Unit 2: Fractions, Decimals, Percents, and Scientific Notation HOMEWORK Page 25 Unit 2 Fraction, Decimal, Percent, and Scientific Notation (Calculators will NOT be used) Homework SOL 7.1 - The student will: a) Investigate and describe the concept of negative exponents for powers of ten; b) Determine scientific notation for numbers greater than zero; c) Compare and order fractions, decimals, percents and numbers written in scientific notation Unit 2: Fractions, Decimals, Percents, and Scientific Notation HOMEWORK Page 26 Unit 2: Fractions, Decimals, Percents, and Scientific Notation HOMEWORK Page 27 Fractions Decimals Percents Homework Convert the following fractions to decimals: 1 2 3 3 8 1) 4) 2) 5) 3 5 2 3 1 3 4 4 5 3) 6) Convert the following decimals to a percent: 7) 0.38 8) 0.16 9) 4.45 10) 11) 12) 2.39 0.54 Complete the Table # Fraction 1 13) 2 100 Decimal 4.12 Percent 7 50 14) 15) 3 1 8 Directions: Compare the following using > , < , or = 16) 0.15 1 17) 5 1 3 4 0.75 Order the following numbers 2 18) Order from least to greatest: 0.42 , 4.2 , 5 __________________________________________ 1 ________________________________________ 1 _______________________________________ 19) Order from greatest to least: 3 3 , 3.34 , 300 20) Order from greatest to least: 9 3, 0.925 , 9.3 My score is _________/20 Unit 2: Fractions, Decimals, Percents, and Scientific Notation HOMEWORK Page 28 Unit 2: Fractions, Decimals, Percents, and Scientific Notation HOMEWORK Page 29 FDP Mixed Conversions Homework Convert the following fractions to a decimal: 1) 1 2) 1 2 3 3) 5 Convert the following decimals to a percent: 4) 0.38 5) 0.16 3 4 6) 4.45 Convert the following percents to a decimal: 7) 45% 8) 50% 9) 5% Convert the following decimals to a fraction (and simplify): 10) 0.25 11) 0.7 Complete and fill in each blank box: # Fractions 12) 0.15 Decimals 13) 25% 14) 15) 16) 0.4 1 20 6% 17) 18) Percent 2.04 2 1 3 19) Internet access in the U.S.has increased dramatically in recent years. If 110 out of every 200 households had Internet access, what percent of households had Internet access? 1 20) Order from greatest to least: 2 4, 0.25 , 2.5% _______________________________________ My score is _________/20 Unit 2: Fractions, Decimals, Percents, and Scientific Notation HOMEWORK Page 30 Unit 2: Fractions, Decimals, Percents, and Scientific Notation HOMEWORK Page 31 Scientific Notation Homework Write the numbers in scientific notations. 1) 98,000 2) 0.0004 3) 0.0056 4) 0.0000451 5) 0.0089 6) 158 7) 0.07345 8) 0.3 9) 0.896 10) 9 × 10−2 11) 4.2 × 104 12) 8.3 × 10−2 16) 7.25 × 10−4 17) 8.1 × 10−4 18) 4.083 × 109 Write the numbers in standard form. 14) 2.3 × 10−1 13) 9.02 × 107 Compare using ˃, ˂, or = 15) 6.032 × 105 19) 3.5 × 10−4 ____ 2.1 × 10−6 ; 20) 1.9 × 10−9 ____ 5.3 × 10−9 21) 2.3 × 105 ____ 2.3 × 10−7; 22) 6.279 × 105 ____ 1.8 × 107 23) The table lists the populations of five countries. List the countries from least to greatest population. Country Australia Brazil Egypt Luxemburg Singapore 24) Put the following in ascending order 0.23 , 2.3 x 103 , 2.30% , 1 5 __________________________________________ 25) Put the following in descending order 8.01 x 102 , 5.45 x 10-1 , 1 2 , 3.79 ________________________________________ My score is _________/25 Population 2.0 × 107 1.9 × 108 7.7 × 107 4.7 × 105 4.4 × 106 Unit 2: Fractions, Decimals, Percents, and Scientific Notation HOMEWORK Page 32 Unit 2: Fractions, Decimals, Percents, and Scientific Notation HOMEWORK Page 33 Scientific Notation & Powers of 10 Homework Write the following as a fraction and a decimal. 