Exercise: 5-D
Q1: Add:
i. 27.6, 8.93, 0.759, 9.6
Step: Add numbers in column format:
27.600 + 8.930 + 0.759 + 9.600 -------- 46.889
Answer: 46.889
ii. 0.83, 8.07, 17.9, 294.678
Step: Add numbers in column format:
0.830 + 8.070 + 17.900 +294.678 -------- 321.478
Answer: 321.478
iii. 0.53, 7.07, 77.7, 0.835
Step: Add numbers in column format:
0.530 + 7.070 + 77.700 + 0.835 -------- 86.135
Answer: 86.135
iv. 9.38, 3.895, 109.5, 72.87, 0.005
Step: Add numbers in column format:
9.380 + 3.895 +109.500 + 72.870 + 0.005 -------- 195.650
Answer: 195.65
v. 9.008, 27.689, 247.96, 39.8
Step: Add numbers in column format:
9.008 + 27.689 +247.960 + 39.800 -------- 324.457
Answer: 324.457
vi. 325.7, 98.079, 0.87, 236.68
Step: Add numbers in column format:
325.700 + 98.079 + 0.870 +236.680 -------- 661.329
Answer: 661.329
Q2: Find the difference:
i. \(17.05 – 9.78\)
17.05 - 9.78 ------ 7.27
Answer: 7.27
ii. \(30.23 – 17.495\)
30.230 -17.495 ------- 12.735
Answer: 12.735
iii. \(107.5 – 58.69\)
107.500 -58.690 ------- 48.810
Answer: 48.81
iv. \(60 – 18.35\)
60.00 -18.35 ------ 41.65
Answer: 41.65
v. \(48.3 – 29.571\)
48.300 -29.571 ------- 18.729
Answer: 18.729
vi. \(100 – 72.745\)
100.000 -72.745 ------- 27.255
Answer: 27.255
vii. \(215.4 – 69.845\)
215.400 -69.845 ------- 145.555
Answer: 145.555
viii. \(1.5 – 0.703\)
1.500 -0.703 ------ 0.797
Answer: 0.797
ix. \(42 – 0.764\)
42.000 -0.764 ------ 41.236
Answer: 41.236
Q3: Simplify:
i. \(74.8 + 68.79 – 47.609 – 7.08\)
Step 1: Add \(74.8 + 68.79 = 143.59\)
Step 2: Subtract \(143.59 – 47.609 = 95.981\)
Step 3: Subtract \(95.981 – 7.08 = 88.901\)
74.800 +68.790 ------- 143.590 -47.609 ------- 95.981 -7.080 -------- 88.901
Answer: 88.901
ii. \(68.3 – 102.735 + 217.96 – 37.7\)
Step 1: \(68.3 – 102.735 = -34.435\)
Step 2: \(-34.435 + 217.96 = 183.525\)
Step 3: \(183.525 – 37.7 = 145.825\)
68.300 -102.735 -------- -34.435 +217.960 -------- 183.525 -37.700 -------- 145.825
Answer: 145.825
iii. \(203.5 – 43.76 – 9.89 – 13.086\)
Step 1: \(203.5 – 43.76 = 159.74\)
Step 2: \(159.74 – 9.89 = 149.85\)
Step 3: \(149.85 – 13.086 = 136.764\)
203.500 -43.760 -------- 159.740 -9.890 -------- 149.850 -13.086 -------- 136.764
Answer: 136.764
iv. \(77.7 – 7.555 – 5.77\)
Step 1: \(77.7 – 7.555 = 70.145\)
Step 2: \(70.145 – 5.77 = 64.375\)
77.700 -7.555 -------- 70.145 -5.770 -------- 64.375
Answer: 64.375
Q4: What is to be added to 73.6 to get 91.03?
Step 1: Let the number to be added be \(x\).
Then,
\(73.6 + x = 91.03\)
Step 2: Subtract 73.6 from 91.03 to find \(x\):
91.030 -73.600 ------- 17.430
Answer: 17.43
Q5: What is to be subtracted from 6.1 to get 0.785?
Step 1: Let the number to be subtracted be \(x\).
Then,
\( 6.1 – x = 0.785\)
Step 2: Rearranging:
\( x = 6.1 – 0.785 \)
Step 3: Subtract:
6.100 -0.785 ------- 5.315
Answer: 5.315
Q6: By how much should 32.987 be increased to get 60?
Step 1: Let the number to be added be \(x\).
Then,
\(32.987 + x = 60\)
Step 2: Rearranging to find \(x\):
\(x = 60 – 32.987\)
Step 3: Perform the subtraction:
60.000 -32.987 -------- 27.013
Answer: 27.013
Q7: By how much should 72.5 be decreased to get 18.76?
Step 1: Let the number to be subtracted be \(x\).
Then,
\(72.5 – x = 18.76\)
Step 2: Rearranging the equation to find \(x\):
\(x = 72.5 – 18.76\)
Step 3: Perform the subtraction:
72.500 -18.760 -------- 53.740
Answer: 53.74
Q8: The sum of two numbers is 34.02. If one of the numbers is 16.268, find the other.
Step 1: Let the other number be \(x\).
Then,
\(x + 16.268 = 34.02\)
Step 2: Rearranging the equation:
\(x = 34.02 – 16.268\)
Step 3: Perform the subtraction:
34.020 -16.268 -------- 17.752
Answer: 17.752
Q9: Sajal bought a geometry box for ₹139.75 and an exercise book for ₹59.60 from a book shop. He gave a 500-rupee note to the shopkeeper. What amount did he get back?
Step 1: Total cost of items:
139.75 + 59.60 ------- 199.35
Step 2: Subtract total cost from ₹500:
500.00 -199.35 -------- 300.65
Answer: ₹300.65
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