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Word Problem: Numeration | Mathematics for Class 4 PDF Download

Q1: If you have 3 hundreds, 4 tens, and 2 ones, what number do you have? 

Ans: Hundreds: 3 hundred means you have 3 groups of 100. So, 3×100=3003 \times 100 = 300.

Tens: 4 tens means you have 4 groups of 10. So, 4×10=404 \times 10 = 40.

Ones: 2 ones means you have just 2.

Now, you add them all together: 300+40+2=342300 + 40 + 2 = 342

So, the number is 342.

  Word Problem: Numeration | Mathematics for Class 4

Q2: You have 500 marbles. Your friend gives you 150 more marbles. How many marbles do you have now? 

Ans: Start with 500 marbles. Your friend gives you 150 more marbles.

To find out how many you have now, you add: 500+150=650500 + 150 = 650

Now, you have 650 marbles.

Q3: Sarah has 7,200 stickers. She gives away 1,500 stickers to her friends. How many stickers does she have left?

Ans: Sarah starts with 7,200 stickers. She gives away 1,500 stickers.

To find out how many stickers she has left, you subtract: 7,2001,500=5,7007,200 - 1,500 = 5,700

So, Sarah has 5,700 stickers left.


Q4: If the greatest 5-digit number is 99,999, what is the successor of this number?
Ans:
The greatest 5-digit number is 99,999. The successor of a number is what you get when you add 1 to it.

So, you do: 99,999+1=100,00099,999 + 1 = 100,000

Therefore, the successor is 100,000.


Q5: If you add 1 to the number 1,00,000, what number do you get, and how many digits does it have?
Ans: 
Start with 100,000. When you add 1, you get:

100,000+1=100,001

To find out how many digits this number has, count them: 1, 0, 0, 0, 0, 1. That makes 6 digits.

So, the answer is 100,001, which has 6 digits.


Q6: If you write the number 23,344 in expanded notation, what is its expanded form?
Ans:
In expanded notation, we break down each digit by its place value:

  • 2 is in the thousands place: 2×10,000=20,0002 \times 10,000 = 20,000
  • 3 is in the thousands place: 3×1,000=3,0003 \times 1,000 = 3,000
  • 3 is in the hundreds place: 3×100=3003 \times 100 = 300
  • 4 is in the tens place: 4×10=404 \times 10 = 40
  • 4 is in the ones place: 4×1=44 \times 1 = 4

Putting it all together, you get: 23,344=20,000+3,000+300+40+423,344 = 20,000 + 3,000 + 300 + 40 + 4


Q7: If you have the numbers 12,675, 6,532, 62,392, 18,125, and 29,358, how would you arrange them in ascending order?
Ans: 
To arrange these numbers in ascending order (from smallest to largest), you compare each number:

  • The smallest number is 6,532.
  • Next is 12,675.
  • Then comes 18,125.
  • After that, we have 29,358.
  • Finally, the largest number is 62,392.

So, the order is:

6,532<12,675<18,125<29,358<62,3926,532 < 12,675 < 18,125 < 29,358 < 62,392


Q8: Sarita wants to round off her weight to the nearest ten. If she currently weighs 42 kg, what would her rounded weight be?
Ans: 
Sarita weighs 42 kg. To round to the nearest ten, we look at the ones digit, which is 2.

Since 2 is less than 5, we round down.

So, 42 kg rounded to the nearest ten is 40 kg.


Q9: If you have 1 lakh rupees and add ₹1 to it, what is the new amount in numerical form?
Ans:
1 lakh is written as 100,000. When you add ₹1, you do:

100,000+1=100,001100,000 + 1 = 100,001

So, the new amount is 100,001 rupees.


Q10: What is the difference in place value between the digit 5 in the number 56,789 and the digit 5 in the number 5,678?
Ans:
In the number 56,789, the digit 5 is in the thousands place, so its place value is: 5×1,000=5,0005 \times 1,000 = 5,000

In the number 5,678, the digit 5 is in the hundreds place, so its place value is: 5×100=5005 \times 100 = 500

Now, to find the difference in place values: 5,000500=4,5005,000 - 500 = 4,500

So, the difference in place value is 4,500.

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FAQs on Word Problem: Numeration - Mathematics for Class 4

1. What is numeration and why is it important in mathematics?
Ans.Numeration is the system of using numbers to represent quantities. It is important in mathematics because it helps us understand and communicate numerical values, perform calculations, and solve problems in everyday life.
2. How do we read and write large numbers in numeration?
Ans.To read and write large numbers, we group the digits into sets of three, starting from the right. Each group represents a place value (units, thousands, millions, etc.). For example, the number 1,234,567 is read as "one million, two hundred thirty-four thousand, five hundred sixty-seven."
3. What are the different place values in a number?
Ans.The different place values in a number include units (ones), tens, hundreds, thousands, ten thousands, hundred thousands, millions, and so on. Each place value represents a power of ten, helping us understand the value of each digit in a number.
4. How can I practice numeration skills for better understanding?
Ans.You can practice numeration skills by solving worksheets that involve reading and writing numbers, comparing values, and performing addition or subtraction with large numbers. Online games and quizzes can also make learning fun and engaging.
5. What is the difference between standard form and expanded form in numeration?
Ans.Standard form is the way we usually write numbers using digits, for example, 4,567. Expanded form breaks the number down into its place values, showing each digit's value, for example, 4,000 + 500 + 60 + 7 for the number 4,567.
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