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  1. Jan 3, 2023 · Identify a rational number by checking to see if it can be represented as p/q, where q≠0. Then, ensure you can further simplify the p/q ratio and translate it into decimal form. For example, ¾ is a rational number because it can be calculated as a fraction where q (4) does not equal 0, and its decimal form (.75) is finite.

  2. Aug 2, 2023 · Rational numbers can be written as fractions and ratios. The most common rational numbers are positive and negative integers. The most common irrational number used in math is Pi.

  3. 4. Perfect square roots: All perfect square roots are rational numbers. Perfect square roots always have a whole number as the answer. Since the square roots are positive whole numbers, they are rational and therefore make the square root rational.

  4. First, let us see what happens when we square a rational number: If the rational number is a/b, then that becomes a 2 /b 2 when squared. Notice that the exponent is 2, which is an even number.

  5. Answer: Solution: 1. [latex]0.58\overline{3}[/latex] The bar above the [latex]3[/latex] indicates that it repeats. Therefore, [latex]0.58\overline{3}[/latex] is a repeating decimal, and is therefore a rational number. 2. [latex]0.475[/latex] This decimal stops after the [latex]5[/latex], so it is a rational number. 3.

  6. There are four types of numbers that fall under the integer category. There are rules for integers based on the four basic operations: Addition rule – If the sign of both integers is the same, the result will have the same sign. Two positives equal a positive and two negatives equal a negative. 5 + 5 = 10. - 14 + ( - 12 ) = - 26.