Rational Numbers and Algebra

• = 10/10 0 = 10/10 -2 = -20/10 -5/6 = -20/24

Rational numbers can be found between any two given rational numbers = Countless rational numbers can be found between two rational numbers -2 can be written as -20/10 = Conversion of rational numbers to equivalent forms 0 can be written as 0/10 = Conversion of rational numbers to equivalent forms Countless rational numbers can be found between -2 and 0 = Rational numbers can be found between any two given rational numbers

• = -10 0 = 0 -5/6 = -20 -2 = -20

<ul> <li>= 10 0 = 10 -5/6 = 24 -2 = 10</li> </ul> Signup and view all the answers

<p>-5/6 = -20/24 -2 = -20/10 0 = 0/10</p> <ul> <li>= -10/10</li> </ul> Signup and view all the answers

<p>Countless rational numbers can be found between -5/6 and 5/8 = Rational numbers can be found between any two given rational numbers -5/6 can be written as -20/24 = Conversion of rational numbers to equivalent forms 5/8 can be written as 15/24 = Conversion of rational numbers to equivalent forms -20/24 and 15/24 are equivalent forms = Conversion of rational numbers to equivalent forms</p> Signup and view all the answers

<p>Rational numbers = Can be found between any two given rational numbers -5/6 = Can be written in equivalent forms 0 = Can be written in equivalent forms</p> <ul> <li>= Can be written in equivalent forms</li> </ul> Signup and view all the answers

<p>Rational numbers = Can be written in the form a/b where a and b are integers -5/6 = Has a denominator of 6 0 = Has a numerator of 0</p> <ul> <li>= Has a numerator of -10</li> </ul> Signup and view all the answers

<p>2 3 5 3 1 = 1/14 − 3 2 3 1 2 = 2/35</p> Signup and view all the answers

<p>2 3 5 3 1 = Commutativity − 3 2 3 1 2 = Distributivity</p> Signup and view all the answers

<p>8 = -8 -5 = 5 2 = -2 9 = -9</p> Signup and view all the answers

<p>11 = True -13 = True 15 = False -17 = True</p> Signup and view all the answers

<p>8 = 1/8 -5 = -1/5 2 = 1/2 19 = 1/19</p> Signup and view all the answers

<p>2 3 5 3 1 = 2 3/5 1 3/5</p> <ul> <li>3 2 3 1 2 = -3 2/5 1 3/5</li> </ul> Signup and view all the answers

<ul> <li>3 2 3 1 2 = 2/35 2 3 5 3 1 = 1/14</li> </ul> Signup and view all the answers

<p>2 3 5 3 1 = Multiplication first, then division</p> <ul> <li>3 2 3 1 2 = Division first, then multiplication</li> </ul> Signup and view all the answers

<p>Commutative = Multiplication Not commutative = Subtraction</p> Signup and view all the answers

<p>Addition = a + b = b + a Subtraction = a - b ≠ b - a Multiplication = a × b = b × a Division = a ÷ b ≠ b ÷ a</p> Signup and view all the answers

<p>$\frac{-3}{8} + \frac{1}{7}$ = $\frac{1}{7} + \frac{-3}{8}$ $\frac{2}{5} - \frac{3}{4}$ = $\frac{3}{4} - \frac{2}{5}$ $\frac{-7}{6} × \frac{-4}{5}$ = $\frac{-4}{5} × \frac{-7}{6}$ $\frac{-5}{3} ÷ \frac{4}{7}$ = $\frac{4}{7} ÷ \frac{-5}{3}$</p> Signup and view all the answers

<p>Addition = Always commutative Subtraction = Never commutative Multiplication = Always commutative Division = Never commutative</p> Signup and view all the answers

<p>a + b = b + a = Addition a - b ≠ b - a = Subtraction a × b = b × a = Multiplication a ÷ b ≠ b ÷ a = Division</p> Signup and view all the answers

<p>Addition = $\frac{-3}{8} + \frac{1}{7}$ Subtraction = $\frac{2}{5} - \frac{3}{4}$ Multiplication = $\frac{-7}{6} × \frac{-4}{5}$ Division = $\frac{-5}{3} ÷ \frac{4}{7}$</p> Signup and view all the answers

<p>Addition = Commutative property holds Subtraction = Commutative property does not hold Multiplication = Commutative property holds Division = Commutative property does not hold</p> Signup and view all the answers

<p>Addition = Equal result Subtraction = Not equal result Multiplication = Equal result Division = Not equal result</p> Signup and view all the answers