## How many numbers are there between 1 and 100?

There are 98 whole numbers between 1 and 100.

**What is the order of types of numbers?**

What does it look like?

Type of Number | Example |
---|---|

Prime Number | P=2,3,5,7,11,13,17,… |

Composite Number | 4,6,8,9,10,12,… |

Whole Numbers | W=0,1,2,3,4,… |

Integers | Z=…,−3,−2,−1,0,1,2,3,… |

### How many times does number 1 appear from 1 to 100?

∴ 20 times the digit 1 appears in the first 100 whole numbers.

**How many digits are there from 1 to 100 are there each of which is not exactly divisible by 6 but has 6 in it?**

Step-by-step explanation: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44,48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96 and 100. Of these only 7 numbers namely, 4, 24, 40, 44, 48, 64, 84 have 4 in them.

#### How many numbers between 1 and 100 are divisible by both 3 and 4?

If you want the number divisible by both 3 and 4 it is 58 . 100/12 = 8 . 333 or approximately 8. 58 – 8 = 50 numbers by 3 or 4 .

**Does Z include 0?**

Z+ is the set of all positive integers (1, 2, 3.), while Z- is the set of all negative integers (…, -3, -2, -1). Zero is not included in either of these sets .

## How is a number even?

All the numbers ending with 0,2,4,6 and 8 are even numbers. For example, numbers such as 14, 26, 32, 40 and 88 are even numbers. If we divide a number into two groups with an equal number of elements in each, then the number is an even number. In the case of odd numbers, we get a remainder of 1 while grouping.

**How many such numbers are there between 1 and 100 such that each of which is not only divisible by 4 but also has one digit as 4 in the number?**

7 numbers

Hence, there are 7 numbers from 1 to 100 each of which is not only exactly divisible by 4 but also has 4 as a digit.

### How many such numbers are there between 1 and 100 such that each of which is not divisible by 4?

12 numbers

Divisibility test of 4 is – Number combining ten’s and unit’s place should be divisible by 4. ∴ There are 12 numbers between 1 and 100 which have 4 as digit but are not divisible by 4.

**How many numbers from 1 to 100 are there such that these are not only exactly divisible by 4 but also has 4 as a digit?**

7 such numbers

Therefore, the required numbers are 4, 24, 40, 44, 48, 64, 84. Clearly, there are 7 such numbers. Hence, there are 7 numbers from 1 to 100 each of which is not only exactly divisible by 4 but also has 4 as a digit.