Name. Procedures for adding feet and inches

Transcription

1 Name # Procedures for adding feet and inches. Line up columns 2. Find lowest common denominator of fractional parts if necessary. Add fractional parts first, then move to the left, adding each column as you go 4. Reduce your answer if possible 5. Put feet and inch marks in answer as they were in the problem Example: 2 = feet 4 inches = 6 feet 4 inches = feet inches = feet 0 4 inches 9 ¾ 9 feet ¾ inches Note: feet and inches written in symbols have a small dash (--) separating them: - 2 is feet 2 inches: 2 4 is 2 feet 4 inches always use this mark to separate feet and inches when written with symbols Things to remember:. When fractional parts become more than a whole, add the whole number on to the inches example: = reduces to 9 2. When there are feet and inches in the problem and the inches add up to 2, change the 2 inches into a foot and add it on to the feet. Use a zero in the inches column. example: = reduces to When there are feet and inches in a problem and the inches add up to more than 2, change 2 inches into foot and add it on to the feet. Repeat if necessary. example: 2 + = 5-4 which reduces to = reduces to These problems are often written across (see above) rather than in columns practice doing them across to save time rewriting them. 5. If the problem has yards, feet and inches, remember that there are feet in a yard, and reduce your answer in the feet column accordingly

2 Adding Inches and Feet Answer in inches ) 6 4 2) 5 8 ) ) Answer in feet and inches 5) ft. 6 in. 6) 2-5 ) 4-2 8) 5 ft. in. + 2 ft. in ft. 4 in. 9) ) ) ft. 5 2 in. 2) " + 5 ft. 4 8 in ) ft. 9 in. 4) -0 5) 9-9 6) 2 ft. 8 in. + 8 ft. 4 in ft. in. ) 8-8 8) ) ) ft. 4 in ft. 8 in. 5 2) 2 ft. 5 4 in. 22) ) ft. 8 in. 24) ft. 4 in in

3 Procedures for subtracting feet and inches. Line up columns 2. Start from the right and move to the left, subtracting as you go.. Find lowest common denominator of fractional parts if necessary: 6 4 = Borrow if necessary a. If you need more fractional parts, borrow whole inch from the inches and change it into the necessary fraction; add to what you already had: 6 2 = = = 4 = b. If you need more inches, borrow whole foot from the feet and change it into 2 inches; add to what you already had: 2-6 = = c. If you need more feet, borrow whole yard from the yards and change it into feet; add to what you already had: 5. Reduce if possible 6. Put inch and feet (and other) marks in answer Things to remember: 5 yards 4 feet 8 inches = 4 yards feet 8 inches -- yards 6 feet 2 inches = yards 6 feet 2 inches yard foot 6 inches. There are 2 inches in a foot 2. There are feet in a yard. Subtraction problems are often written across the page rather than in columns practice doing them this way instead of re-writing them

4 Subtracting Inches and Feet Answer in inches ) 9 2 2) 2 6 ) 8 4) ) 6 6) 29 8 ) 6 4 8) Answer in feet and inches 9) ft. 6 in. 0) 9 - ) 4 ft. 8 in. 2) ft. 5 in ft. 6 in ) ft. 6 2 in. 4) ) ft. 9 4 in. 6) ft. 4 4 in ft. 8 in ) - 8) 2 ft. in. 9) ) 8 ft. 9 in ft. 5 in ft. in. 5 2) ) ) ) 6 ft. 8 in ft. 4 in. 25) 25 ft. 2 in. 26) ) ft. 9 4 in. 28) ft. 8 4 in ft. 0 8 in

