Class 4 Decimals. Answer the questions. For more such worksheets visit

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1 ID : in-4-decimals [1] Class 4 Decimals For more such worksheets visit Answer the questions (1) What is the place value of 4 in ? (2) Write two and five-tenths as a decimal fraction. (3) Write the decimal value of these fractions: A) Write the decimal value of the fraction B) Write the decimal value of the fraction. 0 C) Write the decimal value of the fraction. 2 0 D) Write the decimal value of the fraction (4) What is the smallest number that should be subtracted from 13.4 to give a prime number? (5) What do you get when you subtract from 497.? (6) What do you get when you add the following decimals: 256.2, 3.6, and 0.2? (7) What is the value of the following expression as a decimal number? A) B) () Fill in the blank with <, >, or = sign: (9) What is the place value of in 2.694? () What number do you get by adding Hundredths and 66 Ten thousandths together to 40 Hundreds? (11) Write the number four hundredths in decimal form. (12) Convert the fraction to its decimal number. (13) Write the number eight tenths in decimal form.

2 ID : in-4-decimals [2] Choose correct answer(s) from the given choices (14) 9 is read as: a. Nine ones b. Nine tens c. Nine hundreds d. Nine tenths (15) Fill in the blanks: 0.16 = tenths + 1 hundredths + thousandths a. 9, 6 b., 7 c., 6 d. 0, Edugain ( All Rights Reserved Many more such worksheets can be generated at

3 Answers ID : in-4-decimals [3] (1) 4 Ten thousandths Let us draw the place value chart to find where the digit 4 is placed in the given number: Lakhs Thousands Ones Tenths Hundredths Thousandths Ten thousandths TL L TTH TH H T O. (1/) (1/0) (1/00) (1/000) Legend: TL - Ten Lakhs, L - Lakhs, TTH - Ten Thousands, TH - Thousands, H - Hundreds, T - Tens, O - Ones. From the above table, we observe that 4 is placed under the Ten thousandths place. Hence, the place value of 4 in is 4 Ten thousandths. (2) 2.5 The number name given in the question is two and five-tenths. We know that tenths can be represented as 1. So, we can write two and five-tenths as 2 and Now, let us convert the mixed fraction into an improper fraction. 2 5 = = 25 Now, we have to write down the above fraction into the decimal fraction form. We know, 1 can be written as i.e., 2 5. Therefore, 25 can be written as 2.5. Hence, 2.5 is the required decimal fraction.

4 (3) A) ID : in-4-decimals [4] We know that the number of zeroes decide the position of the decimal place. Since the denominator is 00, the decimal point will be placed after 3 digits (starting from right to left). This means that the decimal value of the fraction 2 00 will be B) 0.0 We know that the number of zeroes decide the position of the decimal place. Since the denominator is 0, the decimal point will be placed after 2 digits (starting from right to left). This means that the decimal value of the fraction 0 will be 0.0. C) 0.02 We know that the number of zeroes decide the position of the decimal place. Since the denominator is 0, the decimal point will be placed after 2 digits (starting from right to left). This means that the decimal value of the fraction 2 0 will be 0.02.

5 D) 9.02 ID : in-4-decimals [5] We'll first convert the given mixed fraction into an improper fraction. 0 x = 902, which is our numerator. So the improper fraction will be We know that the number of zeroes decide the position of the decimal place. Since the denominator is 0, the decimal point will be placed after 2 digits (starting from right to left). This means that the decimal value of the fraction will be (4) 0.4 We know that 13.4 is not a prime number. On close observation, we find that the nearest prime number less than 13.4 is 13. Therefore, the smallest number that should be subtracted from 13.4 to make it prime = = 0.4.

6 (5) ID : in-4-decimals [6] Decimals with the same number of decimal places are called Like Decimals. The numbers given here are therefore Like Decimals. We need to subtract from Therefore, 497. must be placed on top and below that. 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 from the hundredths and borrowing if needed: Thousands Hundreds Tens Ones. Tenth Hundredth Hence, when we subtract from 497., we get

7 (6) ID : in-4-decimals [7] 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 256.2, 3.6, and 0.2, we get

8 (7) A) ID : in-4-decimals [] Let us first add the first three numbers which are not fractions: = 749 Let us next convert the last three fractions to decimals: 5 0 = 0. = = 0.00 Let's use the place value chart to add the whole numbers and the decimal numbers as: Ones Tenths Hundredths Thousandths H T O. (1/) (1/0) (1/00) Total Legend: H - Hundreds, T - Tens, O - Ones. Hence, the answer is

9 B) ID : in-4-decimals [9] Let us first add the first three numbers which are not fractions: = 477 Let us next convert the last three fractions to decimals: 5 0 = 0.5 = = Let's use the place value chart to add the whole numbers and the decimal numbers as: Ones Tenths Hundredths Thousandths H T O. (1/) (1/0) (1/00) Total Legend: H - Hundreds, T - Tens, O - Ones. Hence, the answer is

10 () < ID : in-4-decimals [] In the given problem we must first compare the whole numbers. Here, we see that the whole part for 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 fractional part. Comparing the fractional part of the two numbers, we find that.0 <.094. Hence, 0.0 < (9) Thousandths Let us draw the place value chart to find where the digit is placed in the given number: 2694 Lakhs Thousands Ones Tenths Hundredths Thousandths Ten thousandths TL L TTH TH H T O. (1/) (1/0) (1/00) (1/000) Legend: TL - Ten Lakhs, L - Lakhs, TTH - Ten Thousands, TH - Thousands, H - Hundreds, T - Tens, O - Ones. From the above table, we observe that is placed under the Thousandths place. Hence, the place value of in is Thousandths.

11 () ID : in-4-decimals [11] Let us first convert the number names into numerals: Hundredths = 0 = Ten thousandths = = Hundreds = 40 0 = 4000 Let us first add the decimal numbers as below: Lakhs Thousands Ones Tenths Hundredths Thousandths Ten thousandths TL L TTH TH H T O. (1/) (1/0) (1/00) (1/000) 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 to the whole number: Lakhs Thousands Ones Tenths Hundredths Thousandths Ten thousandths TL L TTH TH H T O. (1/) (1/0) (1/00) (1/000) Total Therefore, by adding Hundredths and 66 Ten thousandths together to 40 Hundreds, we get (11) 0.04 Let us first write the given number name as a fraction: 4 0 Converting the fraction into a decimal number, we get: 4 0 = 0.04

12 (12) 3.2 ID : in-4-decimals [12] fraction. is a mixed fraction. A mixed fraction is a combination of a whole number and a proper In the mixed fraction , 3 is a whole number and is a proper fraction. To convert the mixed fraction into its decimal form, we shall first convert the proper fraction into a decimal number and add it to the whole number The proper fraction can be written as 0.2 in its decimal form. Adding the whole number 3 to the decimal number 0.2, we get 3.2. Step 5 Therefore, the correct answer is 3.2. (13) 0. Let us first write the given number name as a fraction: Converting the fraction into a decimal number, we get: = 0.

13 (14) d. Nine tenths ID : in-4-decimals [13] Converting the given fraction into decimal form: 9 = 0.9 Let us now place the decimal number 0.9 in the decimal place value chart. Hundreds Tens Ones Decimal point Tenths 0. 9 Therefore, 0.9 is read as Nine tenths. Hence, option d is the correct answer. (15) c., 6 Let us arrange the decimal number 0.16 in the place value chart. Hundreds Tens Ones Decimal point Tenths Hundredths Thousandths Clearly, 0.16 = tenths + 1 hundredths + 6 thousandths. Hence, option c is the correct answer.

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