Fill in the blanks with > or < :
(i) 4,80,798 ............... 4,81,612
(ii) 5,43,611 ............... 5,43,584
(iii) 2,37,928 ............... 68,946
Answer
(i) 4,80,798 ............... 4,81,612
Both numbers have 6 digits.
Comparing from the left:
The lakhs digit is 4 in both.
The ten thousands digit is 8 in both.
The thousands digit is 0 in 4,80,798 and 1 in 4,81,612.
Since 0 is less than 1, 4,80,798 is smaller than 4,81,612.
Hence, 4,80,798 < 4,81,612.
(ii) 5,43,611 ............... 5,43,584
Both numbers have 6 digits.
Comparing from the left:
The lakhs digit is 5 in both.
The ten thousands digit is 4 in both.
The thousands digit is 3 in both.
The hundreds digit is 6 in 5,43,611 and 5 in 5,43,584.
Since 6 is greater than 5, 5,43,611 is larger than 5,43,584.
Hence, 5,43,611 > 5,43,584.
(iii) 2,37,928 ............... 68,946
2,37,928 has 6 digits.
68,946 has 5 digits.
A number with more digits (when positive) is always greater than a number with fewer digits.
Hence, 2,37,928 > 68,946.
Fill in the blanks :
(i) 839 rounded to nearest hundred is ...............
(ii) 83,867 rounded to nearest thousand is ...............
(iii) (368 + 143) to nearest ten is ...............
Answer
(i) The tens digit is 3, which is less than 5, so we round down.
Hence, 839 rounded to the nearest hundred is 800.
(ii) The hundreds digit is 8, which is 5 or greater, so we round up the thousands digit.
Hence, 83,867 rounded to the nearest thousand is 84,000.
(iii) The sum: 368 + 143 = 511.
Then, round 511 to the nearest ten. The units digit is 1, which is less than 5, so we round down.
Hence, 368 + 143 to the nearest ten is 510.
Write True or False :
0 is the smallest counting number.
Answer
False.
Reason
Counting numbers (also known as natural numbers) are the numbers we use for counting objects. They start from 1.
0 is a whole number, but not a counting number in the mathematical sense.
Write True or False :
The 8th place in the Indian place value chart is called Ten Lakh.
Answer
False
Reason
In the Indian place value chart, starting from the right (ones place):
Ones
Tens
Hundreds
Thousands
Ten Thousands
Lakhs
Ten Lakhs
Crores
So, the 8th place is called Crores, and the 7th place is called Ten Lakhs.
Write True or False :
10 lakhs make a million.
Answer
True
Reason
In the Indian Numbering System: 10 Lakhs = 10,00,000
In the International Numbering System: 1 Million = 1,000,000
Both represent the same value.
Write True or False :
The predecessor of the smallest 7-digit number is the largest 6-digit number
Answer
True
Reason
The smallest number that has 7 digits = 1,000,000 (one million or ten lakh).
The predecessor of a number is the number that comes immediately before it.
Predecessor of 1,000,000 = 1,000,000 - 1 = 999,999.
The largest number that has 6 digits = 999,999.
The predecessor of the smallest 7-digit number = 999,999.
The largest 6-digit number is 999,999.
Write True or False :
10 millions make a crore.
Answer
True
Reason
International System: 10 million = 10,000,000
Indian System: 1 crore = 1,00,00,000
Since 10,000,000 (10 million) is equal to 1,00,00,000 (1 crore).
Write True or False :
13,564,030 in International system is written as thirteen million five hundred sixty four thousand thirty.
Answer
True
Reason
Here's the breakdown of 13,564,030 in the International System:
13, (Millions period) - Thirteen million
564, (Thousands period) - Five hundred sixty-four thousand
030 (Ones period) - Thirty
So, 13,564,030 in International system is written as thirteen million five hundred sixty four thousand thirty.