ࡱ> .0-U (bjbjnn HHaa( vvvvvd$) 2222/)1)1)1)1)1)1)$Z+.^U)v'|U)vv22j)v2v2/)/)V'@+(2]4+' ))0)'Tn.+Nn.+(+(n.v(PU)U)y^)n.B <: 5.1 & 5.2 Study Guide Fractions and Decimals Learning Goals 5.1 given a decimal through thousandths, round to the nearest whole number, tenth, or hundredth. 5.2 - a) recognize and name fractions in their equivalent decimal form and vice versa; and b) compare and order fractions and decimals in a given set from least to greatest and greatest to least. Vocabulary  Place value the value a digit represents depending on its place in the number Example: the digit 6 represents the hundredths place Value how much a digit is worth according to its place in a number Example: the value of the 6 is 0.06 (six hundredths) Digit there are 10 digits: - 0 , 1, 2, 3, 4, 5, 6, 7, 8, and 9 Rounding reducing the digits in a number while trying to keep the value similar Comparing seeing whether two numbers are greater than, less than, or equal to each other Whole Number the counting numbers plus zero (0, 1, 2, 3, 4) Greater than - > Less than - < Equal to - = Practice at Home Rounding decimals: Underline the place that you are rounding to. Look to the place to the right to determine if you should round up or down.  Example: 5.829 rounded to the nearest whole (ones): 5.829 = 6  rounded to the tenths place 5.829 = 5.8  rounded to the hundredths place 5.829 = 5.83 Converting fractions to decimals: Some fractions are easy to remember.  EMBED Equation.3  = 0.50 or 0.5  EMBED Equation.3  = 0.25  EMBED Equation.3  = 0.20 or 0.2  EMBED Equation.3  0.1 Other fractions can be converted to decimals by looking at the fraction as a division equation. Students may use a calculator to perform these equations.  EMBED Equation.3  = 0.33 (repeating decimal)  EMBED Equation.3  = 0.125 Ordering fractions and decimals: First convert all of the fractions to decimals. Line them up vertically to compare them. Determine the correct order (least to greatest or greatest to least).  EMBED Equation.3 , 0.56,  EMBED Equation.3 ,  EMBED Equation.3 = 0.50 least to greatest:  EMBED Equation.3 ,  EMBED Equation.3 , 0.56 0.56 = 0.56  EMBED Equation.3  = 0.375 greatest to least: 0.56,  EMBED Equation.3 ,  EMBED Equation.3  Sample Questions 1 Round 5.693 to the nearest whole. A 5 B 5.7 C 5.69 D 6 2. Which decimal is equal to  EMBED Equation.3 ? A 0.8 B 0.45 C 0.08 D 0.045 3. Which set of numbers is ordered from least to greatest?  EMBED Equation.3 ,  EMBED Equation.3 ,  EMBED Equation.3 , 0.35 A  EMBED Equation.3 ,  EMBED Equation.3 ,  EMBED Equation.3 , 0.35 B  EMBED Equation.3 ,  EMBED Equation.3 , 0.35,  EMBED Equation.3  C  EMBED Equation.3 ,  EMBED Equation.3 , 0.35,  EMBED Equation.3  D  EMBED Equation.3 , 0.35,  EMBED Equation.3 ,  EMBED Equation.3  4. Which statement below is true? A 25.34 > 25.6 B 25.34 < 25.021 C 25.34 < 25.314 D 25.34 > 25.334 5. When rounded to the nearest tenth, which of the decimal numbers below rounds to 546.7? A 546.772 B 546.64 C 546.681 D 546.75 6. Which set of decimals is in order from greatest to least? 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