Hello Dear Students! Hope everything is fantastic! Here on this page we (Net Ex.) has arranged a set of questions on ‘Decimals and fundamental operations on them’ for the students of Navodaya Vidyalaya Entrance Exam (JNVST) 2024. The prescribed questions on Decimals and fundamental operations on them will very important for this year 2024.
Decimals and fundamental operations on them Class 6 Navodaya Vidyalaya 2024:
Full Mark :80 Time : 2.5 hours
(1) Answer the following questions : (5 × 1 = 5)
(i) Decimals can be classified into how many classes?
(ii) Define the terminating decimals
(iii) What is meant by the term round off in decimals?
(iv) Write the rule to find whether a given rational number is terminating or not.
(v) How many digits after a decimal point show a non-terminating decimal?
(2) Multiply : (5 × 1 = 5)
(i) 123.25 × 2.5
(ii) 22.45 × 2.3
(iii) 420.3 × 11.3
(iv) 12.3 × 3.6
(v) 11.33 × 1.3
(3) Divide : (5 × 1 = 5)
(i) 125.25 ÷ 5.5
(ii) 234.24 ÷ 12.2
(iii) 345.00 ÷ 55.00
(iv) 1258.12 ÷ 24.20
(v) 120.78 ÷ 5.8
(4) Convert the following decimals into rational numbers. (5 × 1 = 5)
(i) 0.26
(ii) 2.46
(iii) -0.135
(iv) 6.82
(v) 7.25
(5) Round off the following decimals up to three decimal places. (5 × 1 = 5)
(i) 4.1232
(ii) 22.3599
(iii) 99.999
(iv) 110.1294
(v) 12.2465
(6) Without actual division, separate the terminating and non-terminating decimals. (5 × 1 = 5)
(i) 8/3
(ii) 15/20
(iii) 4/9
(iv) 20/15
(v) 5/11
(7) Round off the following decimals up to two decimal places. (5 × 1 = 5)
(i) 1.2333
(ii) 5.3699
(iii) 9.9844
(iv) 4.3656
(v) 4.8949
(8) Express the following rational numbers in terminating decimals. (5 × 1 = 5)
(i) 84/64
(ii) 24/32
(iii) 38/28
(iv) 20/10
(v) 36/26
(9) Express the following rational numbers in non-terminating decimals up to three decimal places. (5 × 1 = 5)
(i) 26/11
(ii) 9/11
(iii) 10/6
(iv) 4/6
(v) 8/12
(10) Convert the following decimals into rational numbers. (5 × 1 = 5)
(i) 16.26
(ii) 15.35
(iii) 10.45
(iv) 0.00025
(v) 0.2350
(11) Round off the following up to 2-decimal places. (5 × 1 = 5)
(i) 5.6724
(ii) 207.432
(iii) 65.259
(iv) 6.325
(v) 35.4625
(12) Fill in the blanks : (5 × 1 = 5)
(i) A fraction will be terminating if the ___ has 2 or 5 or both as factors.
(ii) Two parts of decimal number separated by a dot is called the ___.
(iii) A ___ decimal may be recurring or non-recurring.
(iv) In terminating decimals, division ____ after a finite number of steps.
(v) In decimals, the term round off is used to leave the digits after the ___
(13) Convert the following into decimal fractions and identify terminating and non-terminating fractions. (5 × 1 = 5)
(i) 3/9
(ii) 18/8
(iii) 46/26
(iv) 25/5
(v) 20/11
(14) Express the following decimals into rational numbers. (5 × 1 = 5)
(i) 0.754
(ii) 0.547
(iii) 2.45
(iv) 1.85
(v) 8.24
(15) Simplify the following into Decimal numbers (5 × 1 = 5)
(i) 05.09
(ii) 12.36
(iii) 02.20
(iv) 10.12
(v) 19.20
(16) Convert each of the following decimals as fractions(5 × 1 = 5)
(i) 0.08
(ii) 3.25
(iii) 0.458
(iv) 10.54
(v) 0.65