03 Newmeric Type

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1. Characteristics of Numeric Types

image-20231216151331535

In [3]: 1 + 1
Out[3]: 2

In [4]: 1 + 1.0
Out[4]: 2.0

In [5]: 2 -1
Out[5]: 1

In [6]: 2 - 1.0
Out[6]: 1.0

In [7]: 2 * 2
Out[7]: 4

In [8]: 2* 2.0
Out[8]: 4.0

In [9]: 9/3
Out[9]: 3.0

# The result is a float if one of the elements is a float, with the highest precedence.

# Division involves precision issues, resulting in a float.

2. Arithmetic Operators

Arithmetic Operators: Used for arithmetic calculations.

Operator	Description	Example
+	Addition Operator	1 + 1 = 2
-	Subtraction Operator	2 - 1 = 1
*	Multiplication Operator	2 * 3 = 6
/	Division Operator	9 / 3 = 3.0
**	Exponentiation Operator	2 ** 3 = 8
%	Modulus Operator, calculates remainder	9 % 2 = 1
//	Floor Division Operator, calculates quotient without remainder	9 // 2 = 4

Tip: 9 / 2 = 4......1

3. Trying It Out: Number Transformation

Imagine you have a two-digit integer, and we need to generate two new numbers based on the following rules:

• The first new number is the sum of the individual digits of the original number.
• The second new number is the reverse of the original number (e.g., for 21, the reversed number is 12).

Write Python code to fulfill these requirements.

Input:

An integer num (10 ≤ num ≤ 99)

Output:

Two integers or an error message string.

Example:

Suppose the input number num is 91. Then your code should output two numbers: 10 (the sum of 9 and 1) and 19 (the reversal of 91).

Suppose the input number num is 26. Then your code should output two numbers: 8 (the sum of 2 and 6) and 62 (the reversal of 26).

Suppose the input number num is 18. Then your code should output two numbers: 9 (the sum of 1 and 8) and 81 (the reversal of 18).

num = 91
print(num // 10 + num % 10)
print(10 * (num % 10) + num // 10)
#output
10
19

4. Comparison Operators: Comparing Values

Operator	Description	Example
>	Checks if the first operand is greater than the second	print(1 > 2)
<	Checks if the first operand is less than the second	print(1 < 2)
>=	Checks if the first operand is greater than or equal to the second	print(3 >= 3)
<=	Checks if the first operand is less than or equal to the second	print(3 <= 4)
==	Checks if two operands are equal	print(2 == 2)
!=	Checks if two operands are not equal	print(2 != 1)

Try the above examples and see the resulting outputs.

Code Examples

print(1 > 2)
print(1 < 2)
print(3 >= 3)
print(3 <= 4)
print(2 == 2)
print(2 != 1)
#output
False
True
True
True
True
True

5. Assignment Operators

Operator	Description	Example
=	Assigns the value on the right-hand side to the left-hand side	a = 1
+=	a += b is equivalent to a = a + b	a += 10
-=	a -= b is equivalent to a = a - b	a -= 10
*=	a *= b is equivalent to a = a * b	a *= 10
/=	a /= b is equivalent to a = a / b	a /= 10
**=	a **= b is equivalent to a = a ** b	a **= 10
//=	a //= b is equivalent to a = a // b	a //= 10

Code Examples

# Assignment Operators
a = 1
a += 10
print(a)#11
# Regular notation
a = 1
a = a + 10
print(a)#11

7.3.1 Sum and Difference of Numbers:

Write Python code that creates two numbers a and b, calculates and prints their sum and the result of a subtracted from b.

Code Template

a = 10
b = 12
sum_result = a + b
difference = a - b
print("Sum: ", sum_result)
print("Difference: ", difference)
# Test
assert sum_result == a + b
assert difference == a - b

Output Example:

Sum: 8
Difference: -2

7.3.2 Multiplication and Division of Numbers

Write Python code that creates two numbers x and y, calculates and prints their product and the result of x divided by y.

Code Template

x = 3
y = 4
print("Product: ", x * y)
print("Division: ", x / y)

# Test
assert product == x * y
assert division == x / y

Output Example:

Product: 12
Division: 0.75

7.3.3 Modulus and Exponentiation

Write Python code that creates two numbers m and n, calculates and prints m modulo n and m raised to the power of n.

Code Template

m = 3
n = 4
print("Modulus: ", m % n)
print("Power: ", m ** n)

# Test
assert remainder == m % n
assert power == m ** n

Output Example:

Modulus: 3
Power: 81

7.3.4 Comparison Operation

Write Python code that takes two numbers p and q as input, compares them, and prints the respective comparison result (greater than, less than, equal to).

Code Template

p = int(input("Please enter an integer: "))
q = int(input("Please enter the second integer: "))
if p > q:
    print(f"{p} is greater than {q}")
    assert p > q
elif p < q:
    print(f"{p} is less than {q}")
    assert p < q
else:
    print(f"{p} is equal to {q}")
    assert p == q

Output Example: