Chapter 002 Decimals True / False Questions Places to the left of the decimal point represent fractions True False Places to the right of the decimal point represent fractions True False A zero should always be placed to the left of the decimal point if there is no whole number True False 0.1006 < 0.01006 True False 0.0122 > 0.0012 True False 4.908 > 4.980 True False 53.256 > 53.254 True False To convert a fraction to a decimal, divide the denominator by the numerator True False 2-1 Chapter 002 Decimals To convert a fraction to a decimal, divide the numerator by the denominator True False 10 When rounding decimals, if the number to the right of the target place value is or less, the number in the target place value is not changed True False 11 If the number in the target place value is or more, the number can be rounded up one unit True False 12 When converting decimals to fractions, the place value of the number farthest to the right is the denominator True False 13 1.23 = 123/100 True False 14 45.60 = 45 6/100 True False 15 0.350 = 35/100 True False 16 When multiplying decimals, the total number of places in both numbers are counted and used to place the decimal point in the answer True False 2-2 Chapter 002 Decimals 17 When dividing decimals, the decimal point is ignored True False 18 A trailing is placed after the decimal when calculating medication dosages to help prevent medication errors True False 19 The more numbers to the right of the decimal point the smaller the value True False 20 When comparing decimals start with the whole number and work to the right until one number is greater than the other True False 21 When converting a fraction to decimal, consider the fraction as a multiplication problem True False 22 It is not necessary to align the decimal points when adding or subtracting decimals True False 23 When adding or subtracting decimals, if the decimals not have the same number of places, add zeros to the end so all the numbers have the same number of places True False 24 Prior to multiplying decimals, you should move the decimal point to the end of each decimal True False 2-3 Chapter 002 Decimals 25 When dividing decimals, move the decimals to the right the same number of places in both the divisor and dividend until the divisor is a whole number True False 26 4.53 x 6.4 = 289.92 True False 27 5.6 x 0.0002 = 0.00112 True False 28 2.34 0.6 = 3.9 True False 29 2.456 10 = 24.56 True False 30 254.5 4.56 = 558.11 (rounded to the nearest hundredth) True False Multiple Choice Questions 31 1000 x 22.7 = A 227 B 2270 C 22700 D 227000 2-4 Chapter 002 Decimals 32 6.5 100 = A 0.65 B 0.065 C 0.0065 D 0.00065 33 950.03 10 = A 95.003 B 9.5003 C 0.95003 D 0.095003 34 800.12 x 1000 = A 8.0012 B 8001.2 C 80012 D 800120 35 0.85 rounded to the nearest tenth is A 0.8 B 0.9 C 1.0 D 0.86 36 4.499 rounded to the nearest hundredth is A B 4.49 C 4.5 D 2-5 Chapter 002 Decimals 37 89.3233 rounded to the nearest thousandth is A 89.32 B 89.33 C 89.323 D 89.32414 38 6.35 rounded to the nearest tenth is A 6.38 B 6.39 C 6.4 D 6.3 39 10.6477 rounded to the nearest tenth is A 10.6 B 10.64 C 10.65 D 11.0 40 0.085 + 0.73 = A 8.15 B 0.00815 C 0.0815 D 0.815 41 Each position in a decimal number has a value A monetary B place C fraction D whole 2-6 Chapter 002 Decimals 42 A _ should be used as a placeholder to the left of the decimal point when there is no whole number A one B five C a place holder is not needed D zero 43 When comparing the value of decimals, the correct sequence is A whole number, hundredths, tenths, thousandths B ignore the whole number, compare tenths, hundredths, thousandths C whole number, tenths, hundredths, thousandths D thousandths, hundredths, tenths, whole number 44 Adding a zero to the last nonzero number after the decimal point A increases the whole number only B increases the value of the number C decreases the value of the whole number only D does not change the value of the number 45 When performing a calculation containing decimals, the answer is rounded when A it contains more than three numbers after the decimal point B it contains more decimal places than needed C it contains more than two numbers after the decimal point D an answer is never rounded 46 If a number to the right of the target place value is four or less, A the number in the target place value should be rounded up by one number B the number in the target place value should be rounded down by one number C the number in the target place