Multiplying and Dividing real numbers
To multiply and divide real numbers, follow these steps:
Multiplication:
1. Multiply the numbers as you would with whole numbers.
2. Determine the sign of the product:
- If the numbers have the same sign (both positive or both negative), the product is positive.
- If the numbers have different signs (one positive and one negative), the product is negative.
For example: (-3) * (-4) = 12
Division:
1. Divide the numbers as you would with whole numbers.
2. Determine the sign of the quotient:
- If the numbers have the same sign (both positive or both negative), the quotient is positive.
- If the numbers have different signs (one positive and one negative), the quotient is negative.
For example: (-12) / (-3) = 4
Multiplying and dividing real numbers involves some basic rules and properties. Here are the step-by-step explanations:
To multiply real numbers:
Step 1: Multiply the numbers together. This can be done for any real numbers, positive or negative.
For example:
- Multiplying two positive numbers: (2) * (3) = 6
- Multiplying a negative number by a positive number: (-2) * (3) = -6
- Multiplying two negative numbers: (-2) * (-3) = 6
To divide real numbers:
Step 1: Write as a fraction. Divide the numerator by the denominator.
Step 2: If both numbers have the same sign (either both positive or both negative), the quotient will be positive. If the numbers have different signs (one positive and one negative), the quotient will be negative.
For example:
- Dividing two positive numbers: 6 / 3 = 2
- Dividing a negative number by a positive number: -6 / 3 = -2
- Dividing two negative numbers: -6 / -3 = 2
Remember these rules and follow the steps accordingly to multiply and divide any real numbers.