5 Procedures for changing feet and inches into equal units To change inches into feet, divide by 2 (there are 2 inches in one foot) example: 24 inches =??? feet 2 feet 2) 24 inches ) 48 inches = feet 5) 08 inches = feet 2) 2 inches = feet 6) 84 inches = feet ) 44 inches = feet ) 20 inches = feet inches = feet 8) 60 inches = feet If there is a remainder, state it as inches example: 96 inches =??? feet??? inches feet 2) 96 2_ inches 9) inches = feet inches 4) 228 inches = ft. in. 0) inches = feet inches 5) 289 inches = ft. in..) 5 inches = feet inches 6) 545 inches = ft. in. 2) 0 inches = feet inches ) 09 inches = ft. in. ) 60 inches = feet inches 8) inches = ft. in 5

6 To change feet into inches, multiply by 2 (one foot equals 2 inches) example: feet =??? inches feet x 2 inches in a foot = 6 ft. = 6 in. ) 5 feet = inches 6) 6 feet = inches 2) feet = inches ) 8 feet = inches ) 9 feet = inches 8) 0 feet = inches 4) feet = inches 9) 6 feet = inches 5) feet = inches 0) 2 feet = inches If there were inches in the original problem, add them on example: feet 6 inches =??? inches x 2 = 6, so feet equals 6 inches plus 6 inches equals 42 ) ft. in. = inches 8) 5 ft. in. = inches 2) 2 ft. 2 in. = inches 9) 8 ft. 9 in. = inches 4) ft. in. = inches 20) 9 ft. 4 in. = inches 5) 4 ft. 0 in. = inches 2) 6 ft. 6 in. = inches 6) ft. in. = inches 22) 2 ft. in. = inches ) ft. in. = inches 2) 4 ft. 9 in. = inches 8) 0 ft. 5 in. = inches 24) ft. 2 in. = inches OR inches may be stated as fractions or decimal parts of a foot 6 inches = 6_inches 6 = 6 in. = ½ or.5 2 inches in a foot 2= 2 25) inches equals one fourth of a foot: may be written as or. 26) inches equals three fourths of a foot: may be written as or. 2) inches equals one third of a foot; may be written as or. 28) inches equals two thirds of a foot: may be written as or. 6

7 Procedures for multiplying feet and inches. Change feet and inches into equal units 2. Multiply - 6 x - becomes 2 x 4 or.5 x.25 or 42 x 9. Remember to put feet, square feet, inches or square inches where necessary in your answer. Feet times feet equals square feet Inches times inches equals square inches Feet times any number just equals more feet: 6 x 0 = 60 Inches times any number just equals more inches: x = 9 4. If you wish to convert your answer into the same units used in the problem, see the sheet labeled CONVERSIONS. 5. Shortcut for multiplying feet and inches by whole numbers: multiply each separately. Example: 5 - x 2 = 0-6 ( 5 x 2 = 0 x 2 = 6 ) Procedures for dividing feet and inches. Change feet and inches into equal units, if necessary. ( feet 4 inches =.' or 40" or ') 2. Divide (SC) If the problem is to divide by 2, you may be able to do this without changing the units. Example: 0 feet 5 inches divided by 2 0 feet 5 inches divided divided by by 2 2 is is 5 feet 2 2 inches. Determine if feet and inch marks are necessary: if so, use them. If you divided feet by feet, or inches by inches, the answer is a number (followed by a word) Example: a 20 foot length of pipe divided into 2 foot sections equals 0 sections, not feet!! 0 2 foot ) 20 foot length pipe

8 But, if you divided feet (or inches) by a number, the answer will be in feet (or inches) Example : 50 feet 2 )00 feet 8

9 Multiplication problems (All answers should be in square units) Work and answer each problem ways: a) in inches b) in feet and fractional parts of a foot c) in feet and decimal parts of a foot ) 2 - X 2 = 2) - 6 X 2 = c. c. ) 4 9 X 5 6 = 4) - X 6-0 = c. c. 5) 4 X 4-0 = 6) 6-8 X 4-0 = c. c. Multiplying feet and inches by whole numbers (Answer in regular feet and inches) ) 2-8 X 2 = ' - " (SC) 8) 6 - X = ' - " (SC) c. c. 9) 5-2 X 4 = ' - (SC) 0) - X 5 = ' X " c. c 9

