Addition and Subtraction of Decimals - 3P Learning

1 Addition and Subtraction of DecimalsGRADE 5 WORKSHEETSG rade 5 | Addition AND Subtraction OF Decimals | 3P LearningWhen we add and subtract Decimals we follow the same rules we use when working with whole numbers. We need to make sure we line up the place values and the decimal points:Adding and subtracting decimals123 Bart finished his race in a time of sec. Lisa finished in sec. How much faster was Bart?HT O433 17226131 Estimate and solve these Subtraction problems. Remember to put the decimal point into your answers:aTOTbTOTcTOTdTOT84390876397 323 532 204 323e:e:e:e:Estimate and solve these Addition problems.

2 Remember to put the decimal point into your answers:aTOTbTOTcTOTdTOT541323484278+313 +581+413+393e:e:e:e:e:e:e:e:eTOT H fTOTHgTOTH hTOTH521745153893241+3592+1405+1214+1933 Grade 5 | Addition AND Subtraction OF Decimals | 3P LearningYou bought the following. Find the difference between the discount price and regular price for each item, then calculate your total savings. Show all your work:4 Was $ $ $_____Was $ $ $_____Was $ $ $_____Was $ $ $_____Was $ $ $_____Was $ $ $_____Total savings: _____Adding and subtracting decimalsGrade 5 | Addition AND Subtraction OF Decimals | 3P Learning5 Practice your Subtraction of Decimals with these 6 Solve these money problems using a strategy of choice:a You have $ The total of the groceries is $ How much change will you get after you pay for your groceries?

3 B How much will you save if you buy an item on sale that was $ and is now $ Hugo s total grocery bill before subtracting his coupons was $ If he had $ in coupons, what was his final bill?d Your mom gives you $ to go to the bakery to buy pastries. You buy 3 items at the bakery for a total cost of $ You have a discount coupon worth $ How much change will you get back?Adding and subtracting decimalsGrade 5 | Addition AND Subtraction OF Decimals | 3P LearningAdding and subtracting decimalsAbdul bought three magazines for $ , $ , and $ How much did he spend altogether?

4 Estimate and solve these Subtraction problems. Remember to put the decimal point into your we add and subtract Decimals , we follow the same rules we use when working with whole numbers. We need to make sure we line up the place values and the decimal 181723093111e:e:e:d988e669f811 793 399 732e:e:e:a846b918c911 427 736 802 Estimate and solve these Addition problems. Remember to put the decimal point into your :e:e:e:a6416b8496c9862d3166+1717+1239+19 38+1769123 Grade 5 | Addition AND Subtraction OF Decimals | 3P LearningFind the perimeter of each shape. Shapes are not drawn to scale.

5 Use the split strategy to help you:When adding Decimals , it is helpful if you are able to quickly identify pairs that add together to give a whole number. In each grid below, look for 4 pairs that add to give a whole number and color in the squares. Pairs are next to each other vertically, horizontally, or it is easier to split both numbers. Look at how we do this with + We split the numbers into whole numbers and We then rearrange the problem, adding the whole numbers and Decimals We add the 2 answers. 21 . 2 + 3 . 8 = (21 + 3) + ( + ) = 24 + 1 = 25++ these problems using the split strategy.

6 Make notes as you go:Mental strategies split strategy with decimalsa + = b + = c + = inP:Grade 5 | Addition AND Subtraction OF Decimals | 3P Learninga = b = c + = Use the split strategy to solve these money problems:a The table tennis set costs $ at the store down the road. If Gillian buys it here for $ , how much does she save?b Sanjay saved $ to buy the baseball set. How much of his savings remain after buying the set?c If she had a coupon for a $ discount, how much did Katya pay for the boxing gloves?

7 5 Table tennis $ $ $ these problems using the split strategy. Make notes as you go:Mental strategies split strategy with decimalsWe can use the same process to subtract Decimals :1 We split the numbers into whole numbers and We then rearrange the problem, subtracting the whole numbers and Decimals We add the 2 answers. 31 . 4 2 . 3 = (31 2) + ( ) = 29 + = Grade 5 | Addition AND Subtraction OF Decimals | 3P LearningUse the jump strategy to add the Decimals :a +.

8 + .. = ..b + .. + .. = ..c + .. + .. = ..Mental strategies jump strategy with decimals12 Use the jump strategy to answer the following:a You win a spitball competition, beating your nearest competitor, Spitball Steve, by ft. Your mother would be so proud. If Spitball Steve spat ft, how far did you shoot?b After weeks of practice, Spitball Steve perfects his technique and beats your previous winning shot by ft. How far does he spit?The jump strategy is also useful when adding Decimals . Look at how we do this with + :1 First we jump up by the whole Then we jump up by the + = +1+1+ 5 | Addition AND Subtraction OF Decimals | 3P LearningWork out what the missing number is on each set of balanced scales.

9 Use the jump the jump strategy to subtract these Decimals . Break up the second number in your head:a 36 .. = ..b 51 .. = ..c 68 .. = ..We can also subtract Decimals using the jump at how we do this with 52 First we jump back by the whole Then we jump back by the use Subtraction to find the missing numbers. 36 = ? strategies jump strategy with Decimals 1 that is made up of 2 and You need to subtract both 5 | Addition AND Subtraction OF Decimals | 3P LearningMental strategies compensation strategy with decimalsFollow these steps for the compensation strategy when adding Decimals :1 Round the number closest to a whole Compensate for rounding.

10 + + 6 I rounded up by , + + 8 I rounded down by , = which means I = + which means I did not = added extra, so I = add enough, so I need need to subtract to add the steps of these compensation strategies to add these Decimals : a + = b + = + 3 + 3 _____ = _____ _____ = _____c + = d + = + 2 + 1 _____ = _____ _____ = _____Follow these steps for the compensation strategy when subtracting Decimals :1 Round the number closest to the whole Compensate for rounding: 4 We rounded up by , 8 We rounded down by , = + which means we = which means we did not = subtracted extra, so = subtract enough, so we need to add we need to subtract the steps of these compensation strategies to subtract the Decimals .