2023-01-30T04:10:36+03:00[Europe/Moscow] en true <p><strong>Scientific notation</strong></p>, <p>Scientific notation takes the format _____.</p>, <p>The <strong>significand</strong> must be _____.</p>, <p>The <strong>exponent</strong> must be an _____.</p>, <p><strong>Significant figures</strong> include all _____ and any trailing zeroes in _____.</p>, <p>Measurements are an exception, in that the last digit provided is _____.</p>, <p>In addition and subtraction, reduce the answer to have _____.</p>, <p>In multiplication and division, reduce the answer to have _____.</p>, <p>The entire number should be _____ to minimize rounding error.</p>, <p>In multiplication, if one number is rounded up, the other should _____.</p>, <p>In division, if one number is rounded up, the other should _____.</p>, <p><strong>Exponents</strong></p>, <p><strong>Logarithms</strong></p>, <p><strong>Natural logarithms</strong>, which use base _____ can be converted into <strong>common logarithms</strong>, which use base _____.</p>, <p>Trigonometric relationships can be calculated based on _____.</p>, <p><strong>Sine</strong></p>, <p><strong>Cosine</strong></p>, <p><strong>Tangent</strong></p>, <p><strong>Inverse trigonometric functions</strong></p>, <p><strong>Direct relationships</strong></p>, <p><strong>Inverse relationships</strong></p>, <p>Conversions between metric prefixes require _____.</p>, <p>Conversions between units of different scales require _____, and may require _____.</p>, <p><strong>Dimensional analysis</strong></p>, <p>Algebraic systems may be solved by _____, _____, or _____. The general ideas are the same in each—solve for one variable, and then substitute the variable into an equation to solve for the other—although the specific methods are different.</p> flashcards
MCAT Physics and Math 10: Concept Summary

MCAT Physics and Math 10: Concept Summary

Customize
collection saved
Share
Long Term Learning Spaced Repetition
Add to Long Term Learning Desk
Fast learning Repeat this set of flashcards
Preview Test Spell
Play
Match
Review

  • Scientific notation

    Scientific notation is a method of writing numbers in a way that improves the ease of calculations and the comparability of significant digits.

  • Scientific notation takes the format _____.

    [significand] × 10[exponent]

  • The significand must be _____.

    greater than or equal to 1 and less than 10

  • The exponent must be an _____.

    integer

  • Significant figures include all _____ and any trailing zeroes in _____.

    nonzero digits

    a number with a decimal point

  • Measurements are an exception, in that the last digit provided is _____.

    not significant (depending on who you ask)

  • In addition and subtraction, reduce the answer to have _____.

    the same number of decimal places as the number with the fewest number of decimal places

  • In multiplication and division, reduce the answer to have _____.

    the same number of significant digits as the number with the fewest number of significant digits

  • The entire number should be _____ to minimize rounding error.

    maintained throughout calculations

  • In multiplication, if one number is rounded up, the other should _____.

    be rounded down in proportion

  • In division, if one number is rounded up, the other should _____.

    also be rounded up in proportion

  • Exponents

    Exponents are a notation for repeated multiplication. They may be manipulated mathematically, especially when the bases are the same.

  • Logarithms

    Logarithms are the inverse of exponents and are subject to similar mathematical manipulations.

  • Natural logarithms, which use base _____ can be converted into common logarithms, which use base _____.

    e (Euler’s number)

    10

  • Trigonometric relationships can be calculated based on _____.

    the lengths of the sides of right triangles

  • Sine

    Sine is the ratio of the length of the side opposite an angle to the length of the hypotenuse.

  • Cosine

    Cosine is the ratio of the length of the side adjacent to an angle to the length of the hypotenuse.

  • Tangent

    Tangent is the ratio of the side opposite an angle to the side adjacent to it.

  • Inverse trigonometric functions

    Inverse trigonometric functions use the calculated value from a ratio of side lengths to calculate the angle of interest.

  • Direct relationships

    In direct relationships, as one variable increases, the other increases in proportion.

  • Inverse relationships

    In inverse relationships, as one variable increases, the other decreases in proportion.

  • Conversions between metric prefixes require _____.

    multiplication or division by corresponding powers of ten

  • Conversions between units of different scales require _____, and may require _____.

    multiplication or division

    addition or subtraction (e.g. Kelvin to Celsius to Fahrenheit)

  • Dimensional analysis

    Unit analysis (dimensional analysis) can determine the appropriate computation based on given information.

  • Algebraic systems may be solved by _____, _____, or _____. The general ideas are the same in each—solve for one variable, and then substitute the variable into an equation to solve for the other—although the specific methods are different.

    substitution, setting equations equal, or elimination