Grade 4 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 : ww-4-decimals [1] Grade 4 Decimals For more such worksheets visit Answer t he quest ions (1) What do you get when you subtract f rom ? (2) Fill in the blank with <, >, or = sign: (3) What is the smallest number should be subtracted f rom to give a prime number? Choose correct answer(s) f rom given choice (4) If the f ollowing f igure represents 0.35 What is the result of a b c d. 0.7 (5) Solve the f ollowing A) = 4.76 a b. 458 c d C) = a b c d B) = a b c d D) = a b c d (6) Write the decimal value of the f raction 8 10 a. 80 b. 8 c. 0.8 d. 0.08

2 ID : ww-4-decimals [2] (7) Write the decimal value of the f raction 6 a. 6.0E-5 b. 0.6 c d (8) What do you get when you add the f ollowing decimals: and 21.83? a b c d (9) The place value of 5 in is a. 5 Hundredths b. 5 Hundreds c. 5 Ten thousandths d. Tens (10) What do you get when you add the f ollowing decimals: , 36.95, 0.53? a b c d (11) What is the value of as a decimal number? a b c d Fill in the blanks (12) The number f ive Tenths can be written as in decimals (13) Write the f ollowing in short f orm (decimal number) : A) = B) = (14) Convert the f ollowing f ractions to decimal numbers: A) 4719 B) = = C) 8600 = D) =

4 Answers ID : ww-4-decimals [4] (1) 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 Hence, when we subtract f rom , we get (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.0556 > Hence, > (3) 2.06

5 (4) b ID : ww-4-decimals [5] If we look at the f igure, we notice that, there are total 100 boxes. 35 of 100 represents Theref ore, 1 of 100 represents = 1 = The dif f erence of the boxes in the given f igures = = 13 and hence 13 of 100 represents = Thus, the result of = 0.13 is 0.13.

6 (5) A) d ID : ww-4-decimals [6] Given, = 4.76 Let us assume the missing number be x. Theref ore, x = 4.76 or x = Now, we have to add and Theref ore, x = Thus, = 4.76 B) c Given, = Let us assume the missing number be x. Theref ore, x = or x = Now, we have to add and Theref ore, x = Thus, = 91.35

7 C) d ID : ww-4-decimals [7] Given, = Let us assume the missing number be x. Theref ore, x = or x = Now, we have to add and Theref ore, x = Thus, = D) 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, = (6) c. 0.8 (7) d

8 (8) c ID : ww-4-decimals [8] 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. 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 21.83, we get (9) c. 5 Ten thousandths Let s use the place value chart and f ind where 5 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/) (1/0) Legend: TL - Ten Lakhs, L - Lakhs, TTH - Ten Thousands, TH - Thousands, H - Hundreds, T - Tens, O - Ones. From the above table, we observe that 5 is placed under the Ten thousandths place. Hence, the place value of 5 in is 5 Ten thousandths.

9 (10) a ID : ww-4-decimals [9] 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. 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 , 36.95, and 0.53 we get

10 (11) a ID : ww-4-decimals [10] First, let us identif y all the whole numbers and add them as below: = 631 Let us now convert the f raction numbers into decimals: = 0.8 = = Let s use the place value chart to add the whole numbers and the decimal numbers as: Ones T enths Hundredths T housandths H T O. (1/10) (1/100) (1/) T otal Legend: H - Hundreds, T - Tens, O - Ones. Hence, the answer is

11 (12) 0.5 ID : ww-4-decimals [11] Let s f irst convert the number name into number/f raction. So, f ive Tenths can be written as: 5 10 By converting the f raction into decimals, we get: 5 = Theref ore, the number f ive Tenths in decimal f orm is 0.5. (13) A) B)

