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 (C)</p> Signup and view all the answers

What is the set of real numbers composed of?

<p>Both rational and irrational numbers (B)</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 (C)</p> Signup and view all the answers

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

<p>Start from the rightmost digit (D)</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 (C)</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 (A)</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 (D)</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 (C)</p> Signup and view all the answers

What is a key difference between whole numbers and integers?

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

Which type of number includes fractions and negative fractions?

<p>Rational Numbers (A)</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 (B)</p> Signup and view all the answers

What is the set of real numbers composed of?

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

What is the main advantage of estimating in calculations?

<p>To avoid performing precise calculations (A)</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 (C)</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 (A)</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 (A)</p> Signup and view all the answers

What is the term for correcting errors introduced by rounding?

<p>Compensating for Errors (C)</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 (B)</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 (D)</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 (D)</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 (D)</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 (A)</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 (C)</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 (A)</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 (A)</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 (C)</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 (D)</p> Signup and view all the answers

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