The problem ( 7 x 10x ) + ( 7 x 10y ) + ( 7 x 10z ) = 700070.07. Write down a possible set of values for x, y and z. ( 3 marks).
The solution Solution: First write the number on the right hand side 700070.07 in expanded form.700070.07 = 700000 + 70 + 0.07 =7 x 105 + 7 x 101 + 7 x 10-2 ( the above expanded form in standard form)Now compare these expanded form values with the equation given in question 7 x 10x = 7 x 105 ⇒x = 57 x 10y =7 x 101 ⇒y = 17 x 10z =7 x 10-2 ⇒z = -2
