Gr 9 MATH: Ch 1.1 Properties of Numbers
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Questions and Answers

What is the result of subtracting a natural number from another natural number?

  • Not always a natural number (correct)
  • Always a whole number
  • Always a natural number
  • Always a rational number

    • What is the role of 0 in the system of whole numbers?

  • To represent the largest possible number
  • To write numbers with multiple digits
  • To represent the absence of quantity (correct)
  • To separate the natural numbers

    • What is the additive inverse of an integer?

  • The number itself
  • The number plus one
  • The number divided by two
  • The opposite of the number (correct)

    • What is the characteristic of rational numbers?

    <p>They can be expressed as the quotient of two integers</p> Signup and view all the answers

    What is the set of real numbers composed of?

    <p>Both rational and irrational numbers</p> Signup and view all the answers

    What is the purpose of estimating in calculations?

    <p>To get close to an answer without performing precise calculations</p> Signup and view all the answers

    When performing addition, what is the correct way to start?

    <p>Start from the rightmost digit</p> Signup and view all the answers

    What is the purpose of borrowing in column subtraction?

    <p>To compensate for a lack of digits in the top number</p> Signup and view all the answers

    What is the result of long division when the remainder is less than the divisor?

    <p>The process is stopped</p> Signup and view all the answers

    What is the purpose of compensating for errors in estimation?

    <p>To correct for errors introduced by rounding</p> Signup and view all the answers

    What is a common property of natural numbers and whole numbers?

    <p>They are closed under addition and multiplication</p> Signup and view all the answers

    What is a key difference between whole numbers and integers?

    <p>Integers include negative numbers</p> Signup and view all the answers

    Which type of number includes fractions and negative fractions?

    <p>Rational Numbers</p> Signup and view all the answers

    What is a key property of irrational numbers?

    <p>They cannot be expressed as a fraction of two integers</p> Signup and view all the answers

    What is the set of real numbers composed of?

    <p>Both rational and irrational numbers</p> Signup and view all the answers

    What is the main advantage of estimating in calculations?

    <p>To avoid performing precise calculations</p> Signup and view all the answers

    When multiplying in columns, what is the purpose of expanding the notation?

    <p>To break down the numbers into simpler parts</p> Signup and view all the answers

    In long division, what happens to the remainder when it is less than the divisor?

    <p>The calculation is stopped and the remainder is the final answer</p> Signup and view all the answers

    What is the purpose of writing numbers in columns when performing addition?

    <p>To ensure accuracy in the calculation by adding each digit starting from the rightmost digit</p> Signup and view all the answers

    What is the term for correcting errors introduced by rounding?

    <p>Compensating for Errors</p> Signup and view all the answers

    What is the primary purpose of using expanded notation in multiplication?

    <p>To increase the accuracy of the calculation by considering all possible multiplications</p> Signup and view all the answers

    In column subtraction, what happens when the digit in the top number is smaller than the digit in the bottom number?

    <p>You borrow from a higher place value</p> Signup and view all the answers

    What is the primary advantage of using column addition?

    <p>It increases the accuracy of the calculation by considering each digit separately</p> Signup and view all the answers

    What is the main difference between long division and other division methods?

    <p>Long division is a step-by-step process, while other methods are more intuitive</p> Signup and view all the answers

    Why is rounding off numbers used in estimation?

    <p>To simplify the calculation by reducing the number of digits</p> Signup and view all the answers

    What is the main reason why 0 is included in the system of whole numbers?

    <p>To write numbers in a more compact form</p> Signup and view all the answers

    Which of the following statements is true about the sum of two integers?

    <p>The sum can be zero</p> Signup and view all the answers

    What is the main characteristic that distinguishes rational numbers from irrational numbers?

    <p>Rational numbers can be expressed as a fraction of two integers, while irrational numbers cannot</p> Signup and view all the answers

    What is the main property that natural numbers and whole numbers have in common?

    <p>They are both closed under addition and multiplication</p> Signup and view all the answers

    Which of the following statements is true about the system of whole numbers?

    <p>It is closed under addition and multiplication</p> Signup and view all the answers

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