Algebra and Prefixes Quiz
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Questions and Answers

What is the algebraic sum of -34 and 18?

  • 16
  • -16 (correct)
  • 52
  • -52
  • What is the product of 7 and -5?

  • 35
  • -35 (correct)
  • 12
  • -12
  • What is the quotient of -24 divided by -6?

  • 144
  • -144
  • -4
  • 4 (correct)
  • If you subtract -10 from 25, what is the result?

    <p>35 (A)</p> Signup and view all the answers

    What is the algebraic sum of -5, 10, and -2?

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

    What prefix would you use to denote one millionth of a unit?

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

    If you have a value expressed in centi-units, how would you convert it to base units?

    <p>Multiply by 100 (D)</p> Signup and view all the answers

    Which prefix represents a factor of $10^{-9}$?

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

    What is a fraction in its lowest terms?

    <p>A fraction that cannot be divided by any number besides 1 (A)</p> Signup and view all the answers

    Which of the following expresses one-tenth as a decimal?

    <p>0.1 (C)</p> Signup and view all the answers

    If you divide a number into 1,000 equal parts, each part represents which fraction of the number?

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

    How would you express 0.000001 in terms of prefixes?

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

    Which of the following prefixes indicates a factor of $10^{1}$?

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

    What must be done to the decimal in the dividend when the decimal in the divisor is moved to convert it into a whole number?

    <p>It must be moved in the same direction and the same number of spaces. (B)</p> Signup and view all the answers

    What is the dividend in the calculation of 37.26 divided by 2.7?

    <p>37.26 (A)</p> Signup and view all the answers

    If the multiplicand is 26.757 and the multiplier is 0.32, what is the first step to set up the multiplication?

    <p>Convert both numbers into whole numbers by moving the decimals. (A)</p> Signup and view all the answers

    After calculating 26.757 x 0.32, how many decimal places should be counted to set the decimal point in the product?

    <p>Five decimal places. (C)</p> Signup and view all the answers

    What is the decimal result of 37.26 divided by 2.7?

    <p>13.8 (C)</p> Signup and view all the answers

    When multiplying 26.757 by 0.32, which operation is performed first?

    <p>Convert 0.32 to a whole number. (D)</p> Signup and view all the answers

    What is the role of the divisor in the equation of 37.26 divided by 2.7?

    <p>It represents the number to divide by. (A)</p> Signup and view all the answers

    What happens to the decimal when converting 2.7 into a whole number?

    <p>It is moved to the right. (B)</p> Signup and view all the answers

    What is the main purpose of the document mentioned?

    <p>To satisfy regulations and be approved for use at AU (D)</p> Signup and view all the answers

    Which regulatory requirements does the document fulfill?

    <p>EASA Part-66 and CAAS SAR−66 (D)</p> Signup and view all the answers

    What is prohibited regarding the training documents?

    <p>Reproducing or copying them in any format (C)</p> Signup and view all the answers

    Who owns the rights to the training documents?

    <p>Lufthansa Technical Training GmbH (LTT) (C)</p> Signup and view all the answers

    What is the significance of the 'Rev.-ID: 1APR2023' notation?

    <p>It indicates the document's version date (D)</p> Signup and view all the answers

    What type of training does this document relate to?

    <p>Technical training for cabin base electricians (B)</p> Signup and view all the answers

    What does the abbreviation 'AU' refer to in this document?

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

    What is clearly indicated in the training materials concerning their use?

    <p>They are for internal training purposes only (D)</p> Signup and view all the answers

    What is the SI unit for length?

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

    Which of the following defines the meter since 1983?

    <p>The distance light travels in a vacuum in 1/299,792,458 of a second. (D)</p> Signup and view all the answers

    How many millimeters are in one meter according to the decimal system?

    <p>1000 (B)</p> Signup and view all the answers

    Which system of measurement is not commonly used in the US for length?

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

    What is the relationship between meters and kilometers?

    <p>1 km is equal to 1000 m. (D)</p> Signup and view all the answers

    The original definition of the meter used in 1799 was based on which measurement?

    <p>10 millionths of 1/4 of an earth meridian. (B)</p> Signup and view all the answers

    Which of the following is a natural constant used to define basic units?

    <p>Speed of light (A)</p> Signup and view all the answers

    What does 1 meter consist of in terms of decimeters, centimeters, and millimeters?

    <p>10 dm, 100 cm, 1000 mm (A)</p> Signup and view all the answers

    What is the first step when multiplying fractions if there are common factors in the numerator and denominator?

    <p>Cancel any common factors before multiplying. (B)</p> Signup and view all the answers

    What does the word 'of' indicate in problems involving fractions?

    <p>Multiplication of the fractions. (C)</p> Signup and view all the answers

    Calculate the result of multiplying the fractions $\frac{2}{3}$ and $\frac{5}{7}$ and then simplifying the final answer.

    <p>$\frac{10}{21}$ (A)</p> Signup and view all the answers

    What is the equivalent of multiplying $\frac{3}{8}$ by $\frac{5}{8}$?

    <p>$\frac{15}{64}$ (D)</p> Signup and view all the answers

    If we have the expression $\frac{1}{3} \cdot \frac{5}{1}$, what is the outcome when simplified?

    <p>$\frac{5}{3}$ (D)</p> Signup and view all the answers

    What is the final result of multiplying $\frac{2}{5}$ by $\frac{21}{32}$ after canceling common factors?

    <p>$\frac{7}{16}$ (D)</p> Signup and view all the answers

    In the multiplication of $\frac{3}{8}$ and $\frac{7}{11}$, what is the common factor canceled?

