Consecutive Numbers up to 10,000: Fill-in the predecessor and the successor in the series

Examples with solutions for Consecutive Numbers up to 10,000: Fill-in the predecessor and the successor in the series

Exercise #1

Fill in the predecessor as well as the successor of the number 9001:

,9001, \Box,9001,\Box

Step-by-Step Solution

To solve this problem, we will determine the predecessor and successor of the number 9001 by using simple arithmetic operations.

  • Step 1: Calculate the predecessor of 9001.
  • Step 2: Calculate the successor of 9001.

Now, let's work through each step:

Step 1: Calculate the predecessor of 9001. The predecessor of a number is found by subtracting 1 from the number. Therefore,

90011=9000 9001 - 1 = 9000 .

Step 2: Calculate the successor of 9001. The successor of a number is found by adding 1 to the number. Therefore,

9001+1=9002 9001 + 1 = 9002 .

Thus, the predecessor and successor of 9001 are 9000 9000 and 9002 9002 , respectively. Therefore, in the given format, the answer is:

9000,9001,9002 9000,9001,9002 .

Matching this with the provided choices, the correct choice is:

9000,9002 9000,9002

Answer

9000,9002 9000,9002

Exercise #2

Select both the successor and predecessor of the number 2000:

,2000, \Box,2000,\Box

Step-by-Step Solution

To solve this problem, we first need to determine the predecessor of 2000. The predecessor is found by subtracting 1 from the number:

  • Predecessor: 20001=1999 2000 - 1 = 1999

Next, we find the successor of 2000. The successor is calculated by adding 1 to the number:

  • Successor: 2000+1=2001 2000 + 1 = 2001

Thus, the predecessor of 2000 is 1999, and the successor is 2001.

Therefore, the sequence with the number 2000 and its consecutive neighbors is given by:

1999,2000,2001 1999,2000,2001

Comparing this with the provided choices, we can confirm that the correct choice is : 1999,2001 1999,2001 .

Answer

1999,2001 1999,2001

Exercise #3

Fill in the missing numbers:

,3001, \Box,3001,\Box

Step-by-Step Solution

To solve this problem, we need to determine the numbers directly before and after 3001 in a consecutive integer series.

Let's follow these steps:

  • Step 1: Find the predecessor of 3001.
  • Step 2: Find the successor of 3001.

Step 1: To find the predecessor, we subtract 1 from 3001:

30011=3000 3001 - 1 = 3000

Step 2: To find the successor, we add 1 to 3001:

3001+1=3002 3001 + 1 = 3002

Therefore, the missing numbers that precede and succeed 3001 consecutively are 3000 3000 and 3002 3002 , respectively.

The correct answer is choice 1: 3000,3002 3000, 3002 .

Answer

3000,3002 3000,3002

Exercise #4

Fill in the missing numbers:

,4400, \Box,4400,\Box

Step-by-Step Solution

To solve this problem, let's methodically follow these steps:

  • Step 1: Identify the predecessor of 4400.
    To find the predecessor, subtract 1 from 4400:
    44001=4399 4400 - 1 = 4399
  • Step 2: Identify the successor of 4400.
    To find the successor, add 1 to 4400:
    4400+1=4401 4400 + 1 = 4401

Having followed these steps, we can conclude that the numbers we are looking for are 4399 4399 and 4401 4401 .

Thus, the solution to the problem is 4399,4401 4399, 4401 .

Answer

4399,4001 4399,4001

Exercise #5

Fill in the missing numbers:

,5019, \Box,5019,\Box

Step-by-Step Solution

To solve this problem, we'll identify the consecutive numbers surrounding 5019. Specifically, we're looking for the predecessor and the successor.

  • Step 1: Find the predecessor of 5019.
  • Step 2: Find the successor of 5019.

Now, let's work through each step:

Step 1: The predecessor of a number is 1 less than the number itself. So, the predecessor of 5019 is 50191=5018 5019 - 1 = 5018 .

Step 2: The successor of a number is 1 more than the number itself. Thus, the successor of 5019 is 5019+1=5020 5019 + 1 = 5020 .

Thus, the missing numbers are 5018 and 5020. Therefore, the sequence is 5018,5019,5020 5018, 5019, 5020 .

By comparing these numbers with the provided choices, we find that option 2, 5018,5020 5018, 5020 , is correct.

The solution to the problem is 5018,5020 5018,5020 .

Answer

5018,5020 5018,5020

Exercise #6

Complete the next and previous number

,6000, \Box,6000,\Box

Step-by-Step Solution

To solve this problem, we need to find the numbers just before and after 6000. This involves simple arithmetic calculations.

