Analyzing Decimal Quotients
a) Find the quotient for each division problem below. Round to the thousandths when necessary.
b) Classify the quotients by marking an X in only one of the appropriate columns on the right (Between 0 and 1 or Greater Than 1).
Dividend |
/ |
Divisor |
= |
Quotient |
Quotient Between 0 and 1 |
Quotient Greater Than 1 |
|
0.47 |
/ |
1.3 |
= |
|
|
|
|
0.39 |
/ |
0.48 |
= |
|
|
|
|
0.06 |
/ |
0.15 |
= |
|
|
|
|
0.423 |
/ |
0.56 |
= |
|
|
|
|
0.089 |
/ |
0.0123 |
= |
|
|
|
|
0.72 |
/ |
0.46 |
= |
|
|
|
|
0.918 |
/ |
0.38 |
= |
|
|
|
|
0.716 |
/ |
0.522 |
= |
|
|
|
c) Evaluate the number sentences to determine a rule for finding quotients between 0 and 1. Compare the dividend and divisor and write a true statement telling how you can always expect to get a quotient between 0 and 1.
d) Evaluate the number sentences to determine a rule for finding quotients greater than 1. Compare the dividend and divisor and write a true statement telling how you can always expect to get a quotient greater than 1.
e) Do your rules written above only apply to dividends and divisors with decimals? Or, do the rules also apply to positive whole number dividends and divisors? Give examples to justify your answer.