Here we will learn adding and subtracting large decimals.
We have already learnt how to add and subtract smaller decimals. Now we will consider some examples involving larger decimals.
1. Add the following decimals:
(i) 5189.581 and 3289.793
(ii) 663987.98 and 22987.38
Solution:
We arrange the decimals in such a way so that the decimal points lie in the same column.
(i) Add: 5189.581 and 3289.793
= 5189.581 + 3289.793
5 1 8 9 . 5 8 1
+ 3 2 8 9 . 7 9 3
8 4 7 9 . 3 7 4
Answer: 8479.374
(ii) Add: 663987.98 and 22987.38
= 66398.98 + 22987.38
6 6 3 9 8 . 9 8
+ 2 2 9 8 7 . 3 8
8 9 3 8 6 . 3 6
Answer: 89386.36
2. Subtract the following.
(i) 4368.932 from 9614.596.
(ii) 23438.56 from 41249.82.
Solution:
We arrange the decimals properly and subtract as usual.
(i) Subtract: 4368.932 from 9614.596.
9 6 1 4 . 5 9 6
– 4 3 6 8 . 9 3 2
5 2 4 5 . 6 6 4
Answer: 5245.664
(ii) 23438.56 from 41249.82.
4 1 2 4 9 . 8 2
– 2 3 4 3 8 . 5 6
1 7 8 1 1 . 2 6
Answer: 17811.26
Worksheet on Adding and Subtracting Large Decimals
I. Find the sum of the following decimals:
(i) 6144.56 + 4223.18
(ii) 9826.452 + 6931.089
(iii) 5249.327 + 4326.735
(iv) 9181.051 + 5448.783
(v) 54238.67 + 34521.32
(vi) 73098.297 + 59387.63
(vii) 29938.43 + 43849.38
(viii) 67573.25 + 38254.97
(ix) 51125.03 + 46432.12
(x) 93256.62 + 45315.03
(xi) 88212.65 + 52430.82
(xii) 59419.25 + 43527.48
(xiii) 4942.392 + 2913.454 + 3876.342
(xiv) 41118.19 + 26219.20 + 38120.73
(xv) 26415.68 + 38115.06 + 52171.00
(xvi) 20328.214 + 18132.034 + 29432.124
Answer:
I. (i) 10367.74
(ii) 16757.541
(iii) 9576.062
(iv) 14629.834
(v) 88759.99
(vi) 132485.927
(vii) 73787.81
(viii) 105828.22
(ix) 97557.15
(x) 138571.65
(xi) 140643.47
(xii) 102946.73
(xiii) 11732.188
(xiv) 105458.12
(xv) 116701.74
(xvi) 67892.372
II. Arrange the following decimals in columns and add.
(i) 1461.038 + 3815.791
(ii) 8323.194 + 2495.368
(iii) 7129.831 + 3415.07
(iv) 9532.007 + 3849.124
(v) 43489.26 + 29987.38
(vi) 84973.94 + 27688.38
(vii) 3014.809 + 2410.025 + 4126.847
(viii) 4954.681 + 4328.38 + 2948.38
(ix) 9315.531 + 6415.231 + 9128.975
(x) 4312.95 + 29342.63 + 27113.62
(xi) 4212.986 + 19745.65 + 36278.91
(xii) 12955.38 + 43295.09 + 26388.73
Answer:
II. (i) 5276.829
(ii) 10818.562
(iii) 10544.901
(iv) 13381.131
(v) 73476.64
(vi) 112662.32
(vii) 9551.681
(viii) 12231.441
(ix) 24859.737
(x) 60769.20
(xi) 60237.546
(xii) 82639.20
III. Find the difference of the following decimals:
(i) 97289.95 – 59123.62
(ii) 83425.48 – 18219.29
(iii) 69450.97 – 48199.52
(iv) 56952.86 – 49480.59
(v) 73284.26 – 59949.28
(vi) 68920.80 – 39459.35
(vii) 59954.46 – 36428.28
(viii) 69802.58 – 48347.38
(ix) 70892.50 – 59416.24
(x) 79783.09 – 48894.39
(xi) 94398.98 – 56689.89
(xii) 55438.38 – 49849.49
Answer:
III. (i) 38166.33
(ii) 65206.19
(iii) 21251.45
(iv) 7472.27
(v) 13334.98
(vi) 29461.45
(vii) 23526.18
(viii) 21455.2
(ix) 11476.26
(x) 30888.70
(xi) 37709.09
(xii) 5588.89
IV. Subtract the following decimals:
(i) 2438.29 from 87438.41
(ii) 8938.69 from 9043.26
(iii) 38439.16 from 49699.28
(iv) 12643.24 from 23198.89
(v) 78432.68 from 80438.2
(vi) 68246.09 from 89438.38
(vii) 45653.268 from 87928.57
(viii) 69224.72 from 92430.44
(ix) 28126.59 from 80620.37
(x) 33143.62 from 54834.82
(xi) 68737.88 from 88343.31
(xii) 57527.42 from 68943.62
Answer:
IV. (i) 85000.12
(ii) 104.57
(iii) 11260.12
(iv) 10555.65
(v) 2005.52
(vi) 21192.29
(vii) 42275.302
(viii) 23205.72
(ix) 52493.78
(x) 21691.2
(xi) 19605.43
(xii) 11416.2
V. Solve the following Word Problems on Adding and Subtracting Large Decimals.
(i) Two huge containers of sugar contain 4219.754 kg and 3818.736 kg of sugar respectively. Find the total weight of the sugar.
(ii) James sold 14529.72 m cloth on Saturday and 12219.83 m on Sunday. How much cloth did he sell in all?
(iii) Three pieces of 3029.75 m, 4117.52 m and 2248.63 m are cut from a rope. Find its total length.
(iv) Richard bought a bicycle for ₹ 3849.26, a suit for ₹ 4818.30 and some sarees for ₹ 5111.80. How much did he spend?
(v) Matthew had ₹ 32439.96 and Anthony had ₹ 22198 46. Mark had ₹ 1998.36 less than the sum of the money that Matthew and Anthony had. How much did Mark have?
(vi) George gave ₹ 31221.48 to Ashley and ₹ 19428.32 to Emily. The remaining money was given to his mother. If George had ₹ 60000, how much did he give to his mother?
Answer:
V. (i) 8038.49 kg
(ii) 26749.55
(iii) 9395.85 m
(iv) ₹ 13779.36
(v) ₹ 52640.06
(vi) ₹ 9350.20
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