Class 6 Exam > Class 6 Notes > RD Sharma Solutions for Class 6 Mathematics > RD Sharma Solutions -Ex-7.8, Decimals, Class 6, Maths
Ex-7.8, Decimals, Class 6, Maths RD Sharma Solutions | RD Sharma Solutions for Class 6 Mathematics PDF Download
Question 1
Find the sum of the each of the following:
i) 102.360
+ 7.054
+0.800
= 110.214
ii) 0.060
+4.108
+91.500
= 95.668
iii) 312.800
+290.020
+128.457
= 731.277
iv) 113.285
+6.700
+9.340
+30.080
= 370.421
v) 18.0030
+41.7000
+10.9500
+5.0570
= 75.7100
Question 2
Add the following:
i) 41.80
+39.24
+5.01
+62.60
= 148.65
ii) 4.702
+4.200
+ 6.020
+ 1.270
= 16.192
iii) 18.030
+ 146.300
+ 0.829
+ 5.324
= 170.483
Question 3
Find the sum of each of the following:
i) 0.007
+8.500
+ 30.080
= 38.587
ii) 280.69
+25.20
+ 38.00
= 343.89
iii) 25.650
+9.005
+ 3.700
+ 38.355
= 38.355
iv) 27.076
+0.550
+ 0.004
= 27.630
Question 4
Radhika’s mother gave her Rs.10.50and her father gave her Rs.15.80 . find the total amount given to by her parents?
Ans.
Radhika’s mother gave her Rs 10.50
Radhika’s father gave her Rs 15.80
Total amount given to Radhika = ( 10.50+ 15.80)
= Rs 26.30
Question 5
Rahul bought 4 kg 60 g of grapes and 5 kg 300 g of mangoes. Find the weight of the fruits he bought in all?
Ans.
Weight of the apples = 4 kg 90 g = 4.090 kg
Weight grapes = 2 kg 60 g = 2.060 kg
Weight of mangoes = 5 kg 300 g = 5.300 kg
Therefore, the total weight of fruits bought by rahul = ( 4.090+ 2.060+ 5.300 ) kg
= 11.450 kg
The total weight of the fruits is 11.450 kg
Question 6
Nasreen bought 3m 20 cm cloth for her shirt and 2 m 5 cm cloth for her skirt .Find the total cloth bought by her ?
Ans.
Cloth for shirt = 3 m 20 cm = 3.20 m
Cloth for skirt = 2 m 50 m = 2.05 m
Total cloth bought by nasreen = ( 3.20+2.05) m
= 5.25 m
Total cloth bought by nasreen is 5.25 m
Question 7
Sunita travels 15 km 268 m by bus, 7 km 7 m by car and 500 m by foot in order to reach her school. How far is her school from her residence?
Ans 7.
Distance travelled by bus = 15 km 268 m = 15.268 km
Distance travelled by car = 7 km 7m = 7.007 km
Travel on foot = 500m = 0.500 km
Total distance travelled by sunita = (15.268+7.07+0.500) km
= 22.775 km
Therefore , the total distance covered by sunita is 22.775 km
The document Ex-7.8, Decimals, Class 6, Maths RD Sharma Solutions | RD Sharma Solutions for Class 6 Mathematics is a part of the Class 6 Course RD Sharma Solutions for Class 6 Mathematics.
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FAQs on Ex-7.8, Decimals, Class 6, Maths RD Sharma Solutions - RD Sharma Solutions for Class 6 Mathematics
| 1. What is the importance of learning decimals in mathematics? |  |
Ans. Learning decimals in mathematics is important because it helps us understand and work with numbers that are not whole. Decimals are used in various real-life situations such as money, measurements, and scientific calculations. It is important to have a strong foundation in decimals to solve complex mathematical problems accurately.
| 2. How do you compare and order decimals? | |
Ans. To compare and order decimals, we look at the place value of each digit. The digit in the leftmost place value is the most significant. Start comparing the digits from the left and move towards the right until you find the first digit that is different. The decimal with the greater digit at that place value is considered greater. If all the digits are the same, then the decimals are equal. To order decimals, arrange them from least to greatest or greatest to least based on the comparison.
| 3. How do you add and subtract decimals? | |
Ans. To add and subtract decimals, line up the decimal points of the numbers and add or subtract the digits in each place value column. If the numbers have a different number of decimal places, add zeros at the end to make them have the same number of decimal places. After performing the addition or subtraction, bring down the decimal point in the answer. It is important to line up the decimal points correctly to avoid errors.
| 4. Can decimals be represented as fractions? | |
Ans. Yes, decimals can be represented as fractions. To convert a decimal to a fraction, we write the decimal as the numerator and the place value of the rightmost digit as the denominator. Simplify the fraction if possible. For example, 0.5 can be written as 5/10, which simplifies to 1/2. Similarly, 0.75 can be written as 75/100, which simplifies to 3/4. Converting decimals to fractions can be useful in certain mathematical operations and comparisons.
| 5. How do you multiply and divide decimals? | |
Ans. To multiply decimals, ignore the decimal point and multiply the numbers as if they were whole numbers. Count the total number of decimal places in the original numbers and place the decimal point in the product accordingly. For example, if we multiply 2.5 and 0.4, we get 1. Multiply the whole numbers first (2 * 0 = 0), then multiply the decimal parts (5 * 4 = 20). The product is 1.0, which can be written as 1.
To divide decimals, we need to move the decimal point in the divisor and dividend to make the divisor a whole number. Move the decimal point in both numbers the same number of places until the divisor becomes a whole number. Perform the division as if it were a whole number division. The quotient will have the same number of decimal places as the dividend.
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