value should not be changed D the number in the target place value should be rounded up by two numbers 2-7 Chapter 002 Decimals 47 4.99875 rounded to the nearest hundredth is A 5.0 B 4.10 C 4.99 D 5.91 48 In the conversion of fractions to decimals, the fraction should be thought of as a _problem A multiplication B division C addition D subtraction 49 When converting decimals to fractions or mixed numbers, the number to the left of the decimal point is A the numerator of the fraction B the whole number C the denominator of the fraction D not considered part of the fraction or mixed number 50 When adding or subtracting decimals, the decimal points A are aligned B should not be taken into consideration C are moved to the right in both numbers D are moved to the right in the smallest number 51 A bottle of liquid medication contains 100 mL Patients were administered doses in the amounts of: 5.75 mL, 4.2 mL, 6.25 mL, 7.45 mL, and 5.5 mL How much medication remains in the bottle? A 29.15 mL B 74 mL C 70.85 mL D 29 mL 2-8 Chapter 002 Decimals 52 A patient should receive 15 g of a medication You have one tablet containing 3.5 g and another containing 6.25 g How much more medication you need to administer the correct dose? A 75 g B g C g D 5.25 g 53 When multiplying decimals, you should A count the places to the right of the decimal point in the number you are multiplying by B count the total number of places to the left of the decimal point in both numbers C count the places to the left of the decimal point in the number you are multiplying by D count the total number of places to the right of the decimal point in both numbers 54 When dividing decimals, the _ must be converted to a whole number A divisor B dividend C quotient D answer 55 A patient is to receive ½ tablet four times daily The available tablets are mg How many milligrams of medication will the patient receive per day? A 2.5 mg B mg C 10 mg D mg 56 Mr Jones was to receive 2.25 mL of a liquid medication every hours How much medication will he receive for ½ days? A 13.5 mL B 47.25 mL C 40.5 mL D 50 mL 2-9 Chapter 002 Decimals 57 Mr Anderson received a total of 45.25 g of a medication over days He received doses per day How much medication per dose did he receive? (round to nearest hundredth) A 2.26 g B 2.30 g C 9.15 g D 9.20 g 58 Write the fraction in decimal form: 125/1000 A 61.25 B 0.6125 C 6.125 D 612.5 59 Mr Adams had $54.60 when he purchased gallons of antifreeze at $13.25 per gallon container How much money does he have left? A $26.50 B $28.10 C $1.60 D Nothing he is short 25 cents 60 Determine the answer rounded to nearest hundredth and convert to a fraction reduced to simplest form: 5.45 x 15.67 = A 85 4/10 B 85 40/100 C 85 41/100 D 85 2/5 Fill in the Blank Questions 61 Convert 20/10 to a decimal: 2-10 Chapter 002 Decimals Key 48 (p 42) In the conversion of fractions to decimals, the fraction should be thought of as a _problem A multiplication B division C addition D subtraction When converting fractions to decimals, think of the fractions as division problems Bloom's: Remembering Difficulty: Easy Learning Outcome: 2.3 Convert fractions into decimals 49 (p 43) When converting decimals to fractions or mixed numbers, the number to the left of the decimal point is A the numerator of the fraction B the whole number C the denominator of the fraction D not considered part of the fraction or mixed number When converting decimals to fractions or mixed numbers, the number to the left of the decimal point is the whole number Bloom's: Remembering Difficulty: Easy Learning Outcome: 2.4 Convert decimals into fractions 50 (p 45) When adding or subtracting decimals, the decimal points A are aligned B should not be taken into consideration C are moved to the right in both numbers D are moved to the right in the smallest number Decimal points are aligned when adding or subtracting decimals Bloom's: Remembering Difficulty: Easy Learning Outcome: 2.5 Add and subtract decimals 2-30 Chapter 002 Decimals Key 51 (p 45) A bottle of liquid medication contains 100 mL Patients were administered doses in the amounts of: 5.75 mL, 4.2 mL, 6.25 mL, 7.45 mL, and 5.5 mL How much medication remains in the bottle? A 29.15 mL B 74 mL C 70.85 mL D 29 mL The sum of the doses: 5.75 mL + 4.20 mL + 6.25 mL + 7.45 mL = 29.15 mL Remainder of medication in the bottle 100.00 mL – 29.15 = 70.85 mL Bloom's: Understanding Difficulty: Medium Learning Outcome: 2.5 Add and subtract decimals 52 (p 