Large Numbers Around Us

But how much is one lakh? Observe the pattern and fill in the boxes given below. The largest 3-digit number is 999 The smallest 4-digit number is _____ The largest 4-digit number is _____ The smallest 5-digit number is _____ The largest 5-digit number is _____ The smallest 6-digit number is 1,00,000

Choose a number for y. How close to one lakh is the number of days in y years, for the y of your choice?

According to the 2011 Census, the population of the town of Chintamani was about 75,000. How much less than one lakh is 75,000?

The estimated population of Chintamani in the year 2024 is 1,06,000. How much more than one lakh is 1,06,000?

By how much did the population of Chintamani increase from 2011 to 2024?

Write each of the numbers given below in words: (a) 3,00,600 (b) 5,04,085 (c) 27,30,000 (d) 70,53,138

Write the corresponding number in the Indian place value system for each of the following: (a) One lakh twenty three thousand four hundred and fifty six (b) Four lakh seven thousand seven hundred and four (c) Fifty lakhs five thousand and fifty (d) Ten lakhs two hundred and thirty five

The Thoughtful Thousands only has a +1000 button. How many times should it be pressed to show: (a) Three thousand? 3 times (b) 10,000? (c) Fifty three thousand? (d) 90,000? (e) One Lakh? (f) _____? 153 times (g) How many thousands are required to make one lakh?

The Tedious Tens only has a +10 button. How many times should it be pressed to show: (a) Five hundred? (b) 780? (c) 1000? (d) 3700? (e) 10,000? (f) One lakh? (g) _____? 435 times

The Handy Hundreds only has a +100 button. How many times should it be pressed to show: (a) Four hundred? (b) 3,700? (c) 10,000? (d) Fifty three thousand? (e) 90,000? (f) 97,600? (g) 1,00,000? (h) ____? 582 times (i) How many hundreds are required to make ten thousand? (j) How many hundreds are required to make one lakh? (k) Handy Hundreds says, "There are some numbers which Tedious Tens and Thoughtful Thousands can't show but I can." Is this statement true? Think and explore.

Creative Chitti is a different kind of calculator. It has the following buttons: +1, +10, +100, +1000, +10000 and +100000. It always has multiple ways of doing things. Two of the many different ways to get 5072 are shown below: (a) ($50 \times 100$) + ($7 \times 10$) + ($2 \times 1$) = 5072 (b) ($3 \times 1000$) + ($20 \times 100$) + ($72 \times 1$) = 5072 Find a different way to get 5072 and write an expression for the same.

For each number given below, write expressions for at least two different ways to obtain the number through button clicks. Think like Chitti and be creative. (a) 8300 (b) 40629 (c) 56354 (d) 66666 (e) 367813

For the numbers in the previous exercise, find out how to get each number by making the smallest number of button clicks and write the expression.

Do you see any connection between each number and the corresponding smallest number of button clicks?

If you notice, the expressions for the least button clicks also give the Indian place value notation of the numbers. Think about why this is so.

Read the following numbers in Indian place value notation and write their number names in both the Indian and American systems: (a) 4050678 (b) 48121620 (c) 20022002 (d) 246813579 (e) 345000543 (f) 1020304050

Write the following numbers in Indian place value notation: (a) One crore one lakh one thousand ten (b) One billion one million one thousand one (c) Ten crore twenty lakh thirty thousand forty (d) Nine billion eighty million seven hundred thousand six hundred

Compare and write '<', '>' or '=': (a) 30 thousand ___ 3 lakhs (b) 500 lakhs ___ 5 million (c) 800 thousand ___ 8 million (d) 640 crore ___ 60 billion

Think and share situations where it is appropriate to (a) round up, (b) round down, (c) either rounding up or rounding down is okay and (d) when exact numbers are needed.

Similarly, write the five nearest neighbours for these numbers: (a) 3,87,69,957 (b) 29,05,32,481