[Fully_Updated]! CheckPoint 156-836  Exam Questions for Excellent Results

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Questions and Answers

What is the result of the expression $3 + (-5) + 8$?

  • 6
  • 10
  • 4 (correct)
  • 0

Which of the following statements is true regarding negative numbers?

  • They represent quantities below a reference point. (correct)
  • They cannot be represented on a number line.
  • The multiplication of two negative numbers results in a negative product.
  • They are greater than zero.

When using the order of operations, which expression should be calculated first in: $2 + 3 imes (4 - 2)$?

  • Add $2 + 3$ first
  • Multiply $3 imes 4$ first
  • Add $3 + 4$ first
  • Calculate $4 - 2$ first (correct)

On a number line, where are positive numbers located in relation to zero?

<p>To the right of zero (A)</p> Signup and view all the answers

What is the result of $(-7) - (-3)$?

<p>-4 (A)</p> Signup and view all the answers

If $a = -4$ and $b = 6$, what is the result of $a + b$?

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

Which operation should be performed last in the expression $8 - 3 + 2$?

<p>Add $2$ to the result (B)</p> Signup and view all the answers

Which of the following describes how to subtract two integers?

<p>Subtracting two integers is like adding the opposite of the second integer. (C)</p> Signup and view all the answers

Flashcards

Negative Numbers

Numbers less than zero, representing quantities below a reference point.

Number Line

A visual representation of numbers in sequential order, showing their relative magnitudes and direction.

Order of Operations

A set of rules for evaluating arithmetic expressions, ensuring consistent calculation results(PEMDAS/BODMAS).

Integer Addition

Adding integers with same sign: add absolute values; integers with different signs: find difference of absolute values, apply bigger absolute value sign.

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Integer Subtraction

Subtract integers by adding the opposite.

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Integer Multiplication

Same signs give positive; different signs give negative result.

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Integer Division

Same signs give positive, different signs give negative result.

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Basic Arithmetic

Fundamental operations like addition, subtraction, multiplication, and division applied to numbers

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Study Notes

Basic Arithmetic

  • Basic arithmetic involves fundamental operations like addition, subtraction, multiplication, and division applied to numbers.
  • These operations form the foundation for more complex mathematical concepts.
  • Understanding these operations is crucial for many everyday tasks and problem-solving.

Negative Numbers

  • Negative numbers are numbers less than zero.
  • They are used to represent quantities in situations where a quantity falls below a reference point (zero).
  • Examples include temperatures below freezing point, debts, and losses.
  • Negative numbers are represented with a minus sign (-) preceding the number (e.g., -5).

Number Line Representation

  • A number line is a visual representation of numbers.
  • It displays numbers in a sequential order along a straight line.
  • Numbers increase from left to right.
  • Zero is typically located at the center of the line.
  • Positive numbers are positioned to the right of zero, and negative numbers to the left.
  • The number line helps visualize the relative magnitudes and order of numbers.
  • It also demonstrates the concept of numerical distance and direction.

Order of Operations

  • The order of operations (PEMDAS/BODMAS) specifies the sequence in which calculations are performed in arithmetic expressions.
  • Parentheses (or brackets): Evaluate expressions within parentheses first.
  • Exponents (or orders): Calculate expressions with exponents next.
  • Multiplication and Division: Perform multiplication and division from left to right.
  • Addition and Subtraction: Perform addition and subtraction from left to right.
  • This order ensures that calculations are performed in a consistent way, eliminating ambiguity and producing reliable results.
  • Misapplication of order of operations leads to errors in calculations.

Integer Operations

  • Integers are whole numbers (positive, zero, or negative).
  • Operations with integers involve addition, subtraction, multiplication, and division.
  • Addition of integers: Adding two integers with the same sign involves adding the absolute values and keeping the same sign. Adding two integers with different signs involves finding the difference of the absolute values and using the sign of the greater absolute value.
  • Subtraction of integers: Subtracting two integers is equivalent to adding the opposite of the second integer.
  • Multiplication and Division of integers: Multiplying/dividing integers with the same signs result in a positive product/quotient. Multiplying/dividing integers with different signs result in a negative product/quotient.
  • Rules for negative numbers need to be followed when performing integer operations.

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