What is the correct increasing order of 13/4, √11, and 3.28 on the number line?
Answer and explanation
Correct answer: 13/4, 3.28, √11
To compare unlike forms on a number line, express them in comparable decimal approximations. First, 13/4 = 3.25 exactly. Next, √11 is between √9 = 3 and √16 = 4; more accurately, √11 ≈ 3.3166. The three values are therefore 3.25, 3.28, and approximately 3.3166. Since 3.25 < 3.28 < 3.3166, the increasing order is 13/4, 3.28, √11. Hence option A is correct. Option B places 3.28 before 3.25, option C treats √11 as the smallest, and option D places √11 before 3.28, contrary to its approximate value.
Frequently asked questions
What is the correct answer to this question?
13/4, 3.28, √11
Why is this the correct answer?
To compare unlike forms on a number line, express them in comparable decimal approximations. First, 13/4 = 3.25 exactly. Next, √11 is between √9 = 3 and √16 = 4; more accurately, √11 ≈ 3.3166. The three values are therefore 3.25, 3.28, and approximately 3.3166. Since 3.25 < 3.28 < 3.3166, the increasing order is 13/4, 3.28, √11. Hence option A is correct. Option B places 3.28 before 3.25, option C treats √11 as the smallest, and option D places √11 before 3.28, contrary to its approximate value.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Representing real numbers on the number line.
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