(4) How is the number f orty-six and eighty-f our Ten thousandths written in decimal f orm? a b c d. 46.

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1 ID : ww-6-decimals [1] Grade 6 Decimals For more such worksheets visit Answer t he quest ions (1) What is the dif f erence of nine Thousandths and f ive Ten thousandths? (2) Fill in the blank with <, >, or = sign: Choose correct answer(s) f rom given choice (3) What do you get when you divide by 48.8? a b c. 1.3 d. 2.8 (4) How is the number f orty-six and eighty-f our Ten thousandths written in decimal f orm? a b c d (5) A cable of length 14.4 metres was cut into pieces that were 1.2 metres long. How many pieces was it cut into? a. 12 b. 13 c. 10 d. 15 (6) Paul bought the f ollowing things when he got his f irst salary: A gaming system f or $ A DVD player f or $ An air conditioner f or $ If his salary was $ 50000, what does he have lef t af ter all the shopping? a. $ b. $ c. $ d. $ (7) The juice shop sells liters of orange juice on Wednesday and liters more than this amount on Thursday. In total, how many liters of orange juice did they sell? a litres b litres c litres d litres Fill in the blanks (8) Solve the f ollowing: A) ( ) x 0.6 = B) ( ) =

2 ID : ww-6-decimals [2] C) ( ) x 0.5 = D) ( ) x 0.3 = (9) Fill in the blank with 'greater' or 'lesser': A) is than B) is than (10) 8.43 x = (11) The smallest number should be subtracted f rom 6.25 to give an prime number is (12) 81 Ten Thousands + 21 Ten thousandths = (13) A caterpillar crawls 1752 cm in an hour. In 50 minutes it can cover metres. (14) = Check True/False (15) 0.58 is greater than True False 2016 Edugain ( All Rights Reserved Many more such worksheets can be generated at

3 Answers ID : ww-6-decimals [3] (1) Because nine Thousandths = and f ive Ten thousandths = Theref ore the dif f erence of the numbers nine Thousandths and f ive Ten thousandths = = = = = (2) < In the given problem we must f irst compare the whole numbers. Here, we see that the whole part f or both the numbers is 0 and hence is equal. However, we know that the given two numbers are not equal. So, let us compare the f ractional part. Comparing the f ractional part of the two numbers, we f ind that < Step 4 Hence, <

4 (3) c. 1.3 ID : ww-6-decimals [4] 1.3 In order to divide the given decimal numbers, let us f irst convert the divisor into a whole number by multiplying the dividend and the divisor by 10. We have: = 48.8 Step = Let us now divide by 488: Dividend Divisor 488 ) ( 1.3 Quotient Remainder 0 Step 5 Hence, on dividing by 48.8, we get 1.3. (4) d (5) a. 12 Total length of the cable = 14.4 metres Length of one piece of cable = 1.2 metres Number of pieces the cable was cut into = Total length of the cable Length of one piece of cable = = 12 Theref ore, it was cut into 12 pieces.

5 (6) b. $ ID : ww-6-decimals [5] Amount received by Paul as salary = $50000 Let us add the amounts spent by Paul f or purchasing various things: Ten Thousands Thousands Hundreds Tens Ones. Tenth Hundredth A gaming system A DVD player An air conditioner T otal Expense Hence, Paul's total expense is $ In order to f ind the amount lef t with Paul, let us subtract his f irst salary with his total expense: Amount lef t with Paul = Paul's salary - Paul's total expense = = (Writing in decimal f orm so that the two numbers are Like Decimals) Step 4 Now, let us subtract f rom by placing the digits of two decimal numbers according to their place values: Ten Thousands Thousands Hundreds Tens Ones. Tenth Hundredth Step 5 Hence, af ter shopping Paul is lef t with $

6 (7) d litres ID : ww-6-decimals [6] Amount of orange juice sold on Wednesday = liters Amount of orange juice sold on next day (i.e. Thursday) = = liters Total amount of orange juice sold in two days = = liters (8) A) 10 Let the unknown number be S. The given equation can then be written as: ( S) x 0.6 = Let us solve f or S: ( S) x 0.6 = S = S = S = 10 Theref ore, ( ) x 0.6 = B) Let the unknown number be S. The given equation can then be written as: ( ) = S Let us solve f or S: ( ) = S = S S = Theref ore, ( ) =

7 C) 0.5 ID : ww-6-decimals [7] Let the unknown number be S. The given equation can then be written as: ( ) x 0.5 = S Let us solve f or S: ( ) x 0.5 = S 1 x 0.5 = S S = 0.5 Theref ore, ( ) x 0.5 = 0.5. D) 100 Let the unknown number be S. The given equation can then be written as: ( S) x 0.3 = Let us solve f or S: ( S) x 0.3 = S = S = S = 100 Theref ore, ( ) x 0.3 = (9) A) greater If you look at the numbers and , you will notice that is greater than B) greater If you look at the numbers and 0.584, you will notice that is greater than 0.584

8 (10) 4.5 ID : ww-6-decimals [8] In order to multiply the two decimal numbers, let us f irst f ind out the position of the decimal point in the f inal product. Let us f irst count the number of decimal places in both the multiplicands. The total number of decimal places in the product will be the sum of the number of decimal places in both the multiplicands. In the number 4.5, there is 1 decimal place and in 8.43 there are 2 decimal places. Hence, there will be a total of 3 decimal places in the f inal product. Step 4 Now, let us multiply the two numbers just like whole numbers, and in the f inal product place the decimal point such that there are 3 decimal places (i.e. af ter 3 places f rom the right): x Step 5 Now put the decimal point af ter three places f rom right. Theref ore, = (11) 1.25

9 (12) ID : ww-6-decimals [9] First, let us convert the number names into numerals as below: 81 Ten Thousands = = Ten thousandths = = Let s now add the two numbers: T housands Ones T enths Hundredths T housandths T en thousandths Lakhs T L L T T H T H H T O. (1/10) (1/100) (1/1000) (1/10000) T otal Legend: TL - Ten Lakhs, L - Lakhs, TTH - Ten Thousands, TH - Thousands, H - Hundreds, T - Tens, O - Ones. Thus, 81 Ten Thousands + 21 Ten thousandths = (13) 14.6 A caterpillar crawls in an hour (60 minutes) = 1752 cm The distance covered in 1 minute = 1752 cm 60 = meters 1752 Theref ore, distance covered in 50 minutes = = 14.6 m 50

10 (14) ID : ww-6-decimals [10] Decimals with the same number of decimal places are called Like Decimals. T he numbers given here are theref ore Like Decimals. We need to subtract f rom Theref ore, must be placed on top and below. The digits of the two numbers must be placed according to their place values. Let us now do the subtraction of the two numbers digit by digit, starting f rom the hundredths and borrowing if needed: Thousands Hundreds Tens Ones. Tenth Hundredth Step 4 Hence, when we subtract f rom , we get (15) True

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