What is Predecessor of a Number?

S3-SA4-0018

Grade Level:

Class 6

AI/ML, Data Science, Physics, Economics, Cryptography, Computer Science, Engineering

Definition

What is it?

The predecessor of a number is the number that comes immediately before it. You can find the predecessor by subtracting 1 from the original number.

Simple Example

Quick Example

Imagine you are counting your pocket money. If you have 50 rupees today, the amount you had yesterday (which was 1 rupee less) was 49 rupees. So, 49 is the predecessor of 50.

Worked Example

Step-by-Step

Let's find the predecessor of 75.
---Step 1: Understand what 'predecessor' means. It means the number just before.
---Step 2: To find the number just before, we subtract 1 from the given number.
---Step 3: So, we will calculate 75 - 1.
---Step 4: 75 - 1 = 74.
---Answer: The predecessor of 75 is 74.

Why It Matters

Understanding predecessors helps in sequencing data in Computer Science, ordering events in Physics, and tracking changes in Economics. It's fundamental for building algorithms in AI/ML and even in secure communication like Cryptography, helping professionals like data scientists and software engineers organize information efficiently.

Common Mistakes

MISTAKE: Adding 1 instead of subtracting 1. Forgetting that 'pre' means 'before'. | CORRECTION: Always subtract 1 to find the predecessor. Think 'previous' or 'before'.

MISTAKE: Confusing predecessor with successor. | CORRECTION: Predecessor is 'before' (minus 1), Successor is 'after' (plus 1). Keep them distinct.

MISTAKE: Struggling with predecessors of large numbers or negative numbers. | CORRECTION: The rule (subtract 1) applies to all numbers. For 1000, it's 999. For 0, it's -1. For -5, it's -6.

Practice Questions

Try It Yourself

QUESTION: What is the predecessor of 101? | ANSWER: 100

QUESTION: A train arrived at Platform 5 at 11:30 AM. Its previous stop was 1 hour before arriving at Platform 5. What time did it leave its predecessor stop? | ANSWER: 10:30 AM

QUESTION: If the successor of a number is 250, what is the predecessor of that same number? | ANSWER: 248

MCQ

Quick Quiz

Which of the following is the predecessor of 89?

The Correct Answer Is:

The predecessor of a number is found by subtracting 1 from it. So, 89 - 1 = 88. Options A, C, and D are incorrect as they are not the number immediately preceding 89.

Real World Connection

In the Real World

When you check your mobile data usage, you often see your 'current usage' and 'previous day's usage'. The previous day's usage is the predecessor to today's usage in terms of data consumption. This helps mobile companies track trends and offer better plans.

Key Vocabulary

Key Terms

PREDECESSOR: The number that comes immediately before a given number | SUBTRACT: To take away one quantity from another | NUMBER LINE: A visual representation of numbers in order | SUCCESSOR: The number that comes immediately after a given number

What's Next

What to Learn Next

Great job learning about predecessors! Next, you should explore 'What is Successor of a Number?'. It's the opposite concept and understanding both will give you a complete picture of how numbers are ordered.