[Applause] math 6 quarter 1 week four milk base let's learn about problem solving involving addition and subtraction of decimal numbers lesson [Music] two hello kids it's me teacher F don't forget forg get to subscribe like and share and hit the notification Bell for the latest video you can also follow my Facebook page Teacher frel [Music] TV for today's lesson in math 6 we will discuss about problem solving involving addition and subtraction of decimal numbers we are now in lesson two of week four for most essential learning competencies soles one or more steps routine and non-routine problems involving addition and or subtraction of decimals and mixed decimals using appropriate problem solving strategies and tools after going through this lesson you are expected to solve one or more steps routine and non-routine problem s involving addition and or subtraction of decimals and mixed decimals using appropriate problem solving strategies and tools in solving problems you need to understand first the given problem and plan for which operations to use you may draw an illustration to help you visualize your plan then sove and check and now let's do our first activ ity learning task one refer to the table below of liquid and its weight answer the questions that follows write your answer in your notebook so we have here the table of different liquids and their pounds per gallon first question how heavy is 4 gallons of kerosene per gallon of kerosene is 6 and 664 th000 so we will go going to add 4 of 6 and 664 th000 4 + 4 + 4 + 4 = 16 carry up 1 1 + 6 + 6 + 6 + 6 = 25 carry up 2 2 + 6 + 6 + 6 + 6 = 26 carry up 2 2 + 6 + 6 + 6 + 6 = 20 6 so 4 gallons of kerosene is 26 and 656 lb you can also multiply 6 and 664 th000 by four to get the answer second question how much more does a gallon of sea waterer weigh than a gallon of drinking water the gallon of sea water weigh 8 and 5800 and the gallon of drinking water weigh 8 and 3300 lb per gallon 8 and 5800 minus 8 and 3300s 8 - 3 = 5 5 - 3 = 2 then write the decimal point 8 - 8 equal 0 so the answer for this question is 2500 lb third question which is heavier 1 gallon of oil which is is 7 and 497 th000 or 2 gallons of gasoline so per gallon of gasoline is 5 and 664 th000 if we add another gallon 5 and 664 th000 + 5 and 664 th000 the result is 11 and 328,000 so the 2 gallons of gasoline has 11 and 328,000 pound so the question is which is heavier the heavier is the gasoline so another question is how much heavier 2 gallons of gasoline is 11 and 328,000 we will subtract per gallon of oil which is 7 and 497 th000 so 8 - 7 = 1 2 - 9 cannot B borrow 1 from 3 3 becomes 2 and 2 becomes 12 12 - 9 = 3 then 2 - 4 cannot be B one from 1 1 becomes zero and 2 becomes 12 12 - 4 = 8 then write the decimal point then 0 - 7 cannot be Barrow one from 1 1 becomes 0 and 0 becomes 10 10 - 7 = three no need to bring down zero so the gallons of gasoline is three and 831000 much heavier than the gallon of oil and now let's proceed to learning task two solving word problems involving addition and or subtraction of decimal and mixed decimal numbers with or without regrouping use four step in solving word problems do this in your note notebook number one in a sale a microwave cost 2,999 pesos 99 centavos its price has been reduced by 500 pesos what was its price before the sale first step is to understand so what is as in the problem the price of the microwave before the sale and what are the given facts so the given facts are 2,999 pesos and 99 centavos and 500 pesos for the second step is to plan what operation to be used so the operation to be used is addition and now write the number sentence the number sentence is 2,999 pesos and99 centavos plus 500 pesos = n third step is to solve so let's add 2,99 9 pesos and 99 centavos + 500 pesos equal 9 + 0 = 9 9 + 0 = 9 then write the decimal point 9 + 0 = 9 9 + 0 = 9 9 + 5 = 14 carry up 1 and 1 + 2 = 3 so the price before the sale is 3,499 pesos and99 centavos the fourth step is to check check if the answer is correct you will going to subtract 3,499 pesos 99 centavos minus 500 pesos equal 2,999 pesos and99 centavos number two Mr Lon has a 15 hectare banana plantation and a 12 and 8,567 hectare sugar cane plantation how much bigger is the banana plantation than the sugar cane plantation so first step is to understand what is as in the problem the difference in size between the banana plantation and sugar cane plantation what are the given facts 15 hectare and 12 and 8,567 10,000s second step is to plan what operation to be used the operation to be used is subtraction then write the number sentence the number sentence is 15 - 12 and 8567 10,000 = n the third step is to solve 15 - 12 and 8,567 10,000 equal 2 and 1,433 10,000s so the the banana plantation is 2 and 1,433 10,000 much bigger than the sugar cane plantation last step is to check check if your answer is correct just add 12 and 8,567 10,000 + 2 and 1,433 10,000 equals 15 number three Mangan has five hect ties of land he sold 2 and 725 10,000 hectares to his neighbor how many hectares of land does he own now first step is to understand what is as in the problem so the total land area left to Mangan what are the given facts the given facts are 5 hectar and two and 725 10,000s next step is