Arithmetic Fundamentals

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Questions and Answers

What is the correct order of operations in mathematics?

  • Exponents, Parentheses, Multiplication, Division, Addition, Subtraction
  • Parentheses, Exponents, Multiplication, Division, Addition, Subtraction (correct)
  • Addition, Subtraction, Multiplication, Division, Parentheses, Exponents
  • Multiplication, Division, Addition, Subtraction, Parentheses, Exponents

Rounding a number always makes it more accurate.

False (B)

What is the decimal equivalent of $\frac{3}{4}$?

0.75

$\frac{1}{2}$ is equivalent to what percentage? __________%

<p>50</p> Signup and view all the answers

Match the following terms with their definitions:

<p>Variable = A symbol representing an unknown quantity Constant = A fixed value that does not change Coefficient = A number multiplied by a variable Expression = A combination of variables, numbers, and operations</p> Signup and view all the answers

Which of the following is an example of a proportional problem?

<p>Determining the amount of ingredients needed for a recipe when scaling it up. (B)</p> Signup and view all the answers

When solving for an unknown in an equation, the goal is to isolate the variable on one side of the equation.

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

What is the average of the numbers 2, 4, 6, and 8?

<p>5</p> Signup and view all the answers

In the formula $A = \pi r^2$, '$\pi$' represents ________.

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

Match the type of graph with the data it is best suited to represent:

<p>Bar Graph = Compares categorical data Line Graph = Shows trends over time Pie Chart = Shows proportions of a whole Scatter Plot = Shows the relationship between two variables</p> Signup and view all the answers

Which of the following correctly converts 0.65 to a percentage?

<p>65% (D)</p> Signup and view all the answers

Simplifying an expression changes its value.

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

What is 25% of 80?

<p>20</p> Signup and view all the answers

In the equation $y = mx + b$, 'm' represents the ________ of the line.

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

Match the following metric prefixes with their corresponding powers of 10:

<p>Kilo- = 10^3 Centi- = 10^-2 Milli- = 10^-3 Mega- = 10^6</p> Signup and view all the answers

What is the value of $x$ in the equation $2x + 5 = 15$?

<p>5 (D)</p> Signup and view all the answers

A pie chart is best used to show trends over time.

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

What is the area of a rectangle with a length of 10 units and a width of 5 units?

<p>50</p> Signup and view all the answers

Two lines are perpendicular if the product of their slopes is ________.

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

Match each operation with its inverse operation:

<p>Addition = Subtraction Multiplication = Division Squaring = Square Root Exponentiation = Logarithm</p> Signup and view all the answers

Flashcards

Basic Arithmetic Operations

Addition, subtraction, multiplication, and division applied to whole numbers, decimals, and fractions.

Order of Operations

Simplifying expressions by following the correct sequence of operations.

Simplification of Fractions

Reducing a fraction to its simplest form by dividing both numerator and denominator by their greatest common divisor.

Rounding Numbers

Approximating a number to a specified place value.

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Averaging Numbers

Finding the central value of a set of numbers by adding them and dividing by the count.

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Fraction to Decimal

Expressing a fraction as its equivalent decimal value.

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Decimal to Fraction

Expressing a decimal as its equivalent fractional representation.

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Decimal to Percentage

Expressing a number as parts per hundred.

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Ordering Numbers

Arranging numbers from least to greatest or vice versa.

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Calculating Percentages

Finding a number as a specified fraction of another number.

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Converting Measurements

Changing units of measurement (e.g., inches to feet).

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Solving for Unknowns

Finding the missing value in an equation.

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Formulaic Problems

Solving mathematical problems using given formulas.

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Interpreting Visual Data

Extracting relevant information from charts, graphs and tables.

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Proportionality

A statement that two ratios are equal

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Study Notes

  • Covers basic arithmetic operations with whole numbers, decimals, and fractions.
  • Includes order of operations and simplification.
  • Addresses manipulating numbers through rounding.
  • Covers averaging and converting between fractions, decimals, and percentages.
  • Describes ordering numbers.
  • Includes practical applications like calculating percentages.
  • Includes coverting measurements and solving for unknowns.
  • Mentions tackling proportional and formulaic problems.
  • Focuses on interpreting visual data presented in graphs, charts, and tables.

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