Math Problem Statement
Find two rational numbers between 1 and 3, and 1/2 and 3/4; find four rational numbers between -2 and -1, 2 and 3/4, -4/5 and -3/4, -1/2 and 1/2.
Solution
Let's solve each part of the problem step-by-step.
Problem 13
You need to find two rational numbers between each pair of numbers.
(i) Between and :
To find two rational numbers between 1 and 3, we can use numbers like and (or in fraction form, and ).
Thus, two rational numbers between and are:
- or
- or
(ii) Between and :
To find two rational numbers between and , we can convert these fractions to have the same denominator (e.g., 8) or find decimal equivalents.
- Convert: and .
- Choose numbers between and , such as and (which is as a decimal).
Thus, two rational numbers between and are:
- or
- (
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Math Problem Analysis
Mathematical Concepts
Rational Numbers
Number Line
Formulas
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Theorems
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Suitable Grade Level
Grades 6-8