Gr 9 MATH: Ch 2.1 Calculating with Integers
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Questions and Answers

What is the result of subtracting a larger number from a smaller number?

  • Zero
  • A negative number (correct)
  • One
  • A positive number

    • What is the equivalent of adding a negative number?

  • Dividing the corresponding positive number
  • Adding the corresponding positive number
  • Subtracting the corresponding positive number (correct)
  • Multiplying the corresponding positive number

    • What is the result of adding a positive and a negative number?

  • Depends on the magnitudes of the numbers (correct)
  • Always zero
  • Always positive
  • Always negative

    • What is the additive inverse of a positive number?

    <p>The corresponding negative number</p> Signup and view all the answers

    What is the product of two negative numbers?

    <p>Positive</p> Signup and view all the answers

    What is the result of subtracting an additive inverse?

    <p>Twice the original number</p> Signup and view all the answers

    What is the equivalent of subtracting a negative number?

    <p>Adding the corresponding positive number</p> Signup and view all the answers

    What is the result of adding a negative number to itself?

    <p>Zero</p> Signup and view all the answers

    What is the rule for multiplying a positive number and a negative number?

    <p>The product is always negative</p> Signup and view all the answers

    What is the result of adding a positive number and its additive inverse?

    <p>Zero</p> Signup and view all the answers

    What is the result of adding a number to its additive inverse?

    <p>Zero</p> Signup and view all the answers

    What is the result of multiplying a positive and a negative integer?

    <p>A negative integer</p> Signup and view all the answers

    What is the purpose of the distributive property in multiplication?

    <p>To simplify multiplication of integers</p> Signup and view all the answers

    What is the result of subtracting an integer from another?

    <p>The same as subtracting the additive inverse of the integer</p> Signup and view all the answers

    What is the notation for the square root of a number x?

    <p>√x</p> Signup and view all the answers

    What is the result of dividing a positive number by a negative number?

    <p>A negative number</p> Signup and view all the answers

    What real-world situation can be modeled using integers and the rules of arithmetic operations?

    <p>Both A and B</p> Signup and view all the answers

    What is the notation for the cube of a number x?

    <p>x^3</p> Signup and view all the answers

    What is the result of adding a positive and a negative integer with the same absolute value?

    <p>Zero</p> Signup and view all the answers

    What is the purpose of the rules of division with integers?

    <p>To determine the sign of the quotient</p> Signup and view all the answers

    If a is a positive integer, what is the result of a + (-a) + a?

    <p>2a</p> Signup and view all the answers

    What is the result of subtracting -5 from 3?

    <p>8</p> Signup and view all the answers

    If x is a negative integer, what is the result of x × (-x)?

    <p>x^2</p> Signup and view all the answers

    What is the result of 4 - (-2) + (-3) ?

    <p>1</p> Signup and view all the answers

    If a is a positive integer, what is the result of a × a × (-1)?

    <p>-a^2</p> Signup and view all the answers

    What is the result of -2 + 5 - (-3) ?

    <p>8</p> Signup and view all the answers

    If x is a negative integer, what is the result of x - (-x) ?

    <p>2x</p> Signup and view all the answers

    What is the result of 2 × (-3) + (-2) ?

    <p>-10</p> Signup and view all the answers

    If a is a positive integer, what is the result of a - (-a) + (-a) ?

    <p>0</p> Signup and view all the answers

    What is the result of -4 + 2 - (-1) ?

    <p>1</p> Signup and view all the answers

    What is the result of $a(b - c)$ using the distributive property?

    <p>$ab - ac$</p> Signup and view all the answers

    What is the result of $(-a)(-b)$?

    <p>$ab$</p> Signup and view all the answers

    What is the result of $(a + b)(a - b)$ using the distributive property?

    <p>$a^2 - b^2$</p> Signup and view all the answers

    What is the result of $(-a)^2$?

    <p>$a^2$</p> Signup and view all the answers

    What is the result of $a^3$ when $a = -2$?

    <p>$-8$</p> Signup and view all the answers

    What is the result of $\sqrt{(-a)^2}$?

    <p>$a$</p> Signup and view all the answers

    What is the result of $a^2 - 2a$ when $a = 3$?

    <p>$0$</p> Signup and view all the answers

    What is the result of $(-a)^3$ when $a = 2$?

    <p>$-8$</p> Signup and view all the answers

    What is the result of $(a + b)(a + c)$ using the distributive property?

    <p>$a^2 + ac + bc$</p> Signup and view all the answers

    What is the result of $(a - b)(a + b)$ using the distributive property?

    <p>$a^2 - b^2$</p> Signup and view all the answers

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