1) 104 2) 10-1 3) 103 4) 10-3 5) 105 6) 10-2 7) 100 8) 10-5 9) 101 Complete the Table Exponential # Form 10) Fractions Multiplied Together Decimal 10-4 11) 10,000,000 10 12) 13) 1 102 x 10 1 x 10 1 x 10 1 x 10 1 14) 0.000000001 1 15) 10 x 16) Put the following in ascending order 1 10 x 1 10 x 1 10 x 1 10 x 1 x 1 10 10 0.017 x 103 , 1.7% , 0 , 1.7 x 10-4 , 10-3 ____________________________________________ 17) Put the following in descending order 8.01 x 102 , 10-1 , 105 , 1 2 , 3.79 ________________________________________________ My score is _________/17 Unit 2: Fractions, Decimals, Percents, and Scientific Notation HOMEWORK Page 34 Unit 2: Fractions, Decimals, Percents, and Scientific Notation HOMEWORK Page 35 FDP, Scientific Notation, & Powers of 10 Test Study Guide Scientific Notation & Standard Form STANDARD FORM The LONG form of the number 4,200,000 SCIENTIFIC NOTATION = 4.2 x 10 6 The decimal must be between 1 and 10 The exponent is the number of SWOOPS the decimal point moves. (Positive moves right; Negative moves left) Write in Standard Form 1) 6.125 x 10-8 2) 1.32 x 104 3) 1.2 x 106 4) 2.004 x 10-5 Write in Scientific Notation 5) 1,030,000 6) 0.000000578 7) 198,000,000 8) 0.42 Complete the Table # Standard Form 3.1 x 105 9) 10) 134,500 7.3512 x 10-7 11) 12) 13) Scientific Notation 0.0065 2 x 108 Unit 2: Fractions, Decimals, Percents, and Scientific Notation HOMEWORK Page 36 14) Powers of 10 • Remember that a power of 10 is the number 10 multiplied by itself a certain number of times. Examples: Exponential Form Fraction 10 1 101 10 1 10 10-1 Complete the Table Exponential # Form 15) Decimal 0.1 Fractions Multiplied Together Decimal 10-2 16) 1,000,000 1 17) 18) 10 107 x 1 10 x 1 10 x 1 10 19) 0.0001 10 20) 1 Complete the FDP Graphic Organizer F x 10 1 x 10 1 x 10 1 x 10 1 D x 10 1 x 10 1 P Unit 2: Fractions, Decimals, Percents, and Scientific Notation HOMEWORK Page 37 *FRACTIONS DECIMALS PERCENTS* Changing a FRACTION/MIXED NUMBER into a PERCENT: 1) Change the fraction into a decimal by changing it into an improper fraction, if necessary, and dividing the numerator by the denominator. 2) Multiply the decimal by 100 to make a percent. Hint: moving the decimal point TWO places to the RIGHT is the same as multiplying the decimal by 100. **Mixed numbers will result in percentages over 100** 73 73÷100 = 0.73 = 73% 100 *PERCENTS DECIMALS FRACTIONS* Changing a PERCENT into a FRACTION/MIXED NUMBER: 1) Change the percent into a decimal first. Remember, we “swoop” to the LEFT two times! 2) Then identify the place value of the right-most digit and place the number over that place value. (The numbers to the left of the decimal stay the whole number; numbers to the right make the numerators) 3) Simplify the fraction. 12.5% = 0.125 = 125 5 1 ÷ 25 = ÷5 = 1000 8 40 45% = 0.45 = 45 9 ÷5 = 100 20 Convert the fractions to percents. 19 21) 25 1 22) 8 3 23) 4 9 24) 10 27) 0.004 28) 0.53 31) 180% 32) 24.5% Convert the decimals to fractions. 25) 0.375 26) 2.3 Convert the percents to fractions. 29) 45% 30) 2.3% Unit 2: Fractions, Decimals, Percents, and Scientific Notation HOMEWORK Page 38 Compare using ˃, ˂, or = 33) 1.8 37) 180% 34) 1 1 2 125% Order the following from least to greatest: 0.0145 x 102, 73 , 1.456, 10.5% , 10-2 50 Complete the following word problems: 39) There are 25 students in math class. Yesterday, 6 students were absent. What percent of the students were absent? 41) Lathy received $0.54 in change. Express this as a fraction of a dollar. 35) 2 3 70% 36) 45 45% 38) Order the following from greatest to least: 47.5% , 0.03457 x 10-3 , 11 , 4.456 25 40) Albert spends 2 hours per day working on his homework and an hour playing video games. What percent of the day does he spend playing video games and working on his homework? 42) Ragu ran the first 3 miles of a 5 mile race in 24 minutes. What percent of the race has he run? Don’t Forget to Check your Homework Online! My score is _________/42 Unit 2: Fractions, Decimals, Percents, and Scientific Notation HOMEWORK Page 39 Unit 2: Fractions, Decimals, Percents, and Scientific Notation HOMEWORK Page 40 Unit 2: Fractions, Decimals, Percents, and Scientific Notation HOMEWORK Page 41 Unit 2: Fractions, Decimals, Percents, and Scientific Notation HOMEWORK Page 42

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