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Week 3: Number - Rational numbers

Creating Integers (Printable PDF)

Find a positive integer so that when you multiply 0.20 by that integer, the product is an integer. What is the smallest positive integer that will "work"? What are the smallest positive integers that will work for other decimals such as 0.05, 1.25, 0.375, 0.444...,  ?

Compare your answers with the fraction equivalents of 0.20, 0.05, 1.25, 0.375, 0.444.... and .

Describe how a fraction equivalent can be determined from a decimal number.


Will this method work for all decimal numbers?



As seen in Problem Exploration

M6N1:  Students will understand the meaning of the four arithmetic operations as related to positive rational numbers and percents using these concepts to solve problems.

a. Use factors and multiples.

e. Use fractions, decimals, and percents interchangeably.

f. Solve problems involving fractions, decimals, and percents and justify the process.

a. The student can look at multiples of the decimals to find the first integer value easily especially if a spreadsheet is used.

e. The student is converting decimals to fractions (therefore, “interchanging” them).

f. In order to solve the problem, the student uses fractions and decimals.

M7N1  Students will understand the meaning of positive and negative numbers including rational numbers and will compute with them.

b.  Compare and order rational numbers including repeating decimals.

d.  Solve problems using rational numbers.

b. If using a spreadsheet program, the student can put the numbers in ascending or descending order which allows the student to compare the rational numbers.   

d. This investigation involves solving a problem that uses rational numbers.