Large Numbers Around Us MCQ Test — Class 7 CBSE

Solution:

In the Indian System, commas are placed after the hundreds, then after every two digits.

The number 7,05,00,210 has groups: 210 (hundreds), 00 (thousands), 05 (lakhs), 7 (crores).

Therefore, it is read as Seven crore, five lakh, two hundred ten.

Solution:

Break down the number into its International System groups: 'Four hundred fifty-three million', 'two hundred one thousand', 'five hundred'.

Four hundred fifty-three million is 453,000,000.

Two hundred one thousand is 201,000.

Five hundred is 500. Combining these gives 453,201,500.

Solution:

The number 'Nine crore forty-five thousand six hundred two' means there are 9 crores, 0 lakhs, 45 thousands, 6 hundreds, 0 tens, and 2 ones.

In the Indian System, this should be written as 9,00,45,602.

Ravi wrote 9,45,602, which is nine lakh forty-five thousand six hundred two. He missed the 'lakhs' period completely, treating the number as if it only had lakh and thousand places, not crore.

Solution:

In the Indian System, 1 Lakh = 1,00,000.

In the International System, 1 Million = 1,000,000.

To compare, divide 1 Million by 1 Lakh: 1,000,000 / 1,00,000 = 10.

This means 1 Million is 10 times 1 Lakh, or 1 Lakh is 10 times smaller than 1 Million.

Solution:

The number is 8,46,29,051.

Starting from the right, the place values are: 1 (ones), 5 (tens), 0 (hundreds), 9 (thousands), 2 (ten thousands), 6 (lakhs), 4 (ten lakhs), 8 (crores).

The digit 6 is in the 'lakhs' place.

Therefore, its place value is 6 × 1,00,000 = 6,00,000.

Solution:

Let's list the numbers and their number of digits:

A) 9,99,999 (6 digits)

B) 10,00,000 (7 digits)

C) 99,999 (5 digits)

D) 1,00,001 (6 digits)

The number with the most digits is 10,00,000, which has 7 digits. Therefore, it is the largest.

Solution:

The given digits are 3, 0, 7, 5, 9, 2.

To form the smallest number, we generally arrange the digits in ascending order: 0, 2, 3, 5, 7, 9.

However, a 6-digit number cannot start with 0, as it would then become a 5-digit number. So, place the next smallest digit (2) at the beginning.

Then, place the 0, followed by the remaining digits in ascending order: 2, 0, 3, 5, 7, 9.

The smallest 6-digit number is 203579.

Solution:

The number is 28,45,789.

We need to round to the nearest lakh. The digit in the lakhs place is 8.

Look at the digit to its right, which is in the ten thousands place: 4.

Since 4 is less than 5, we keep the lakhs digit (8) as it is and change all digits to its right to zeros.

So, 28,45,789 rounded to the nearest lakh is 28,00,000.

Solution:

Let's analyze each option for the number 15,67,890:

A) The digit 6 is in the ten thousands place. Its value is 6 × 10,000 = 60,000. So, this statement is TRUE. Wait, re-reading the question, I need to pick THE true statement, this implies only one. Let me re-evaluate.

A) The value of the digit 6 is 60,000. (Correct, 6 is in the ten thousands place).

B) The number is 15,67,890. 16 lakh is 16,00,000. 15,67,890 is NOT greater than 16,00,000. So, this is FALSE.

C) In the International System, 15,67,890 is 1,567,890. This is read as 'One million five hundred sixty-seven thousand eight hundred ninety'. So, this is TRUE.

D) Rounded to the nearest ten thousand (6 in ten thousands place, 7 to its right means round up), it would be 15,70,000. So, this is TRUE.

It seems I made a mistake in expecting only one true statement, but the prompt says 'exactly ONE correct answer'. Let me re-check my interpretation of 'conceptual understanding' and 'easy' and re-evaluate the options to ensure only one is unequivocally correct or that one is 'most' correct conceptually.

Let's re-examine A: 'The value of the digit 6 is 60,000.' This is a direct computation of place value. It is true.

Let's re-examine C: 'In the International System, it would be read as 'One million five hundred sixty-seven thousand eight hundred ninety'.' This involves converting and reading, which is also a direct application. It is true.

Let's re-examine D: 'Rounded to the nearest ten thousand, the number is 15,70,000.' This involves rounding. It is true.

There are multiple true statements here. This violates the 'exactly ONE correct answer' rule. I need to redesign this question or its options to ensure only one is correct, or one is conceptually deeper than the others if multiple seem numerically true.

Let me change option A to be incorrect and keep C and D as potentially correct (then make one truly correct). Or, I can rephrase the question to ask 'Which of the following statements is INCORRECT?' to make a single answer possible if I have multiple true facts. Given the prompt, I must stick to 'true' and ensure only one is true.

Let's try to make A, B, D incorrect, and C correct, focusing on the core difference between systems.

New Option A: The face value of the digit 6 is 60,000. (Incorrect, face value is 6).

New Option D: Rounded to the nearest lakh, the number is 15,00,000. (Incorrect, it would be 16,00,000 as 6 is >=5).

Let's retry this question with better options to ensure only one correct answer.

Original Question: A factory produced 15,67,890 toys in a year. Which of the following statements is true about this number?

A) The value of the digit 6 is 60,000. (True)

B) The number is greater than 16 lakh. (False)

C) In the International System, it would be read as 'One million five hundred sixty-seven thousand eight hundred ninety'. (True)

D) Rounded to the nearest ten thousand, the number is 15,70,000. (True)

Okay, my initial options were problematic. I need to make sure only one is correct. Let's make options about different aspects of the number, ensuring only one is factually correct as per the rules.

Let's make a new set of options for Q9, ensuring only one is true.

Number: 15,67,890

A) The digit 5 is in the ten thousands place. (False, 5 is in the lakhs place)

B) If rounded to the nearest lakh, the number becomes 15,00,000. (False, 6 in ten thousands place rounds up to 16,00,000)

C) In the International System, this number is written as 1,567,890. (True)

D) The place value of the digit 8 is 80,000. (False, 8 is in hundreds place, value 800)

This revised set works! Option C is the only true one. Re-writing the solution accordingly.

Solution:

A) The face value of a digit is the digit itself, regardless of its position. Its place value changes, not face value. So, this is FALSE.

B) To compare two large numbers, we first check the number of digits. If they are equal, we compare digits from the leftmost (highest place value) position. So, this is FALSE.

C) 1 Crore = 1,00,00,000 (Indian System). 10 Million = 10,000,000 (International System). Both represent the same quantity. So, this is TRUE.

D) Rounding a number can make it larger (e.g., 26 rounded to nearest 10 is 30) or smaller (e.g., 24 rounded to nearest 10 is 20). So, this is FALSE.