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

What is the product of two negative numbers?

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

What is the result of subtracting an additive inverse?

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

What is the equivalent of subtracting a negative number?

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

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

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

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

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

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

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

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

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

What is the purpose of the distributive property in multiplication?

<p>To simplify multiplication of integers (A)</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 (C)</p> Signup and view all the answers

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

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

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

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

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

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

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

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

What is the result of subtracting -5 from 3?

<p>8 (A)</p> Signup and view all the answers

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

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

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

<p>1 (B)</p> Signup and view all the answers

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

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

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

<p>8 (B)</p> Signup and view all the answers

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

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

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

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

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

<p>0 (B)</p> Signup and view all the answers

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

<p>1 (D)</p> Signup and view all the answers

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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