Natural numbers and Whole numbers Test - 2

For example-

Consider an even natural number = 2

So the predecessor of 2 = 2 − 1 = 1

We get the successor of 2 = 2 + 1 = 3

Product between them = 1 × 3 = 3

Hence, the product is an odd number.

Whole numbers start with 0 and continue with counting numbers{1, 2, 3, .....}. Numbers {1, 2, 3, ....} are natural numbers so if we include 0 with natural numbers they form the set of whole numbers.

The option (C) is correct answer.

We know that predecessor of 1 = 1 – 1 = 0.

The distance between any two consecutive numbers is 1 unit. So the distance between number 2 and 9 is 7 units.

We can write it as = 9 - (+2) = 7

So, I need to move 7 steps to reach number 9 from number 2.

If we add one to any natural number we get the immediate successor of that natural number.

Ex: If we add 1 to a given natural number 5 then we get the next natural number i.e. 6.

The option (D) is correct answer.

We know that

So the successor of 249 = 249 + 1 = 250

We get predecessor of 249 = 249 − 1 = 248

Product of them = 250 × 248 = 62000

The option (B) is correct answer.

The smallest whole number is 0.

The option (A) is correct answer.

We know that

1 million = 10, 00,000

So the successor of 5 million = 50, 00,000 + 1 = 50, 00,001

Numbers , 9, 16 and 25  can form squares as they are perfect squares of  3 , 4 and 5 respectively.

The distance between any two consecutive numbers is 1 unit. So the distance between number 5 and 9 is 4 units.

The option (A) is correct answer.

The smallest natural number is 1.

The set of counting numbers starting with 1 and continuing 2,3,4.....and so on are called Natural Numbers.

The option (D) is correct answer.

The smallest natural number is 1 and does not have any predecessor.

The option (B) is correct answer.

We know that

2 million = 20, 00,000

So the predecessor of 2 million = 20, 00,000 – 1 = 19, 99,999

We know that the predecessor of an odd number is an even number and the successor of an odd number is also an even number.

So the two even numbers and their product are two consecutive even numbers which is always divisible by 8.

When we add any two natural numbers, the answer is always a natural number.

For example: Take any two natural numbers say 4 and 6. Add them 4 + 6 = 10, 10 is also a natural number.

The natural numbers start with 1. So 1 does not have any predecessor which lie under the natural numbers.

Product of any two whole numbers is always a Whole Number.

For eg: If we multiply two numbers say 3 and 5, 3 × 5 = 15, 15 is also a whole number.

In this hypothetical universe, each number is represented by dots such that the number of dots in that universe corresponds to the value of the number it represents in this universe. 

Hence, to represent two, we use two dots. When we join two dots by a straight line, we get a line segment and nothing else, as shown.

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For Example-

Consider whole number = 1

So the successor of 1 = 1 + 1 = 2

Product between them = 1 × 2 = 2 

Hence, 2 is an even number