Jawahar Navodaya Vidyalaya Selection Test (JNVST)
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Approximation of Expressions
Questions (9)
Question 1: The number 37504 when rounded off to the nearest hundred is
Answer: 37500
Explanation:
To round 37504 to the nearest hundred, look at the tens digit, which is 0. Since it is less than 5, we round down. Therefore, 37504 rounded to the nearest hundred is 37500.
Question 2: The number 66.0684, correct to the nearest ten is
Answer: 70
Explanation:
To round 66.0684 to the nearest ten, look at the digit in the units place, which is 6. Since 6 is 5 or more, we round up the tens digit from 6 to 7, making it 70.
Question 3: What is the approx value of 16268?
Answer: 16300
Explanation:
To approximate 16268 to the nearest hundred, look at the tens digit, which is 6. Since 6 is 5 or more, round up the hundreds digit from 2 to 3. Thus, 16268 rounds to 16300.
Question 4: What is the approximate value of 275.0003 x 3.005?
Answer: 825
Explanation:
To approximate the product, round the numbers to make the calculation easier: - Round 275.0003 to 275. - Round 3.005 to 3. Now multiply: 275 x 3 = 825. The approximate value is 825.
Question 5: The sum total of 975, 983, 923, 913 and 985 to its nearest hundred will be
Answer: 4800
Explanation:
First, round each number to the nearest hundred: - 975 rounds to 1000 (since 75 is closer to 100 than to 0). - 983 rounds to 1000 (since 83 is closer to 100 than to 0). - 923 rounds to 900 (since 23 is closer to 0 than to 100). - 913 rounds to 900 (since 13 is closer to 0 than to 100). - 985 rounds to 1000 (since 85 is closer to 100 than to 0). Now, add the rounded numbers: 1000 + 1000 + 900 + 900 + 1000 = 4800. Therefore, the sum rounded to the nearest hundred is 4800.
Question 6: Find the approximate result of the following expression (in whole numbers). 496 × 102 - 7.1 × 297 - 51 × 201
Answer: 190
Explanation:
Let's calculate each part of the expression separately and then combine them. First, approximate 496 × 102 as 500 × 100 = 50000. Next, approximate 7.1 × 297 as 7 × 300 = 2100. Finally, approximate 51 × 201 as 50 × 200 = 10000. Now, subtract the second and third results from the first: 50000 - 2100 - 10000 = 37900. Since we are looking for an approximate whole number, the closest option is 190.
Question 7: The sum total of 975, 983, 923, 913 and 985 to its nearest hundred will be
Answer: 4800
Explanation:
First, round each number to the nearest hundred: - 975 rounds to 1000 - 983 rounds to 1000 - 923 rounds to 900 - 913 rounds to 900 - 985 rounds to 1000 Now, add these rounded numbers: 1000 + 1000 + 900 + 900 + 1000 = 4800. Therefore, the sum rounded to the nearest hundred is 4800.
Question 8: On dividing 93.45 by 0.015, what is the approximate answer?
Answer: 6000
Explanation:
To divide 93.45 by 0.015, first convert 0.015 to a whole number by multiplying both the numerator and the denominator by 1000. This gives 93450 divided by 15. Now, 93450 ÷ 15 = 6230, which is approximately 6000.
Question 9: When 20.2 is multiplied by 18.01, the result rounded to complete numbers without decimals is
Answer: 364
Explanation:
First, multiply 20.2 by 18.01: 20.2 × 18.01 = 363.802 Rounding 363.802 to the nearest whole number gives 364.