45) A patient should receive 15 g of a medication You have one tablet containing 3.5 g and another containing 6.25 g How much more medication you need to administer the correct dose? A 75 g B g C g D 5.25 g The sum of the medication available: 3.50 g + 6.25 g = 9.75 g The amount of medication needed: 15.00 g – 9.75 g = 5.25 g Bloom's: Understanding Difficulty: Medium Learning Outcome: 2.5 Add and subtract decimals 2-31 Chapter 002 Decimals Key 53 (p 47) When multiplying decimals, you should A count the places to the right of the decimal point in the number you are multiplying by B count the total number of places to the left of the decimal point in both numbers C count the places to the left of the decimal point in the number you are multiplying by D count the total number of places to the right of the decimal point in both numbers Count the total number of decimal places to the right of decimal places in both numbers when multiplying decimals Bloom's: Remembering Difficulty: Medium Learning Outcome: 2.6 Multiply decimals 54 (p 49) When dividing decimals, the _ must be converted to a whole number A divisor B dividend C quotient D answer The divisor must be converted to a whole number Bloom's: Remembering Difficulty: Easy Learning Outcome: 2.7 Divide decimals 55 (p 47, 49) A patient is to receive ½ tablet four times daily The available tablets are mg How many milligrams of medication will the patient receive per day? A 2.5 mg B mg C 10 mg D mg ½ of a mg tablet = 2.5 mg x times daily = 10 mg Bloom's: Understanding Difficulty: Medium Learning Outcome: 2.6 Multiply decimals Learning Outcome: 2.7 Divide decimals 2-32 Chapter 002 Decimals Key 56 (p 47) Mr Jones was to receive 2.25 mL of a liquid medication every hours How much medication will he receive for ½ days? A 13.5 mL B 47.25 mL C 40.5 mL D 50 mL The patient will receive doses per day (24 hrs/ hrs = 6).The amount of medication per day : 2.25 mL x = 13.5 mL per day The amount of medication over ½ days: ½ = 3.5 x 13.5 = 47.25 mL Bloom's: Understanding Difficulty: Hard Learning Outcome: 2.3 Convert fractions into decimals Learning Outcome: 2.6 Multiply decimals 57 (p 49) Mr Anderson received a total of 45.25 g of a medication over days He received doses per day How much medication per dose did he receive? (round to nearest hundredth) A 2.26 g B 2.30 g C 9.15 g D 9.20 g Method 1: The amount of medication per day: 45.25 g / day = 9.05 g per day The amount of medication per dose: 9.05 g per day / doses per day = 2.2625 = 2.26 g / dose Method 2: Total number of doses received: days x doses per day = 20 doses Amount of medication per dose: 24.25 g / 20 doses = 2.2625 = 2.26 g / dose Bloom's: Understanding Difficulty: Hard Learning Outcome: 2.2 Apply the rules for rounding decimals Learning Outcome: 2.7 Divide decimals 2-33 Chapter 002 Decimals Key 58 (p 42) Write the fraction in decimal form: 125/1000 A 61.25 B 0.6125 C 6.125 D 612.5 125 divided by 1000 = 0.125 so the decimal is 6.125 Bloom's: Applying Difficulty: Easy Learning Outcome: 2.3 Convert fractions into decimals 59 (p 45, 47) Mr Adams had $54.60 when he purchased gallons of antifreeze at $13.25 per gallon container How much money does he have left? A $26.50 B $28.10 C $1.60 D Nothing he is short 25 cents He is purchasing two 2-gallon containers: $13.25 a container x = $26.50 for containers The amount he has left after the purchase: $54.60 – 26.50 = $28.10 Bloom's: Understanding Difficulty: Hard Learning Outcome: 2.5 Add and subtract decimals Learning Outcome: 2.6 Multiply decimals 60 (p 43, 47) Determine the answer rounded to nearest hundredth and convert to a fraction reduced to simplest form: 5.45 x 15.67 = A 85 4/10 B 85 40/100 C 85 41/100 D 85 2/5 5.45 x 15.67 = 85.4015 = 85.40 to nearest hundredth 85.40 = 85 40/100 = 85 4/10 = 85 2/5 Bloom's: Applying Difficulty: Medium Learning Outcome: 2.4 Convert decimals into fractions Learning Outcome: 2.6 Multiply decimals 2-34 Chapter 002 Decimals Key Fill in the Blank Questions 61 (p 42) Convert 20/10 to a decimal: 2.0 20 10 = 2.0 Bloom's: Applying Difficulty: Easy Learning Outcome: 2.3 Convert fractions into decimals 62 (p 42) Convert 67/100 to a decimal: 0.67 100 67 = 0.67 Bloom's: Applying Difficulty: Easy Learning Outcome: 2.3 Convert fractions into decimals 63 (p 42) Convert 36/1000 to a decimal: 5.036 36/1000 = 5036/1000 = 5036 1000 = 5.036 Bloom's: Applying Difficulty: Easy Learning Outcome: 2.3 Convert fractions into decimals 64 (p 37) Place the symbol >, ,