Grade 6 Decimals. Answer t he quest ions. Choose correct answer(s) f rom given choice. For more such worksheets visit
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1 ID : ae-6-decimals [1] Grade 6 Decimals For more such worksheets visit Answer t he quest ions (1) What do you get when you divide by 48.3? (2) The juice cart sells liters of peach juice on Tuesday and liters more than this amount on Wednesday. The f ollowing day, liters less peach juice than on Wednesday were sold. How many liters of peach juice did they sell on the Thursday? (3) A snail can move a distance of meters in 2.8 hours. What distance can it travel in ten hours? (4) What is the sum of the numbers six Tenths and eight Ten thousandths? Choose correct answer(s) f rom given choice (5) Take away One Hundredths two times f rom 1 and you are lef t with a b c d. none of these (6) If a bookworm can f inish eating pages f rom a book in 2.1 days, how much can it eat in one day? a pages b pages c. 8.7 pages d pages (7) The place value of 7 in is a. 7 Ones b. Hundreds c. 7 Thousands d. 7 Thousandths (8) A caterpillar can move a distance of 7.6 meters in 3.8 hours. What distance can it travel in 4 days? a m b. 188 m c m d. 192 m (9) What number do you get by adding 2 Tenths and 58 Tenths together to 7 Tens? a b. 7.6 c. 76 d (10) A decimal number can be written as the sum of a. even numbers b. integers c. proportions d. f ractions
2 ID : ae-6-decimals [2] Fill in the blanks (11) A snail crawls 56 cm in 37 minutes. It crawls another 98 cm in 65 minutes. The total distance it crawls is metres. (12) Solve the f ollowing: A) ( 10) = B) ( ) x 0.2 = 0.2 C) ( ) x = D) ( ) x 0.4 = 0.4 (13) Solve the f ollowing: A) = B) = C) = D) = (14) = (15) The caf eteria sells liters of orange juice on Monday and liters more than this amount on Tuesday. They sold liters of orange juice in total Edugain ( All Rights Reserved Many more such worksheets can be generated at
3 Answers ID : ae-6-decimals [3] (1) 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: = 48.3 Step = Let us now divide by 483: Dividend Divisor 483 ) ( 6.7 Quotient Remainder 0 Step 5 Hence, on dividing by 48.3, we get 6.7. (2) liters Amount of peach juice sold on Tuesday = liters Amount of peach juice sold on next day (i.e. Wednesday) = = liters Amount of peach juice sold on next day (i.e. Thursday) = = liters
4 (3) 4.2 ID : ae-6-decimals [4] The distance the snail can move in 2.8 hours = metres The distance it can move in 1 hour = = 0.42 metres The distance it can move in 10 hours = = 4.2 metres Step 4 Theref ore, the snail can move 4.2 metres in ten hours. (4) Six Tenths = 6 10 and eight Ten thousandths = Theref ore the sum of the numbers six Tenths and eight Ten thousandths = = = = =
5 (5) a ID : ae-6-decimals [5] Look at the question caref ully and notice that One Hundredths of 1 = 1 100, and two times of = = 0.02 Now take One Hundredths two times f rom 1 or subtracting 0.02 f rom 1 = = 0.98 Theref ore the lef t value with you, when you take away One Hundredths two times f rom 1 is (6) c. 8.7 pages The number of pages the bookworm can eat in 2.1 days = In order to f ind the number of pages it can eat in 1 day, we need to divide by 2.1: = 8.7 Theref ore, the bookworm can eat 8.7 pages in 1 day. (7) d. 7 T housandths Let s use the place value chart and f ind where 7 is placed: Lakhs T housands Ones T enths Hundredths T housandths T en thousandths T L L T T H T H H T O. (1/10) (1/100) (1/1000) (1/10000) Legend: TL - Ten Lakhs, L - Lakhs, TTH - Ten Thousands, TH - Thousands, H - Hundreds, T - Tens, O - Ones. From the above table, we observe that 7 is placed under the Thousandths place. Hence, the place value of 7 in is 7 Thousandths.
6 (8) d. 192 m ID : ae-6-decimals [6] (9) c. 76 Let us f irst convert the number names into numerals: 2 Tenths = 2 10 = Tenths = = Tens = 7 10 = 76 Let s f irst add the decimal numbers as below: Lakhs T housands Ones T enths Hundredths T housandths T en thousandths T L L T T H T H 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. Let us now add the decimal numbers with the whole number: Lakhs T housands Ones T enths Hundredths T housandths T en thousandths T L L T T H T H H T O. (1/10) (1/100) (1/1000) (1/10000) T otal Step 4 Theref ore, by adding 2 Tenths and 58 Tenths together to 7 Tens, we get 76.
7 (10) d. f ractions ID : ae-6-decimals [7] All decimal numbers can be written as f ractions. For example, 1.5 = 3 2, = 4 3 Theref ore, we can say that a decimal number can also be written as the sum of f ractions. (11) 1.54 The total distance (in cm) the snail crawls: 56 cm + 98 cm = 154 cm Let us now convert the distance 154 cm (centimetres) into distance in meters as below. We know that: 100 cm = 1 m Theref ore, 154 cm = 154 m = 1.54 m 100 Hence, the snail crawls 1.54 m in the total time. (12) A) Let the unknown number be S. The given equation can then be written as: (S 10) = Let us solve f or S: (S 10) = S 10 = S 10 = S = Theref ore, ( ) =
8 B) ID : ae-6-decimals [8] Let the unknown number be S. The given equation can then be written as: ( S) x 0.2 = 0.2 Let us solve f or S: ( S) x 0.2 = S = S = 1 S = Theref ore, ( ) x 0.2 = 0.2. C) 0.2 Let the unknown number be S. The given equation can then be written as: ( ) x S = Let us solve f or S: ( ) x S = x S = S = S = 0.2 Theref ore, ( ) x 0.2 =
9 D) ID : ae-6-decimals [9] Let the unknown number be S. The given equation can then be written as: ( S) x 0.4 = 0.4 Let us solve f or S: ( S) x 0.4 = S = S = 1 S = Theref ore, ( ) x 0.4 = 0.4. (13) A) Given, = Let us assume the missing number be x. Theref ore, x = or x = Now, we have to add and Theref ore, x = Thus, = 66.38
10 B) ID : ae-6-decimals [10] Given, = Let us assume the missing number be x. Theref ore, x = or x = Now, we have to add and Theref ore, x = Thus, = C) Given, = Let us assume the missing number be x. Theref ore, x = or x = Now, we have to subtract f rom Theref ore, x = Thus, =
11 D) ID : ae-6-decimals [11] Given, = Let us assume the missing number be x. Theref ore, x = or x = Now, we have to subtract f rom Theref ore, x = Thus, = (14) Decimals with the same number of decimal places are called Like Decimals. T he numbers given here are theref ore Like Decimals. In order to add the given Like Decimals, let us arrange the digits according to their place value, that is one below the other to make sure that the decimals are also placed exactly one below the other. This way, we will place the ones below the ones, the tenths below the tenths and so on. The decimal point in the answer will be placed as being placed in the addends. Step 4 Let us add the numbers digit by digit starting f rom the hundredths and carry over if needed: Thousands Hundreds Tens Ones. Tenth Hundredth Step 5 Hence, when we add the decimals and 95.22, we get
12 (15) ID : ae-6-decimals [12] Amount of orange juice sold on Monday = liters Amount of orange juice sold on next day (i.e. Tuesday) = = liters Total amount of orange juice sold in two days = = liters
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