10 Division problems Dividing feet and inches by whole numbers Work and answer each problem ways: a. in inches b. in feet and fractions of a foot c. in feet and decimal parts of a foot 5) 2-8 divided by 4 = 6) divided by 2 = c. c. ) 6-9 divided by = 8) 54-6 divided by 6 = c. c. Dividing feet and inches by feet and inches (answer in numbers only) ) 2-9 divided by - = 2) 2-9 divided by 9 - = c. c. ) 8-9 divided by - 6 = 4) 0-0 divided by 2-6 = c. c. 0

11 Word problems. Jackie has concrete blocks that are 6 inches tall. How many does she need to make one stack 5' - 6" high? 2. Tamika cut 6 8 " from a strip of drywall 4 ' in length. How long is the piece that is left?. Carol has six bricks, each 8 4 " long. Laid end-to-end, how far would they extend? 4. Evita cuts 2x4s the following lengths: 4 2 length of the wood she cut? ", 6 4 ", 8 8 ' & 9 6 ". What is the total 5. How many panels 2' - 6" wide can Phyllis fit into a space 0'- 0 " wide? " of material is missing from a 5 " piece of cast iron pipe. How much remains?. Yolanda wants to put two windows directly on top of each other. One is 4' - 8 " 5 high and the other is 2' " high. How high must the opening be? 8. How many square inches are there in an opening measuring 4 2 " by 4"? 9. From a piece of conduit ' - " long, Mariel cut off 2' 2 ". How much was left? 0. How many bricks does Jackie need to build one course of a wall 5' - 5 " long if each brick (including mortar) measures 8 2 " long?. How much plastic will Prudence have to buy to cover an opening 5 ' long by 4 ' wide? (work this as a fraction problem or round up the answer to the nearest foot) 2. Vanessa needs three pieces of wood ' 0 4 " long and two pieces 5 2 " long for her planter box. What is the total length of the wood she needs? Extra effort:. Tammy needs 9' - 2" of wood. She has one piece that is 4' 2 2 " long and another that is 2' ". How much more does she need?

12 Feet and Inches review (answer in feet and inches, not decimals) 5 ) '- 4 " + '- 2 " = 2) '- 6 " -- 2'-5 6 " = 5 ) 6'-9 8 " -- 4'-8 6 " = 4) '- 2 " = 5) '-8" x 2 = 6) 6'-5" 2 = ) '- 4" x 2 = 8) 8'- " 2 = 9 9) 9'-5 8 " 0) '-0" ) 9'- 6 " 2) 2'- 0 2 " 8'- 2 " 6'- 6 8 " 4'-0 4 " '- 4 " 5 ) 8'- 9" 4) 2'-6 2 " 5) 2'-2 8 " 6) 5'-0 6 " 2'- 4 2 " 6'- 4 " 4 " 8 5 " '- 8 " 2'-2 6 " '- 6 " '-4 6 " + 6'-0 4 " + 8'-0 " + 4 " + '-0" 5 ) 5'- 2 " + 2'-0 4 " = 8) 6'-" = 9) '-9 6 " 8 4 " = 20) 9'-4 " x 4 = 2) 2" 2 " = 22) 2 " 2 " = 2) 2 ' 8 = 24) 2 " 2 4 " = 25) 8 " x 8" = 26) 5 4 " + 2' + 8 " + '-0 6 " = Word problems: 2) Renee trims 2 4 " from a piece of sheet metal 6 foot long. How much is left? 28) Find the difference in height between a wall 2' " and one 6' ". 2

13 29) Suzette stacks plywood that is 4 ' thick, 2 " thick and two 4 stack? " pieces. How tall is the 0) Combine 2 " with 8 4 " and 2 2 ". What is the total? ) Find the amount of lumber needed for 2 shelves that are each 5 2 feet long. 2) How much carpet is needed to cover the floor of a closet 2 4 ' long by 4 2 ' wide? ) You evenly split a 4 " thick chocolate bar between you and three friends. How thick is each piece? 4) Louellen shaves 6 " slivers from a /2" bar of pig iron. How many will she get? Extra Challenge: 5) '-9" '-8 " 5 4 = 6) 90' '-6" = ) 6'- 4 " 4 8 " = 8) 48' '-4" = 9) 2'-8 2 " x 6 ' = 40) yard + 6'- 4 " x.25 =

