Class 5 Decimal Numbers
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1 ID : in-5-decimal-numbers [1] Class 5 Decimal Numbers For more such worksheets visit Answer the questions (1) A corner shop sells liters of orange juice on Wednesday and liters more than this quantity on Thursday. In total, how many liters of orange juice did they sell? (2) A snail crawls 43 cm in 28 minutes. It crawls another 77 cm in 51 minutes. How many metres does it crawl in total? (3) How is the number fifty-two and forty-five hundredths written in decimal form? (4) What do you get when you add the following decimals: 314 and 67.43? (5) What is the place 1000 times smaller than the Tens place called? (6) Sulekha drove km to visit her grandmother. When she reached her grandmother's house she noticed that the car had used up 4.26 liters of petrol. How many kilometers did she travel per liter of petrol? (7) Pradip bought the following things from his first salary: A music system for Rs Pairs of shoes for Rs An air conditioner for Rs If his salary is Rs , how much money is he left with after all the shopping? (8) What number do you get by adding 93 Ten Thousands to 36 Tenths? (9) Each bag of oranges weighs 2.14 kg. If the total weight of a sack containing bags of oranges is kg, then how many bags are there in the sack? (10) What do you get when you subtract the sum of and from ? (11) If the following figure represents 0.14, what is the result of the given problem? (12) What do you get when you divide by 62.5? (13) What do you get when you add the following decimals: , 70.51, and 0.55? (14) Write the number five hundredths in decimal form.
2 Choose correct answer(s) from the given choices ID : in-5-decimal-numbers [2] (15) Solve the following: A) = a b c d C) = a b c d B) = a b c d D) = a b c d Edugain ( All Rights Reserved Many more such worksheets can be generated at
3 Answers ID : in-5-decimal-numbers [3] (1) Quantity of orange juice sold on Wednesday = liters Quantity of orange juice sold on the next day (i.e. Thursday) = = liters Total quantity of orange juice sold in two days = = liters (2) 1.2 m. The total distance (in cm) the snail crawls: 43 cm + 77 cm = 120 cm Now, let us convert the distance 120 cm (centimetres) into meters. We know that: 100 cm = 1 m Therefore, 120 cm = 120 m = 1.2 m 100 Hence, the snail crawls 1.2 m in total. (3) 52.45
4 (4) ID : in-5-decimal-numbers [4] Decimals with the same number of decimal places are called Like Decimals. The numbers given here are therefore Like Decimals. In order to add the given Like Decimals, let us arrange the digits according to their place value, i.e., one below the other to make sure that the decimals are also placed exactly below each other. In this manner, we will place the ones digit below the ones, the tenths digit below the tenths,and so on. We should remember that the decimal point in the answer should be placed at the same place as in the addends. Let us add the numbers, digit by digit, starting from the hundredths and carry over, if needed: Thousands Hundreds Tens Ones. Tenth Hundredth Step 5 Hence, when we add the decimals 314 and 67.43, we get
5 (5) The Hundredths Place ID : in-5-decimal-numbers [5] In order to find the place value which is 1000 times smaller than the Tens place, let us divide 10 by 1000: 10 = Let us see what is the place of 1 in the number 0.01: Thousands Ones Tenths Hundredths Thousandths Ten thousandths TTH TH H T O. (1/10) (1/100) (1/1000) (1/10000) Legend: TTH - Ten Thousands, TH - Thousands, H - Hundreds, T - Tens, O - Ones. We see that 1 is placed in the Hundredths place. Therefore, the place 1000 times smaller than the Tens place is called the Hundredths place. (6) 16.3 Distance traveled by Sulekha to reach her grandmother's house = km Quantity of fuel used during the journey = 4.26 liters In order to calculate the distance traveled by the car per liter of petrol, we need to divide the total distance traveled in km by the quantity of petrol used in liters. On calculating the above, we get: = 16.3 km/liter Step 5 Hence, the car covered a distance of 16.3 kilometres per liter of petrol (mileage of the car).
