SECTION 9.3 REAL NUMBERS AND DECIMALS . 215 b) Without doing any further division, find the decimal expansion of 3/19. Explain your reasoning. a) Fill in the blanks posing of the = c) Compute 1/19 on your calculator. Does it appear to repeat? 101 + 200 2200 10101 + = 20000 220000 7. (Mental Math) Use the facts 0.01 = , and 0.001 = 999 101010101 -E to mentally convert these decimals to fractions. + 200000000 b) Use a calculator to write the last fraction above as a decimal. Guess the repetend. a) 0.03 b) 0.324 c) Next, write as a repeating decimal. C) 5.32 d) 0.983 H 101 10101 101010101 d) Write 200' as finite 20000' and 200000000 decimals. e) Add your answers to (c) and (d) to find the decimal 8. Finding patterns is a useful way to guess an answer, but it expression for the last fraction in part (a). What is can be misleading. the repetend? Was you guess in (b) correct