12 (14) A) ID : ww-4-decimals [12] Let us understand the def inition of decimal f raction and decimals: Decimal fraction: is a f raction whose denominator is a power of ten such as 10, 100, etc. A decimal number, or just decimal, ref ers to any number written in decimal notation. In a number written in decimal notation, all digits to the lef t of the decimal point have f ace values more than one and those on the right of the decimal point have f ace values less than one. We should remember f ollowing f acts about decimal numbers: Fact 1. When a decimal number is multiplied by ten, the result is obtained by moving the decimal point to the right by one digit. Fact 2. When a decimal number is divided by ten, the result is obtained by moving the decimal point to the lef t by one digit. Fact 3. When a number does not have a decimal point, we can assume that there is a hidden decimal point to the right of the unit digit (right-most digit). Now, let us try to convert the decimal f raction 4719/ to a decimal number. Here, the number 4719 is to be divided by. In other words we can say that 4719 is to be divided by 10 three times. Step 5 In number 4719, the decimal point can be assumed to be hidden to the right of the unit digit. When it is divided by 10 three times, the decimal point will move three digits to the lef t. Hence the decimal number we get will be: Step 6 Theref ore, the answer is

13 B) ID : ww-4-decimals [13] Let us understand the def inition of decimal f raction and decimals: Decimal fraction: is a f raction whose denominator is a power of ten such as 10, 100, etc. A decimal number, or just decimal, ref ers to any number written in decimal notation. In a number written in decimal notation, all digits to the lef t of the decimal point have f ace values more than one and those on the right of the decimal point have f ace values less than one. We should remember f ollowing f acts about decimal numbers: Fact 1. When a decimal number is multiplied by ten, the result is obtained by moving the decimal point to the right by one digit. Fact 2. When a decimal number is divided by ten, the result is obtained by moving the decimal point to the lef t by one digit. Fact 3. When a number does not have a decimal point, we can assume that there is a hidden decimal point to the right of the unit digit (right-most digit). Now, let us try to convert the decimal f raction 1511/100 to a decimal number. Here, the number 1511 is to be divided by 100. In other words we can say that 1511 is to be divided by 10 two times. Step 5 In number 1511, the decimal point can be assumed to be hidden to the right of the unit digit. When it is divided by 10 two times, the decimal point will move two digits to the lef t. Hence the decimal number we get will be: Step 6 Theref ore, the answer is

14 C) 8.6 ID : ww-4-decimals [14] Let us understand the def inition of decimal f raction and decimals: Decimal fraction: is a f raction whose denominator is a power of ten such as 10, 100, etc. A decimal number, or just decimal, ref ers to any number written in decimal notation. In a number written in decimal notation, all digits to the lef t of the decimal point have f ace values more than one and those on the right of the decimal point have f ace values less than one. We should remember f ollowing f acts about decimal numbers: Fact 1. When a decimal number is multiplied by ten, the result is obtained by moving the decimal point to the right by one digit. Fact 2. When a decimal number is divided by ten, the result is obtained by moving the decimal point to the lef t by one digit. Fact 3. When a number does not have a decimal point, we can assume that there is a hidden decimal point to the right of the unit digit (right-most digit). Now, let us try to convert the decimal f raction 8600/ to a decimal number. Here, the number 8600 is to be divided by. In other words we can say that 8600 is to be divided by 10 three times. Step 5 In number 8600, the decimal point can be assumed to be hidden to the right of the unit digit. When it is divided by 10 three times, the decimal point will move three digits to the lef t. Hence the decimal number we get will be: 8.6 Step 6 Theref ore, the answer is 8.6.

15 D) ID : ww-4-decimals [15] is a mixed f raction. A mixed f raction is a combination of a whole number and a proper f raction. In the mixed f raction 3 672, 3 is a whole number and 672 is a proper f raction. To convert the mixed f raction into decimal, we shall f irst convert the proper f raction 672 into a decimal number and add it to the whole number 3. The proper f raction 672 can be written as a decimal number as Adding the whole number 3 to the decimal number 0.672, we get Step 5 Theref ore, the answer is (15) True