Question Video: Finding and Positioning Rational Numbers on a Horizontal or Vertical Number Line Diagram | Nagwa Question Video: Finding and Positioning Rational Numbers on a Horizontal or Vertical Number Line Diagram | Nagwa

Question Video: Finding and Positioning Rational Numbers on a Horizontal or Vertical Number Line Diagram Mathematics • First Year of Preparatory School

Which of numbers π‘Ž, 𝑏, 𝑐, and 𝑑 is 1(3/4)?

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Video Transcript

Which of numbers π‘Ž, 𝑏, 𝑐, and 𝑑 is one and three-quarters?

We know that one and three-quarters lies between the integers one and two. One and three-quarters is less than two and greater than one. This means that the only possible answers are 𝑐 and 𝑑.

There are three hash marks between each whole number. This means that there are four jumps. Each jump, therefore, represents one-quarter. As 𝑐 is one mark above one, 𝑐 is equal to one and a quarter. 𝑑 is three marks above one or one mark below two. This is equal to one and three-quarters. The correct answer is, therefore, 𝑑.

Whilst we’re not asked to in this question, we could also work out the values of π‘Ž and 𝑏. π‘Ž is a quarter above negative two or three-quarters below negative one. This means it is equal to negative one and three-quarters. 𝑏 is one-quarter below negative one, so it’s equal to negative one and a quarter. As already stated in this question, the correct answer is 𝑑.

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