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E:\Working\Focus_Learning\Math_Genius_3_(11-09-2024)\Open_Files\CHAP_01
\ 11-Sep-2024 Surender Prajapati Proof-4 Reader’s Sign _______________________ Date __________

4. Write the expanded form of the following.

(a) 3914 = _________________________________________________________
(b) 4590 = _________________________________________________________

(c) 2605 = _________________________________________________________
(d) 7002 = _________________________________________________________

5. Write the short form of the following.

(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 = _________________________

www
MAths connect

The Taj Mahal is situated on the bank of the river Yamuna in Agra. It was built by the
Mughal emperor Shah Jahan in the memory of his wife, Mumtaz.

Use the following clues to find the year of its construction.

Š The place value of the digit at the thousands place is 1,000.

Š The face value of the digit at the hundreds place is 6.
Š The digit at the tens place is half of the digit at the hundreds
place.

Š The sum of all the digits in the year is 12.

Thus, the year of the construction is ____________.

ComPariNg Numbers

Different Number of Digits

The number with more digits is always greater.

example 1: Compare 6,412 and 986. Remember

Solution: th H t O '>' is the sign for "greater than" and
'<' is the sign for "lesser than."
6 4 1 2 4 digits The crocodile’s mouth always open towards

9 8 6 3 digits the bigger number.

So, 6,412 > 986 6,451 245

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