Math Gr 8 Ch 4: Calculating using numbers in Exponentail Form
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Questions and Answers

What is the product of two negative integers?

  • Negative
  • Undefined
  • Positive (correct)
  • Zero

For any integers $a$ and $b$, which of the following is true?

  • $a + b = b + a$
  • $a imes b = b imes a$ (correct)
  • $a - b = b - a$
  • $a \div b = b \div a$

What is the quotient of a positive integer and a negative integer?

  • Positive
  • Zero
  • Undefined
  • Negative (correct)

For any integers $a$, $b$, and $c$, which of the following is true?

<p>$a imes (b + c) = (a imes b) + (a imes c)$ (C)</p> Signup and view all the answers

What is the product of a positive integer and a negative integer?

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

What is the order of operations when combining integers?

<p>Parentheses/Brackets, Exponents/Orders, Addition and Subtraction (from left to right), Multiplication and Division (from left to right) (C)</p> Signup and view all the answers

What is the result of squaring a fraction?

<p>A new fraction where both the numerator and the denominator are squared (B)</p> Signup and view all the answers

How do you find the square root of a fraction?

<p>By taking the square root of the numerator and the denominator separately (B)</p> Signup and view all the answers

What is the result of cubing a fraction?

<p>A new fraction where both the numerator and the denominator are cubed (B)</p> Signup and view all the answers

How do you express a large number in scientific notation?

<p>By writing it as the product of a number between 1 and 10 and a power of 10 (B)</p> Signup and view all the answers

What happens when you subtract a negative integer?

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

How do you compare numbers in scientific notation?

<p>Compare the exponents first, then the base numbers (B)</p> Signup and view all the answers

What happens when you add a positive integer?

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

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

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

Which property of multiplication states that the order of multiplication does not change the product?

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

What is the result of dividing a negative integer by a negative integer?

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

What is the result of multiplying a negative integer by a negative integer?

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

What is the formula for multiplying an integer by the sum of two integers?

<p>$a imes (b + c)$ (C)</p> Signup and view all the answers

What is the result of multiplying a number by 10^3 in scientific notation?

<p>The number is multiplied by 1000 (D)</p> Signup and view all the answers

Which of the following expressions is equivalent to 2 × 3^2?

<p>2 × 9 (D)</p> Signup and view all the answers

What is the result of subtracting a negative integer from a positive integer?

<p>The result is always positive (B)</p> Signup and view all the answers

What is the result of squaring the fraction 3/4?

<p>9/16 (D)</p> Signup and view all the answers

What is the result of cubing the fraction 2/3?

<p>8/27 (D)</p> Signup and view all the answers

How do you compare two numbers in scientific notation?

<p>Compare the exponents and then the base numbers (A)</p> Signup and view all the answers

What is the result of multiplying two numbers in scientific notation?

<p>The base numbers are multiplied and the exponents are added (A)</p> Signup and view all the answers

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

<p>The result depends on the values of the integers (B)</p> Signup and view all the answers

What is the result of multiplying an integer by the difference of two negative integers?

<p>A positive integer (B)</p> Signup and view all the answers

Which property of multiplication allows us to rewrite $a imes (b - c)$ as $(a imes b) - (a imes c)$?

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

What is the result of dividing a positive integer by the sum of a positive and a negative integer?

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

Which of the following expressions is equivalent to $a imes (b + c) + a imes (b - c)$?

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

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

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

What is the result of applying the order of operations to the expression $2 × (3 + 4) × (5 - 2)$?

<p>70 (D)</p> Signup and view all the answers

If $a = 2$ and $b = -3$, what is the value of $(a + b)^2$?

<p>25 (C)</p> Signup and view all the answers

What is the result of finding the cube root of the fraction $27/64$?

<p>3/2 (C)</p> Signup and view all the answers

What is the result of converting the number $0.0000063$ to scientific notation?

<p>6.3 × 10^(-5) (A)</p> Signup and view all the answers

What is the result of multiplying the numbers $3 × 10^4$ and $2 × 10^2$ in scientific notation?

<p>6 × 10^6 (B)</p> Signup and view all the answers

Which of the following is true when comparing the numbers $2 × 10^5$ and $1.5 × 10^6$ in scientific notation?

<p>The second number is greater. (B)</p> Signup and view all the answers

What is the result of adding $5$ and $-3$?

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

What is the result of subtracting $-2$ from $4$?

<p>6 (C)</p> Signup and view all the answers

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