Rational Numbers and Their Operations
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Questions and Answers

What are rational numbers?

Numbers that can be expressed as a fraction a/b, where a and b are integers and b is not zero.

How are rational numbers represented on a number line?

Rational numbers are placed at equal intervals on a number line based on their value.

The relationship among W, ℤ, and ℚ is that W is the set of ______, ℤ is the set of ______, and ℚ is the set of ______.

Whole numbers; integers; rational numbers.

What is absolute value of a rational number?

<p>The absolute value is the non-negative value of the number without regard to its sign.</p> Signup and view all the answers

What are some methods for comparing rational numbers?

<p>Methods include converting to a common denominator or comparing decimal values.</p> Signup and view all the answers

The addition of rational numbers can involve finding a common ______.

<p>denominator.</p> Signup and view all the answers

How do you subtract rational numbers?

<p>By finding a common denominator and then subtracting the numerators.</p> Signup and view all the answers

Which of the following represents the multiplication of rational numbers?

<p>Multiply the numerators and the denominators.</p> Signup and view all the answers

What is the process of dividing rational numbers?

<p>Multiply by the reciprocal of the divisor.</p> Signup and view all the answers

What is a real-life application of rational numbers?

<p>Sharing items equally among friends or calculating interests on loans.</p> Signup and view all the answers

What is the square of a rational number?

<p>The result of multiplying the number by itself.</p> Signup and view all the answers

How can you find the square roots of rational numbers?

<p>By determining which number multiplied by itself gives the original number.</p> Signup and view all the answers

What is the cube of a rational number?

<p>The result of multiplying the number by itself three times.</p> Signup and view all the answers

What is a cube root of a rational number?

<p>A number that, when multiplied by itself three times, yields the original number.</p> Signup and view all the answers

Study Notes

Rational numbers

  • Represented on a number line
  • Relationship with Whole numbers (W), Integers (ℤ) and Rational numbers (ℚ)
  • Have an absolute value

Comparing and ordering rational numbers

  • Rational numbers can be compared

Operations and properties of rational numbers

  • Rational numbers can be added, subtracted, multiplied, and divided

Real-life applications of rational numbers

  • Used for sharing something among friends
  • Used for calculating interest and loans

Squares and square roots

  • Square of a rational number is the result of multiplying the number by itself
  • Squares can be found using table values and scientific calculator
  • Square root of a rational number is the number that when multiplied by itself results in the original number
  • Square roots can be found using table values and scientific calculator

Cubes and cube roots

  • Cube of a rational number is the result of multiplying the number by itself three times
  • Cube root of a rational number is the number that when multiplied by itself three times results in the original number

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G8 U1-3 Rational Numbers PDF

Description

This quiz covers the fundamental concepts of rational numbers, including their representation on a number line, relationships with whole numbers and integers, and various operations such as addition, subtraction, multiplication, and division. Additionally, it explores real-life applications of rational numbers, as well as squares, square roots, cubes, and cube roots. Test your understanding of these essential mathematics concepts!

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