    <p>None, as there are no common factors. (C)</p> Signup and view all the answers

    What is the equivalent decimal form of the fraction $\frac{5}{16}$?

    <p>0.3125 (B)</p> Signup and view all the answers

    Flashcards

    Document Compliance

    This document meets the standards set by the "DGCA KCASR 1 Part 66 Appendix I" and is approved for use at AU.

    Training Focus

    This training manual covers fundamental mathematics relevant to cabin base electrician/mechanics.

    International Standards

    This manual is aligned with the requirements of EASA Part-66, UAE GCAA CAR 66, and CAAS SAR-66.

    Training Category

    The category of training covered is B1/B2.

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    Specific Training Unit

    This manual aligns with the training requirements for the M01-B12 E section.

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    Export Control

    This document is subject to export control regulations and is intended for internal training use only.

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    Copyright Ownership

    Lufthansa Technical Training (LTT) owns all rights to the training materials, including documents and software.

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    Copyright Restrictions

    Reproduction or copying of the training materials is prohibited without explicit written permission from Lufthansa Technical Training (LTT).

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    Algebraic sum

    The result of adding or subtracting signed numbers.

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    Multiplying signed numbers: negative x negative

    The product of two negative numbers is always positive.

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    Multiplying signed numbers: positive x negative

    The product of a positive and a negative number is always negative.

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    Subtracting signed numbers

    When subtracting signed numbers with different signs, change the operation sign to plus and change the sign of the subtrahend.

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    Dividing signed numbers

    Like multiplying signed numbers, division of signed numbers follows the same sign rules.

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    Dividing signed numbers: negative / negative

    The quotient of two negative numbers is positive.

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    Dividing signed numbers: positive / negative

    The quotient of a positive and a negative number is negative.

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    Dividing signed numbers: negative / positive

    The quotient of a negative and a positive number is negative.

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    Dividend

    The number that's being divided.

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    Divisor

    The number that the dividend is being divided by.

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    Quotient

    The result of dividing one number by another.

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    Decimal shifting in division

    Moving the decimal point in both the divisor and dividend to the right by the same number of places to make the divisor a whole number.

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    Decimal places

    The number of digits after the decimal point in a number.

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    Product

    The product of the multiplicand and the multiplier.

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    Multiplicand

    A number that is multiplied by another number.

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    Multiplier

    A number that multiplies another number.

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    Multiplying Fractions

    Multiplying fractions involves multiplying the numerators (top numbers) and the denominators (bottom numbers).

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    Simplifying Fractions Before Multiplication

    Before multiplying fractions, look for common factors in the numerators and denominators, and simplify by dividing them out.

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    The Word 'of' in Fractions

    The word 'of' in fraction problems means 'multiply'.

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    Complex Fraction

    To find the value of a complex fraction (fraction within a fraction), simplify the smaller fractions first and then perform the multiplication.

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    Common Fraction

    A fraction that represents a portion of a whole, often expressed as a numerator divided by a denominator.

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    Lowest Terms

    A common fraction is in its lowest terms when the numerator and denominator have no common factors other than 1.

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    Metric Prefix

    A value that represents a power of 10, often used to express very large or very small numbers.

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    Kilo (k)

    Means 'one thousand', which is equivalent to 10 raised to the power of 3 (10³).

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    Centi (c)

    Means 'one hundredth', which is equivalent to 10 raised to the power of -2 (10⁻²).

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    Deci (d)

    Means 'one tenth', which is equivalent to 10 raised to the power of -1 (10⁻¹).

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    Micro (µ)

    Means 'one millionth', which is equivalent to 10 raised to the power of -6 (10⁻⁶).

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    Nano (n)

    Means 'one billionth', which is equivalent to 10 raised to the power of -9 (10⁻⁹).

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    Meter (m)

    A standard unit of measurement for length, defined as the distance light travels in a vacuum in 1/299,792,458 of a second.

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    Decimal System for Length

    The decimal system uses powers of 10 to represent larger and smaller values. For example, 1 meter (m) is equal to 10 decimeters (dm), 100 centimeters (cm), or 1000 millimeters (mm).

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    Speed of Light

    The distance a light beam travels in a vacuum in 1/299,792,458 of a second. It is constant and used to define the meter.

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    Meridian Quadrant

    A meridian quadrant is the distance from the geographic pole to the equator, roughly 1/4 of the Earth's circumference.

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    Prototype Meter

    An alloy of platinum and iridium, was used as the standard for the meter until 1960.

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    Foot (ft)

    The foot (ft) is the standard unit of length used in the US, unlike the metric system.

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    Measures

    Measures are used to determine the exact size or distance of objects, like the length of a street or the length of a plane.

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    Units

    Units are the building blocks of measurement, like meters for length, grams for weight, or liters for volume.

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    Study Notes

    Document Details

    • Document satisfies DGCA KCASR 1 Part 66 Appendix I requirements
    • Approved for use at AU (Australian University)

    Course Details

    • Fundamentals M1 Mathematics
    • Compliant with EASA Part-66, UAE GCAA CAR 66, CAAS SAR-66
    • Category B1/B2
    • Rev.-ID: 1APR2023
    • Author: SCP
    • OLTT Release: Jun. 9, 2023

    Training Manual

    • Copyright by Lufthansa Technical Training GmbH (LTT)
    • For training purposes and internal use only
    • Does not contain Export Administration Regulations (EAR) controlled information

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    Description

    Test your knowledge on basic algebraic operations and metric prefixes. This quiz covers topics such as addition, subtraction, multiplication, and prefixes in the metric system. See how well you understand these fundamental concepts!

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