part_n so_o that_o the_o unite_v will_v then_o be_v divide_v into_o 100_o equal_a part_n and_o if_o again_o we_o divide_v each_o of_o those_o hundred_o equal_a part_n into_o ten_o other_o equal_a part_n the_o unite_v or_o integer_fw-la will_v be_v divide_v into_o 1000_o equal_a part_n and_o so_o by_o decimate_a the_o first_o and_o subdecimate_a the_o second_o we_o proceed_v ad_fw-la infinitum_fw-la now_o because_o all_o the_o denominator_n of_o decimal_a fraction_n differ_v only_o in_o the_o number_n of_o place_n and_o not_o in_o the_o figure_n they_o be_v always_o a_o unite_v with_o cipher_n they_o may_v be_v express_v without_o their_o denominator_n with_o a_o point_n before_o they_o as_o 6_o 6_o 10_o be_v thus_o express_v .6_o and_o 54_o 54_o 100_o thus_o .54_o also_o 27_o 27_o 1000_o thus_o .027_o and_o observe_v that_o this_o point_n distinguish_v they_o from_o whole_a number_n hence_o the_o denominator_fw-la of_o a_o decimal_n fraction_n be_v easy_o know_v by_o the_o place_n of_o 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answer_n what_o be_v the_o sume_fw-la of_o 59.4_o &_o 8.796_o &_o 472.6_o &_o .142_o answer_n note_v that_o in._n over_o the_o precede_a and_o follow_v sum_n stand_v for_o integer_fw-la and_o pt_n for_o part_n substraction_n of_o decimal_n the_o operation_n here_o be_v in_o all_o respect_n like_v to_o that_o in_o vulgar_a substraction_n the_o main_a thing_n as_o in_o the_o last_o be_v only_o to_o see_v that_o they_o be_v right_o place_v which_o be_v do_v by_o the_o direction_n give_v in_o the_o forego_n rule_n of_o addition_n some_o example_n here_o you_o see_v we_o subtract_v as_o in_o common_a substraction_n only_o observe_v that_o where_o the_o decimal_n have_v not_o a_o equal_a number_n of_o place_n the_o vacance_n be_v supply_v with_o cipher_n or_o be_v understand_v so_o to_o be_v especial_o in_o the_o upper_a number_n more_o example_n from_o 15_o subtract_v 7.8_o answ_n 7.2_o from_o 1_o subtract_v .9872_o answ_n .0128_o from_o 58.6_o subtract_v 3.98625_o answ_n 54.61375_o 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that_o in_o the_o first_o quote_v there_o ought_v to_o be_v two_o place_n of_o decimal_n and_o in_o the_o second_o six_o of_o the_o like_a place_n which_o because_o there_o be_v but_o four_o i_o prefix_v two_o cipher_n on_o the_o left_a hand_n thereof_o which_o make_v it_o .004216_o some_o more_o example_n i_o have_v to_o these_o 4_o example_n set_v only_o the_o dividend_v prepare_v with_o their_o quotient_n true_o value_v the_o consideration_n of_o which_o with_o the_o precede_a direction_n i_o hope_v will_v be_v a_o sufficient_a light_n in_o all_o other_o case_n that_o can_v happen_v of_o the_o use_n of_o decimal_n to_o show_v the_o use_n of_o these_o number_n in_o all_o solution_n where_o they_o may_v be_v apply_v in_o expedit_v a_o operation_n will_v be_v endless_a they_o be_v of_o great_a use_n in_o most_o part_n of_o the_o mathematics_n but_o particular_o and_o principal_o in_o gauge_v survey_v and_o measure_v calculate_v the_o table_n of_o interest_n raise_v of_o logarithme_n 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