14 Answer key Page 2 Page 2 cont. Page 4 cont. ) 8 24) 28-22) - 4 2) 2 2 Page 4 2) ) 25 4 ) 4 24) 5 ft. 8 4) 4 2) ) ft. 4 5) ft. 9 in. ) ) ) ) 8 2) 5 ft. 8 5 ) 8-2 5) 6 28) 2-6 8) 4 ft. in. 6) 20 4 Page 5 9) ) 2 2 ) 4 0) ) 8 8 2) ) 8 ft ) ft. in. ) 2 2) ) -5 4) 5 ) 2 ft. in. ) ft. 2 in 5) 9. 4) ) 8-8 6) 5) 5-4 ) -2 4 ) 0 6) 9 ft. in. 4) - 8 8) 5 ) ) ) ft. in. 8) ) 2-6 0) 6 ft. in. 9) ) 4-6 ) ft. in. 20) ft ) 4 ft. 8 in. 2) 9 ft. 2 in. 2) 0 ft ) 4-6 ) ft. 4 in. 22) ) 0 ft. 0 in. 4) 9 ft. 0 in. 5 2) ft. 4 2) ) 24 ft. in. 4

15 Page 5 Cont. Page 6 Cont. Page 9 Cont. 6) 45 ft. 5 in. 9) 05 5) a. 68 sq. ) 86 ft, in 20) 2 b. 5 sq. ft. 8) 98 ft. in. 2) 8 c. 5. sq. ft. Page 6 22) 4 6) a. 840 sq. in. 2 ) 60 2) b. 26 sq. ft. 2) 84 24) 58 c sq. ) 08 25) 4 4) 2 26) 9 4 5) 56 2) 4 2 6) 2 28) 8.25 ) a. 04 in.. b. 25 ft..666 c. 25. ft. ) 96 Page 9 8) 8-8) 20 ) a. 29 sq. in. a. 29 in. 9) 92 b. 5 6 sq. ft. b. 8 4 ft. 0) 44 c sq c ft. ( ) ) 2 2) a. 42 sq. in. 9) ) 26 b. sq. ft. a. 248 in. ) 4 c. sq. ft. b ft. 4) 58 ) a. 62 sq. in. c (8) ft. 5) 8 b sq. 0) 6-6) c sq. ft. a) 5 in. ) 25 4) a sq. b) 6 4 ft. 8) 6 b. 9 2 sq. ft. c. 9.5 sq. ft. c) 6.25 ft. 5

16 Page 0 ) 2 ft. in. Page 2 and 2 ) a. or.92 a. 2 ) b. b ) c..92 c ) ) a. 8) 9-4) 9 - b. a. 09 5) - 4 c. b. 9 2 ) a. 2 2 b ) c ) 6-8 Page 8) c. 2.5 ) blocks 9) 9 8 4) a. 4 2) 4 8 or ) b. 4 ) 52 2 or ) c. 4 4) ) 0-4 5) - 2 5) 4 panels ) 2-0 a ) ) b. 6 ) ) 29-8 c..66 8) 20 square inches 6) ) 25 ft. 2 in. 9) 4-2 ) - 4 a ) 50 bricks 8) 2 - b ) 20 square feet 9) - 6 c ) ) - 4 ) 2-4 2) 6 6

17 Pages 2 and Cont. 22) 2) 24 or 2 24) 50 25) sq. in. 5 26) ) ) ) 4 tall ) 2 2 or - 2 ) 68 ft. 2) 2 8 sq. ft. ) 6 thick 4) 8 slivers 5) 2 6 6)2 ) ) 6 9) 65 sq. in. 40) - 6