In the Indian place value system, what does the term 'lakh' represent?

In the Indian place value system, 'lakh' represents one hundred thousand or 10⁵.

The number 12,78,830 can be broken down into how many crores, lakhs, thousands, and units?

The number 12,78,830 can be broken down as:

• 12 lakhs

• 78 thousands

• 830 units

What is the expanded form of the number 4,582?

4,582 = 4,000 + 500 + 80 + 2 

• 4 is in the thousands place → 4 x 1,000 = 4,000

• 5 is in the hundreds place → 5 x 100 = 500

• 8 is in the tens place → 8 x 10 = 80

• 2 is in the ones place → 2 x 1 = 2

True or False: In the International place value system, commas are placed after every two digits.

False. In the International system, commas are placed after every three digits.

What are the first three digits in the Indian place value system known as?

The first three digits are known as units, tens, and hundreds.

What is the primary difference in the grouping of digits between the Indian and International systems of numeration?

• Indian System: Digits are grouped as 3,2,2 from the left (e.g., 12,34,56,789 is read as 12 crore 34 lakh 56 thousand 789).

• International System: Digits are grouped in 3s from the right (e.g., 123,456,789 is read as 123 million 456 thousand 789).

What is the difference in terminology between the Indian and International systems for 10⁶ ?

• In the Indian system, 10⁶  = 10,00,000 is called 10 lakh.

• In the International system, 10⁶  = 1,000,000 is called 1 million.

So, 10 lakh = 1 million 

Fill in the blank: Six million eight hundred forty-nine thousand two hundred forty can be represented in the International system as ___ .

6,849,240

The place value of 5 in the number 92,735 is __________.

The place value of 5 in the number 92,735 is 5 (ones place).

True or False: In the International number system, 1 crore is equivalent to 1 million.

False. In the International number system, 1 crore is equivalent to 10 million.

A store has 1,31,789 items. Should you round up or down to the nearest lakh for inventory planning?

a) Round up to 2,00,000

b) Round down to 1,00,000

c) Round to 1,31,000

d) No rounding needed

Ten thousands digit: 3 < 5, so round down to 1,00,000. 

For planning, round up to 2,00,000 to ensure enough stock.

Answer: a) Round up to 2,00,000

A star is 1,79,21,437 km away. Express this distance in the International system.

International system: 1,79,21,437 = 17,921,437.

Estimate 7,29,413 + 4,81,327 to the nearest ten thousand.

7,29,413 ≈ 7,30,000 (thousands digit 9, hundreds 4 < 5).

4,81,327 ≈ 4,80,000 (thousands digit 1 < 5).

Sum: 7,30,000 + 4,80,000 = 12,10,000