Test: Large Numbers Around Us - Class 7 MCQ

In the Indian numbering system:

• One crore is equal to 10 million.
• This means one crore has 7 zeros.
• In numeric form, it is written as 1,00,00,000.

Therefore, the correct answer is 7.

The place value of the digit 5 in the number 5,632 is determined by its position. Here’s how it breaks down:

• The digit 5 is in the thousands place.
• The number can be read as:
  • 5 thousands (5,000)
  • 6 hundreds (600)
  • 3 tens (30)
  • 2 ones (2)
• Thus, the correct answer is b. Thousands.

The school ordered 750 notebooks after estimating a need of 732. This indicates they used the following rounding method:

• Rounding Up: This occurs when the estimated number is less than the actual order.
• In this case, the school rounded up to ensure they had enough notebooks.

Thus, the correct answer is Rounding Up.

The term "lakh" is commonly used in South Asia to denote a value of 100,000. Therefore:

• 10 lakh equals 1,000,000.
• This is also known as 1 million in the International number system.

Thus, the correct answer is 1 million.

You would need to press the 1,000 button 5 times to make 5,000 (5 x 1,000 = 5,000). This method of using button presses is a practical way to visualize large numbers.

Nine billion eight hundred seventy-six million five hundred one thousand two hundred thirty-four

• 9,876,501,234 is expressed in words as:
• Nine billion
• Eight hundred seventy-six million
• Five hundred one thousand
• Two hundred thirty-four

This representation uses the international number system, which is standard for reading large numbers.

The Indian place value system uses a unique pattern for comma placement:

• Commas are placed after every three digits from the right for the first three digits.
• After the first three digits, commas are placed after every two digits.

For example, the number 1,23,45,678 is formatted with commas as follows:

• 1 (crore), 23 (lakh), 45 (thousand), and 678 (units).

This system ensures clarity in reading large numbers.

The expanded form of the number 5072 is:

• 5 x 1000
• 0 x 100
• 7 x 10
• 2 x 1

This breakdown shows the contribution of each digit based on its place value:

• 5 is in the thousands place.
• 0 is in the hundreds place (which adds no value).
• 7 is in the tens place.
• 2 is in the units place.

In the context of estimation, rounding down means:

• Choosing a value that is less than the exact number.
• This approach is often used to simplify calculations.
• For example, rounding down 4.7 results in 4.
• It helps in making quick estimates without needing exact figures.

In the Indian number system, an arab is represented as 1 followed by 9 zeros:

• 1 arab = 1,00,00,00,000 (one billion in the Western system)

To clarify the options:

• A: 10,00,00,000 = 100 million
• B: 1,00,00,00,000 = 1 billion
• C: 10,00,00,00,000 = 10 billion
• D: 1,00,00,000 = 10 million

Therefore, the correct representation of one arab is b) 1,00,00,00,000.

To round the number 4,63,128 to the nearest lakh:

• Identify the nearest lakh values: 4,00,000 and 5,00,000.
• Calculate the difference from each:
  • 4,63,128 is 63,128 away from 4,00,000.
  • 4,63,128 is 36,872 away from 5,00,000.
• Since it is closer to 5,00,000, we round up.

The rounded value is 5,00,000.

The number 5,04,085 is read as:

• Five lakh four thousand eighty-five

This means:

• Five lakh represents 500,000.
• Four thousand adds 4,000.
• Eighty-five is 85.

When combined, this reads as Five lakh four thousand eighty-five.

The Indian place value system is unique and comprises specific units. Here’s a breakdown of the terms used:

• Crores: This is a part of the Indian system, representing ten million.
• Lakhs: This also belongs to the Indian system, equivalent to one hundred thousand.
• Thousands: This is included as well, representing one thousand.
• Millions: This term is NOT part of the Indian place value system; it is used in the Western system, representing one million.

The digit that indicates whether to round up or down when estimating to the nearest ten thousand is the thousands digit.

When rounding, follow these steps:

• Identify the ten thousands digit (the first digit to the left of the thousands).
• Look at the thousands digit (the digit immediately to the right of the ten thousands).
• If the thousands digit is 5 or more, round up.
• If it is less than 5, round down.

This method helps in making quick and accurate estimates.

To compare 500 lakhs and 5 million, we need to convert them into the same unit.

• 1 lakh equals 100,000.
• Thus, 500 lakhs is calculated as:
• 500 x 100,000 = 50,000,000
• 5 million is equal to:
• 5,000,000.

Now we can see that:

• 50,000,000 (500 lakhs) is greater than 5,000,000 (5 million).

Therefore, the answer is:

• 500 lakhs is the larger number.