to plan what operation to be used the operation to be used is subtraction then write the number sentence 5 minus 2 and 725 10,000 equal n third step is to solve 5 - 2 and 725 10,000 equals 2 and 9,275 10,000 to check if your answer is correct add 2 and 9,275 10 10,000 + 2 and 725 10,000 equal 5 5 hectares of land for learning Tas three show four steps in solving word problems understand plan solve and check write your answer in your notebook number one miss apolinar had 11,235 pesos 85 centavos Savings in the bank she withdrew 800 50 pesos on Tuesday and another 1,35 pesos on Friday how much was her balance on her savings first step is to understand what is as in the problem the total balance left on her savings what are the given facts so the given facts are 11,235 P85 centavos 850 pesos and 135 pesos second step is to plan what operation to be used the operation to be used is subtraction and addition then write the number sentence 11,235 pesos 85 centavos minus open and close parentheses 850 pesos plus 135 pesos third step is to so add 135 pesos + 850 pesos equal 0 + 0 = 0 0 + 0 = 0 5 + 0 = 5 then write the decimal point 3 + 5 = 8 0 + 8 = 8 bring down 1 the answer is 1,885 pesos now subtract 11,235 pesos and 85 centavos minus 1,885 pesos equal = 5 - 0 = 5 8 - 0 = 8 5 - 5 = 0 write the decimal point 3 - 8 cannot be Barrow 1 from 2 2 becomes 1 and 3 becomes 13 13 - 8 = 5 1 - 8 cannot be Barrow one from 1 1 becomes zero and 1 becomes 11 11 - 8 = 3 then 0 - 1 can that b bar one from 1 1 becomes 0 and 0 becomes 10 10 - 1 = 9 so her balance left is 9,350 pesos 85 centavos to check if the answer is correct add 9,350 P85 centavos plus 1,885 pesos equals 11,235 pesos and8 5 centavos number two Tommy is buying materials for his school portfolio the store selling supplies such as clear book for 149 pesos and99 centavos a pack of colored paper for 132 pesos 75 centavos and accessories for 50 pesos 25 centavos so for letter A what would be the total if she buys one clear book two packs of colored paper and accessories first is to understand what is as in the problem the total amount paid for the items she buys what are the given facts the given facts are 149 pesos and99 centavos 132 pesos 75 centavos and 50 pesos and 25 centavos next is to plan what operation to be used the operation to be used is addition write the number sentence 149 pesos 99 centavos plus 132 pesos 75 centavos plus another 132 pesos 75 centavos plus 50 pesos and 25 centavos equal n now solve so the answer is 465 pesos and 75 centavos for letter B how much would be her change if she pays 500 pesos at the cashier so to understand what is as the change she received from the cash what are the given facts 149 pesos and99 centavos 132 pesos and 75 centavos 50 pesos and 25 centavos and 500 pesos next is to plan what operation to be used subtraction write the number sentence 500 pesos minus the total 465 pesos 75 centavos equal n next is to solve the change is 34 pesos 25 centavos to check the answer add 34 pesos 25 centavos plus 465 pesos 75 centavos the answer is 500 Pesos solving problems with decimals is like solving applied problems in the previous chapter we need to understand first the given problem and plan for which operations to use to solve word problems use the first step in solving word problems first is to understand second is to plan third is to solve and fourth is to check now let's proceed to our last activity Learning task four choose the letter of the best answer write the chosen letter in your notebook number one when you add the decimal numbers 2500s 33,000 and 1 and 7800s the result is a 263,000 b 263 10,000 c 63,000 d 2 and 2,63 10,000s if you add the three decimal numbers the answer is let letter d 2 and 2,63 10,000s number two what is the difference when 43 and 6700s is subtracted from 125 and 510 is it a 81 and 8300s B 81 and 1700s C 81 and 8700s or D 81 and 5700s so the the answer is letter B number two Nathan lean and Abby went to school Clinic to find out their weights Nathan's weight is 28 and 5800 kilg lean's weight is 30 and 5500 kilg and aby's weight is 25 and 4800 kg what is the total weight of the triup is it a 84 and 6100 kg B 84 and 1600 kg C 59 and 1300 kg or D 54 and 600 kilog very good the answer is letter a 84 and 6100 kilg number four Neil spend 24 pesos 85 centavos for sandwich and 11 pesos and2 centavos for juice how much change did receive if he gave the vendor 100 pesos it a 63 pesos and5 centavos B 63 pesos 95 centavos C 73 pesos and 5 centavos or D 73 pesos 995 centavos so to get the answer add first 24 pesos and 85 centavos plus 11 pesos and 20 centavos the then subtract the sum to 100 so the answer is letter B the change is 63 pesos 95 centavos and number five at 6:00 in the morning the temperature was 23 and 8° C at 12:00 noon the temperature Rose by 5 and 7° C what was the temperature at 12:00 noon to get the answer you will going to add 23 and 810 + 5 and 710 is it a 29 and 510° C B 18 and 110° C C 33 and 510° cus and D 35 and 510° C so what was the temperature at 12 noon very good the answer is letter A so the temperature Rose at 29 and 510° C so kids are your all answers correct wow good job kids I hope you learn a lot from this lesson until our next topic bye-bye kids thanks for watching [Music]