  • Finding the Predecessor:
    The predecessor is the number before 6000. To find it, we subtract 1 from 6000:
    Predecessor=60001=5999 \text{Predecessor} = 6000 - 1 = 5999 .
  • Finding the Successor:
    The successor is the number after 6000. To find it, we add 1 to 6000:
    Successor=6000+1=6001 \text{Successor} = 6000 + 1 = 6001 .

Thus, the complete sequence is 5999,6000,6001 5999, 6000, 6001 .

Now, we compare this result to the provided choices. Our calculations match the correct choice:

The correct answer to the problem is: 5999,6001 5999,6001 .

Answer

599,601 599,601

Exercise #7

Fill in the missing numbers:

,9899, \Box,9899,\Box

Step-by-Step Solution

The task is to identify the predecessor and successor of the number 9899 in a sequence of natural numbers.

Step 1: Determine the Predecessor
To find the predecessor of 9899, calculate:

  • 98991=9898 9899 - 1 = 9898

Therefore, the predecessor is 9898.

Step 2: Determine the Successor
To find the successor of 9899, calculate:

  • 9899+1=9900 9899 + 1 = 9900

Therefore, the successor is 9900.

After determining the predecessor and successor, we find:

  • Predecessor: 9898
  • Successor: 9900

The correct choice based on the calculations provided is:

9898,9900 9898,9900

Therefore, the sequence is complete as: 9898, 9899, 9900.

Answer

9898,9900 9898,9900

Exercise #8

Fill in the missing numbers:

,8500, \Box,8500,\Box

Step-by-Step Solution

Let's solve the problem following these steps:

  • Step 1: Identify the given information: We have a number 8500 and an indication of a sequence: ,8500, \Box, 8500, \Box .
  • Step 2: Find the predecessor: Using the formula for the predecessor of a number, calculate 85001=8499 8500 - 1 = 8499 .
  • Step 3: Find the successor: Using the formula for the successor of a number, calculate 8500+1=8501 8500 + 1 = 8501 .

By computing these values, we find the missing numbers in the sequence as 8499 and 8501. Therefore, the sequence is: 8499,8500,8501 8499, 8500, 8501 .

The correct choice from the provided multiple-choice answers is: 8499,8501 8499,8501 .

Answer

8499,8501 8499,8501

Exercise #9

Fill in the missing numbers:

,7190, \Box,7190,\Box

Step-by-Step Solution

To solve this problem, we will determine the predecessor and successor of the number 7190.

  • Step 1: Identify the given number, which is 7190.
  • Step 2: Calculate the predecessor by performing the operation 71901 7190 - 1 :

When we subtract one, we get 7189 7189 . Thus, 7189 is the predecessor.

  • Step 3: Calculate the successor by performing the operation 7190+1 7190 + 1 :

When we add one, we get 7192 7192 . Thus, 7192 is the successor.

We have determined that the numbers are:

7189,7190,7192 7189,7190,7192

Therefore, the missing numbers are 7189,7192 7189,7192 .

Answer

7189,7192 7189,7192

Exercise #10

Fill in the missing values:

,6700, \Box,6700,\Box

Step-by-Step Solution

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

  • Step 1: Identify the number provided in the sequence, which is 6700.
  • Step 2: Determine the predecessor of the number 6700.
  • Step 3: Determine the successor of the number 6700.

Now, let's work through each step:

Step 1: The number given in the sequence is 6700.

Step 2: The predecessor of 6700 is found by subtracting 1:
67001=6699 6700 - 1 = 6699 .

Step 3: The successor of 6700 is found by adding 1:
6700+1=6701 6700 + 1 = 6701 .

Therefore, the consecutive sequence around the number 6700 is 6699,6700,6701 6699, 6700, 6701 .

The correct sequence with the missing values filled in is: 6699,6701 6699, 6701 .

Answer

6699,6701 6699,6701

Exercise #11

Fill in the missing numbers:

,84100, \Box,84100,\Box

Step-by-Step Solution

To solve this problem, let's determine the consecutive numbers surrounding 84100:

  • Step 1: Identify the existing number given, which is 84100.
  • Step 2: To find the predecessor, subtract 1 from 84100: 841001=84099 84100 - 1 = 84099 .
  • Step 3: To find the successor, add 1 to 84100: 84100+1=84101 84100 + 1 = 84101 .

The number that comes before 84100 is 84099, and the number that comes after 84100 is 84101. Therefore, the sequence including the given number is:

84099,84100,84101 84099, 84100, 84101

Therefore, the correct answer is: 84099,84101 84099, 84101 , which corresponds to choice id="4".

Answer

84099,84101 84099,84101