What Is a Rational Number? - mrscote

15
b) a 5
8 b
56
15
a 5 can be written as a 15
8 b 56
a5 8 b 56 b
The quotient is positive.
Use the strategy of multiplying by the reciprocal
to determine the numerical value of the quotient.
5 15
8 56
5 56
Simplify by dividing by common factors in the numerator and denominator.
8 15
1 7
5 56
1
8 15
3
7
1 3
7
3
7
The missing number is .
3
Solve a simpler problem.
Think: 6 2
We know 6 3 2,
so we write the related statement:
3 6 2
Discuss
the
ideas
1. How can you use what you know about dividing integers
and dividing fractions to divide 2 rational numbers
in fraction form?
2. How can you use what you know about dividing integers
and dividing decimals to divide 2 rational numbers
in decimal form?
Practice
Check
3. Predict the sign of each quotient, then
calculate the quotient.
a) (1.5) 3 b) 2.8 (2)
c) (8.4) (4) d) 1.6 (8)
e) (14.4) (6) f) (6.3) 7
4. Predict the sign of each quotient, then
calculate the quotient.
1
3
a) b) a 2
2
a3 4 b
5 b 10
c) a7 1 11
a 8 d)
6 b 3 b
4 3
5
e) f) a 11
2
a2 3 b
a9 5 b 4 b
5. Which of the following expressions have the
same answer as a 1 a 3 ?
3 b 4 b
a) a 1 a 3 b) a 3 a 1 3 b 4 b
4 b 3 b
c) a 1 a 4 d) a 4 a 1 3 b 3 b
3 b 3 b
1 3
4
e) f) 1 3 4
3 3
134 UNIT 3: Rational Numbers