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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