![]() ![]() In this thesis we discuss the case of p-adic and rational zeros for a pair of additive quartic forms with rational coefficients, and we prove. Implications for the teaching of mathematics in these two countries were also discussed. The discrepancy in student performance can be explained by differences in the curricula of mathematics in grade four in these countries. The results indicate that students have a better grasp of the inverse relationship between the quantities in the quotient situation and also showed that Portuguese students performed significantly better than Brazilian students in the both types of situations. The main goals of this study were: to understand if the inverse relationship between smaller quantities than the unit in quotient and part-whole situations influences the learning of fractions and to compare Brazilian and Portuguese students’ comprehension of the inverse relationship between quantities in fraction problems, using quotient and part-whole situations. ![]() Regarding fractions, to establish the inverse relationship between the numerator and the denominator becomes a key issue in concept formation. The understanding of rational numbers is one of the major conceptual challenges faced by students in mathematics learning in basic education. So the research paper suggests that we can explain this statement with: ∞ × 0 =. About: ∞ × 0, this is called an indeterminate form in Limits, which means that the result can be any number, any variable or any term. ![]() The large denominator results a small output, the largest nonnegative number in the denominator (∞), will result the smallest number on the total which is considered (0). About ∞ = 0, this is just the opposite of the original theory. ∞ × 0 = Those equations need to be proved if 0 is equal to "0".This suggested theory leads to think about the same equation in other terms as he following: ∞ = 0 Mathematically, because of the small denominator results a large output, the smallest nonnegative number in the denominator (0), will result the biggest number on the total which is considered (∞). Logically, eating almost no piece (0) from an apple (R) until finishing it will take endless time (∞) because every time, you are eating nothing, this action will last forever. This argumentative research paper suggests that dividing a rational number by Zero equals to infinity as the following: 0 = ∞ (, ≠ 0). ![]()
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