6 (7) Rs ID : in-5-decimal-numbers [6] Amount received by Pradip as his salary = Rs Let us add the money spent by Pradip: Ten Thousands Thousands Hundreds Tens Ones. Tenth Hundredth A music system Pairs of shoes An air conditioner Total Expense Hence, Pradip's total expense is Rs In order to find the amount left with Pradip, let us subtract his total expense from his salary : Amount left with Pradip = Pradip's salary - Pradip's total expense = = (Writing in decimal form so that the two numbers are Like Decimals) Now, let us subtract from by placing the digits of the two decimal numbers according to their place values: Ten Thousands Thousands Hundreds Tens Ones. Tenth Hundredth Step 5 Hence, Pradip is left with Rs after all his shopping.
7 (8) ID : in-5-decimal-numbers [7] First, let us convert the number names into numerals as below: 93 Ten Thousands = = Tenths = = 3.6 Let us now add the two numbers: Lakhs Thousands Ones Tenths Hundredths Thousandths Ten thousandths TL L TTH TH H T O. (1/10) (1/100) (1/1000) (1/10000) Total Legend: TL - Ten Lakhs, L - Lakhs, TTH - Ten Thousands, TH - Thousands, H - Hundreds, T - Tens, O - Ones. Thus, 93 Ten Thousands + 36 Tenths = (9) 46 The weight of each bag of oranges = 2.14 kg Total weight of bags of oranges in the sack = kg Number of bags of oranges in the sack = = 46 bags Hence, there are 46 bags in the sack.
8 (10) 59.7 ID : in-5-decimal-numbers [8] Let us first find the sum of the like Decimal numbers and Decimals with the same number of decimal places are called like Decimals. Let us add starting from the hundredths place and carry over, if needed. We should keep in mind that the decimal point in the answer will be placed at the same place as in the addends: Ten Thousands Thousands Hundreds Tens Ones. Tenth Hundredth Let us now subtract the sum from by placing the digits of these two like Fractions according to their place values: Ten Thousands Thousands Hundreds Tens Ones. Tenth Hundredth Hence, when we subtract the sum of and from , we get 59.7.
9 (11) 0.27 ID : in-5-decimal-numbers [9] If we look at the figure, we notice that, there are a total of 100 boxes. 14 of 100 represents Therefore, 1 of 100 represents = 1 = The difference of the boxes in the given figures = = 27 Hence, 27 of 100 represents = 27 = Thus, the result of is 0.27.
10 (12) 4.2 ID : in-5-decimal-numbers [10] In order to divide the given decimal numbers, let us first convert the divisor into a whole number by multiplying the dividend and the divisor by 10. We have: = = Let us now divide by 625: Dividend Divisor 625 ) ( 4 Quotient Remainder 125 Hence, on dividing by 62.5, we get 4.2.
11 (13) ID : in-5-decimal-numbers [11] Decimals with the same number of decimal places are called Like Decimals. The numbers given here are therefore Like Decimals. In order to add the given Like Decimals, let us arrange the digits according to their place value, i.e., one below the other to make sure that the decimals are also placed correctly. In this manner, we will place the ones digit below the ones, the tenths digit below the tenths,and so on. We should remember that the decimal point in the answer should be placed at the same place as in the addends. Let us add the numbers, digit by digit, starting from the hundredths and carry over, if needed: Thousands Hundreds Tens Ones. Tenth Hundredth Step 5 Hence, when we add the decimals , 70.51, and 0.55, we get (14) 0.05 Let us first write the given number name as a fraction: Converting the fraction into a decimal number, we get: = 0.05
12 (15) A) d ID : in-5-decimal-numbers [12] Given, = We have to subtract from Therefore, = B) a Given, = Let us assume the missing number be x. Therefore, x = or x = Now, we have to add and Therefore, x = Thus, = 71.14
13 C) c ID : in-5-decimal-numbers [13] Given, = Let us assume the missing number be x. Therefore, x = or x = Now, we have to subtract from Therefore, x = Thus, = D) a Given, = Let us assume the missing number be x. Therefore, x = or = x or x = Now, we have to subtract from Therefore, x = Thus, = 60.75
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