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E:\Working\Orange_Education\Math_Genius_3\Open_Files\CHAP_01
\ 01-Oct-2025 Bharat Arora Proof-10 Reader’s Sign _______________________ Date __________
4. Write the expanded form of the following numbers.
(a) 3914 = _________________________________________________________
(b) 4590 = _________________________________________________________
(c) 2605 = _________________________________________________________
(d) 7002 = _________________________________________________________
5. Write the short form of the following numbers.
(a) 4000 + 800 + 30 + 2 = _________________________
(b) 7000 + 500 + 4 = _________________________
(c) 5 thousands + 6 hundreds + 1 ten + 7 ones = _________________________
(d) 9 thousands + 6 tens + 3 ones = _________________________
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MAths connect Cross-Curricular Learning
The Taj Mahal is situated on the bank of the river Yamuna in Agra. It was built by the
Mughal emperor Shah Jahan in memory of his wife, Mumtaz.
Use the following clues to find the year of its construction.
The place value of the digit at the thousands place is 1000.
The face value of the digit at the hundreds place is 6.
The digit at the tens place is half of the digit at the hundreds place.
The sum of all the digits in the year is 12.
Thus, the year of construction is ____________.
ComPariNg Numbers
Different Number of Digits
A number with more digits is always greater.
Example 1: Compare 6412 and 986.
Math Insight
Solution: Th H t O '>' is the sign for greater than and
6 4 1 2 4 digits '<' is the sign for lesser than.
9 8 6 3 digits The crocodile’s mouth always opens towards
the bigger number. 6451 245
So, 6412 > 986
Mathematics-3 15

