundational math concepts.

What is my consecutive number?
66 Of course! I follow it...

When you are asked -
What is the consecutive number after 55,
ask yourself.. what number follows 5? 6 of course!
Or simply add 11.

And now let's practice!
What is the consecutive number after 200200?
Answer –
200+1=201200+1=201
201 is the answer.

Another exercise –
What is the consecutive number of 478478?
Answer:
478+1=479478+1=479
479479 is the answer.

Another exercise –
What is the consecutive number of 00?

Solution -
0+1=10+1=1
11 is the answer.

What is the consecutive number after 7989279892?
79892+1=7989379892+1=79893
7989379893 is the answer.

Pay attention - until now we asked what is the consecutive number of-
What would happen if we asked:
5656 is the consecutive number of ___
In this type of question, we would need to subtract 11!
Essentially - the consecutive number is the number after adding.

Let's practice!
7070 is the consecutive number of ?

Solution –
70βˆ’1=6970-1=69
​​​​​​​69​​​​​​​69 is the solution.

Another exercise -
786786 is the consecutive number of ?
786βˆ’1=785786-1=785
785785 is the answer.

Another exercise -
8654486544 is the consecutive number of?

Solution –
86544βˆ’1=8654386544-1=86543
8654386543 is the solution.

Now to make it harder - let's mix between the 2 options:

What is the consecutive number after 7979?

Solution -
Let's find the consecutive number by adding 11:
79+1=8079+1=80
8080 is the solution.

Another exercise –
6666 is the consecutive number of?
6666 is already the consecutive number so we subtract 11:
66βˆ’1=6566-1=65
6565 is the answer!

Great! Now let's move on to consecutive number sequences!

Consecutive numbers sequence

If you were asked to write consecutive numbers from smallest to largest - for example 44 consecutive numbers from smallest to largest,
you would need to write 44 numbers that follow each other in sequence.
For example:
21,22,23,2421,22,23,24
or for example:
56,57,58,5956,57,58,59
or
1,2,3,41,2,3,4

44 consecutive numbers.


Question –
Are these 44 consecutive numbers from smallest to largest?
11,13,12,1411,13,12,14

The answer is no! The numbers need to be arranged in the correct sequence from smallest to largest to be called 44 consecutive numbers.
If we were to arrange them like this:
11,12,13,1411,12,13,14
The answer would be correct.

And what if we were asked whether these numbers are 44 consecutive numbers from smallest to largest?
70,71,73,7270,71,73,72

Answer -
The numbers do not meet the condition of 44 consecutive numbers and only if they were arranged from smallest to largest in order like this -
70,71,72,7370,71,72,73
Could they be considered to be consecutive numbers.
Let's move on to the sum of consecutive numbers!

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The sum of consecutive numbers

Reminder-
The sum of numbers means we need to add the numbers together in order to obtain their sum.
Thanks to the commutative property, we can determine the order of addition and it shouldn't affect the result!

For example –
What is the sum of the numbers:
2+14+8=2+14+8=
If we calculate in order – First
2+14=162+14=16
Next
16+8=2416+8=24
The answer will be 2424.
Even if we switch between the numbers and calculate like this:
2+8=102+8=10
​​​​​​​10+14=24​​​​​​​10+14=24
The answer will still be 2424.

The sum of consecutive numbers is essentially adding all consecutive numbers together to obtain their sum.

Let's practice!
Write 44 consecutive numbers from smallest to largest and calculate their sum –

Solution –
Here are four consecutive numbers as seen in the example:
12,13,14,1512,13,14,15
Now let's calculate their sum :
12+13=2512+13=25
25+15=4025+15=40
40+14=5440+14=54
5454 is the sum of the consecutive numbers that we chose.

Do you know what the answer is?

Examples with solutions for Consecutive Numbers up to 100

Exercise #1

Which number succeeds the number 9209?

Step-by-Step Solution

To solve this problem, we'll proceed as follows:

  • Identify the number we are working with, which is 9209.
  • Apply the concept of finding a successor by adding 1 to this number.
  • Perform the arithmetic calculation to find the next number.

Now, let's work through these steps:
Step 1: We are given the number 9209.
Step 2: To find its successor, we add 1: 9209+1 9209 + 1 .
Step 3: Calculating this, we have 9209+1=9210 9209 + 1 = 9210 .

Therefore, the successor of 9209 is 9210 9210 .

Answer

9210 9210

Exercise #2

Select the successor of the number 5449:

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the given information
  • Step 2: Apply the formula for finding a successor
  • Step 3: Perform the addition calculation

Now, let's work through each step:
Step 1: The problem gives us the number 5449.
Step 2: To find the successor, we use the formula n+1 n + 1 .
Step 3: Add 1 to 5449 to find its successor:
5449+1=5450 5449 + 1 = 5450

Therefore, the solution to the problem is 5450 \textbf{5450} .

Answer

5450 5450

Exercise #3

Select the successor of the number 6599:

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the given information.
  • Step 2: Apply the appropriate formula for finding the successor.
  • Step 3: Perform the calculation to find the successor.

Now, let's work through each step:

Step 1: The given number is 6599.

Step 2: We'll use the formula for the successor, which is to add 1 to the given number.

Step 3: Calculating the successor, we add 1 to 6599:

6599+1=6600 6599 + 1 = 6600

Therefore, the successor of 6599 is 6600 6600 .

Answer

6600 6600

Exercise #4

Select the predecessor of the number 2100:

Step-by-Step Solution

To solve this problem, we'll find the predecessor of 2100 by performing a simple calculation.

Let's outline the steps:

  • Step 1: Identify the given number: n=2100 n = 2100 .
  • Step 2: Apply the formula for a predecessor: subtract 1 from the given number.

Now, let's perform the calculation:

2100βˆ’1=2099 2100 - 1 = 2099

Therefore, the predecessor of 2100 is 2099 2099 .

Answer

2099 2099

Exercise #5

Select the predecessor of the number 3140:

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the given information
  • Step 2: Apply the appropriate formula
  • Step 3: Perform the necessary calculations

Now, let's work through each step:
Step 1: The problem gives us the number 3140 3140 .
Step 2: To find the predecessor, we use the formula PredecessorΒ ofΒ n=nβˆ’1 \text{Predecessor of } n = n - 1 .
Step 3: Subtracting 1 from 3140 3140 , we have 3140βˆ’1=3139 3140 - 1 = 3139 .

Therefore, the predecessor of 3140 3140 is 3139 3139 .

Answer

3139 3139

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