The product of successor and predecessor of 999 is
998000
Understanding Successor and Predecessor Numbers
In mathematics, the successor of a whole number is the number obtained by adding 1 to it. It is the next number in the counting sequence. The predecessor of a whole number (except zero) is the number obtained by subtracting 1 from it. It is the number that comes just before it.
The question asks for the product of successor and predecessor of the number 999.
Calculating the Successor of 999
To find the successor of 999, we add 1 to it.
Successor of 999 \( = 999 + 1 \)
Successor of 999 \( = 1000 \)
So, the number that comes immediately after 999 is 1000.
Calculating the Predecessor of 999
To find the predecessor of 999, we subtract 1 from it.
Predecessor of 999 \( = 999 - 1 \)
Predecessor of 999 \( = 998 \)
So, the number that comes immediately before 999 is 998.
Finding the Product of Successor and Predecessor
The question requires us to find the product of these two numbers: the successor (1000) and the predecessor (998). The product is the result of multiplying numbers together.
To find the product of successor and predecessor of 999, we multiply the successor (1000) by the predecessor (998).
Product \( = \) Successor \(\times\) Predecessor
Product \( = 1000 \times 998 \)
Now, let's perform the multiplication:
\(1000 \times 998 = 998000\)
The calculation shows that the product of successor and predecessor of 999 is 998000.
Comparing the Result with Options
We have calculated the product to be 998000. Let's look at the given options to see which one matches our result:
- Option 1: 999000
- Option 2: 998000
- Option 3: 989000
- Option 4: 1998
Our calculated value, 998000, exactly matches Option 2.
Summary: Calculating the Product of Successor and Predecessor
To quickly recap the steps to find the product of successor and predecessor:
- Start with the given number (999).
- Find its successor by adding 1 (\(999 + 1 = 1000\)).
- Find its predecessor by subtracting 1 (\(999 - 1 = 998\)).
- Calculate the product by multiplying the successor and predecessor (\(1000 \times 998 = 998000\)).
This process allows us to find the product of successor and predecessor for any given number.
Important Questions from Real Number
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Which of the statements given above is/are correct ?
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