Which of the following statements is true if p is an internet and q is a nonzero integer? a. an irrational number can be written as a fraction p/q. b. a rational number can not be written as a fraction p/q. c. all numbers can be written as a fraction p/q. d. a rational number can be written as a fraction p/q.

D. A rational number can be written as a fraction p/q

Step-by-step explanation:

All real numbers are classified into two major categories namely rational and irrational numbers.

A number which can be written in the form , p and q are integers and q ≠ 0 is called a rational number.

Ex:

is a rational number

5 is a rational number since 5 can be written as and clearly, 1 ≠ 0

0 is also rational since 0 can be written as .

A number which cannot be written in the form is called an irrational number.

Ex:

is an irrational number since it cannot be written in form,

Hence, the correct option is D.

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

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