1. Multiply whole number with rational number

2. Rational numbers
A rational number is a number that can be expressed in the form
where p and q are integers and q ≠ 0.
Numerator
Denominator
For example are rational numbers
NOTE:
A rational number is said to be in standard form if its
denominator is positive and the numerator and
denominator have no common factor other than 1.
If a rational number is not in the standard form, then it can
be reduced to the standard form.

3. Rules for Multiplication of integers
The product of two positive integers is a positive integer
The product of two negative integers is a positive integer
The product of a positive integer and negative integer is a negative integer + X = -

4. Multiply – Cross simplification
Multiplying fractions is easy
Multiple the numerators
Multiple the denominators
Cross simplification
This isn’t necessary, but it
can make the numbers
smaller and keep you from
simplifying at the end. -1
In this example, -5 and 10 can both be divided by 5, 3
and 9 can both be divided by 3 even though they are not
in the same fraction. 3 2

5. Answer: -4 Example 1: Multiply Solution: Step 1:
Remember: We can multiply fraction by fraction
Fractional form of -4
Whole number
Fraction
Step 2: Lets use cross multiplication
method to simplify the fractions before
multiplying them -1
Dividing 4 ,16 by 4 we get 4
(-) x (-) = +
(+) x (+) = +
Step 3: Fractions cannot be simplified
further, multiply the fractions
Answer:

6. Answer: 6 Example 2: Multiply Solution: Step 1:
Remember: We can multiply fraction by fraction
Fractional form of 6
Whole number
Fraction
Step 2: Lets use cross multiplication
method to simplify the fractions before
multiplying them 1
Dividing 6 and 12 by 6 we get 2
(+) x (-) = -
(+) x (+) = +
Step 3: Fractions cannot be simplified
further, multiply the fractions
Answer:

7. Answer: -3 10 Example 3: Multiply Solution: Step 1:
Remember: We can multiply fraction by fraction
Fractional form of 10
Whole number
Fraction 1
Step 2: Lets use cross multiplication
method to simplify the fractions before
multiplying them
Dividing 10 and 10 by 10 we get 1
Step 3: Fractions cannot be simplified
further, multiply the fractions
(-) x (+) = -
(+) x (+) = +
Answer: -3

8. Answer: -10 28 Example 4: Multiply Solution: Step 1:
Remember: We can multiply fraction by fraction
Fractional form of 28
Whole number
Fraction 2
Step 2: Lets use cross multiplication
method to simplify the fractions before
multiplying them
Dividing 28 and 14 by 14 we get 1
(-) x (+) = -
(+) x (+) = +
Step 3: Fractions cannot be simplified
further, multiply the fractions
Answer: -10

9. Try these
1. Multiply:
2. Multiply: