Q1: Write the place value of:
(a) 5 in 1536 ______.
Ans: The place value of 5 is 500. (Hundred)
Sol:
Here are the values of each number:
The place value of 5 is 500. (Hundred)
(b) 0 in 5047 ______.
Ans: The value of 0 is 000. (Hundred)
Sol:
Here are the values of each number:
The value of 0 is 000. (Hundred)
Q2: Arrange the following numbers in ascending order:
(a) 7308, 7038, 7348, 7304
(b) 4526, 4256, 4569, 4325
Ans:
(a) 7038, 7304, 7308, 7348
(b) 4256, 4325, 4526, 4569
Sol: Arranging numbers in ascending order means putting them in order from the smallest to the largest. Here's a step-by-step guide:
Q3: Make a place-value chart with six places. Enter in it the digits of the numbers given below:
(a) 3,50,008
(b) 9,50,004
(c) 3,58,309
Ans:
Here is a place-value chart with six places, with each digit of the given numbers entered accordingly:
Sol: In the Indian numbering system, numbers are divided into place values such as Lakhs (L), Ten Thousands (TT), Thousands (T), Hundreds (H), Tens (T), and Ones (O). Each place has a specific value depending on its position in the number. When we place digits in these columns, it shows the value each digit represents in the number. Let’s break down each example:
(a) 3,50,008:
(b) 9,50,004:
(c) 3,58,309:
By placing each digit in the correct place-value column, we can understand the full value of each number.
Q4: Write the short form of:
(a) 8,00,000 + 2,000 + 30 + 6
(b) 9,00,000 + 4,000 + 200
(c) 5,000 + 300 + 40 + 3
Ans:
(a) 8,00,000 + 2,000 + 30 + 6 = 8,02,036
(b) 9,00,000 + 4,000 + 200 = 9,04,200
(c) 5,000 + 300 + 40 + 3 = 5,343
Sol: (a) 8,00,000 + 2,000 + 30 + 6 = 8,02,036
We start by adding the place values together:
(b) 9,00,000 + 4,000 + 200 = 9,04,200
We add the place values:
(c) 5,000 + 300 + 40 + 3 = 5,343
We add each place value:
Q5: Fill in the blanks using >, = or < :
(a) 6,85,196 ______ 9,65,209.
(b) 1,520 ______ 534.
(c) 2,58, 734 ______ 2,58, 743
Ans:
(a) 6,85,196 < 9,65,209.
(b) 1,520 > 534.
(c) 2,58, 734 < 2,58, 743
Sol: Comparing two numbers involves determining their relationship in terms of magnitude. Here's how you can interpret the symbols ">" (greater than), "<" (less than), and "=" (equal to):
Greater Than (>): If one number is greater than another, you use the ">" symbol. For example, 5 > 3 means "5 is greater than 3."
Less Than (<): If one number is smaller than another, you use the "<" symbol. For example, 2 < 7 means "2 is less than 7."
Equal To (=): If both numbers are the same, you use the "=" symbol. For example, 4 = 4 means "4 is equal to 4."
Q6: Arrange the following numbers in descending order:
(a) 6,53,192; 6,35,294; 68,156; 1,28,193; 6,346
(b) 81,526; 4,54,839; 2,81,263; 7,19,076; 2,35,245
Q7: Which is greater: 3,69,501 or 3,69,51 0?
Sol: 3,69,51 0 is greater because 510 is greater than 501.
The number 3,69,510 is greater because, at the tens place, 510 is greater than 501.
Q8: Write the place-value of 2 in 7,52,693.
Sol: The place value of 2 in 7,52,693 is 2,000.
In the number 7,52,693, the 2 is in the thousands place, so its place value is 2,000.
Q9: Arrange the following numbers in descending order:
(a) 62,917; 1,00,008; 45,132; 36,472
(b) 25,192; 1,25,471; 61,832; 94,371
Sol:
(a) 1,00,008; 62,917; 45,132; 36,472
(b) 1,25,471; 94,37; 61,832; ; 25,192
Q10: Ring the largest number in each group:
(a) 7,20,163, 7,20,136, 7,02,163, 7,02,613
Sol: 7,20,163 is the largest in the group.
(b) 19,754, 45,791, 95,714, 71,459
Sol: 95,714 is the largest in the group
Q11: Write the place-value of the underlined digits in each of the following:
(a) 7,36,214
(b) 5,46,201
(c) 4,36,193
Sol:
(a) The place value of 1 is 10.
(b) The place value of 5 is 500000
(c) The place value of 9 is 90
Q12: Write each of the following numbers in figures:
(a) Six lakh, eight thousand, one hundred two
(b) Three lakh, fifty thousand, two hundred two
Sol:
(a) 680102.
(b) 350202.
Q13: Solve the following:
(a) Write the smallest 4-digit number using
(i) only one digit
(ii) different digits.
Sol:
(i) 1111 is the 4 - digit smallest number with all 4 -digits same
(ii) Smallest 4-digit number with all 4 digits differebnt is 1234
(b) Write the predecessor of the smallest 6-digit number.
Sol: Smallest 6 didgit number = 100000
Predecessor of 100000 = 100000 -1 = 99999
Q14: Write the predecessor of each of the following numbers:
(a) 7,36,000
(b) 8,53,169
Sol:
(a) 7,36,000 -1 = 735999
(b) 8,53,169 -1 = 853168
Q15: Fill in the blanks:
(a) In 8036, 3 is at _____ place.
(b) In 1042, 2 is at _____ place.
Sol:
(a) In 8036, 3 is at tens place.
(b) In 1042, 2 is at ones place.
Q16: Find the place-value of:
(a) 4 in 3,49,026
(b) 2 in 7,25,419
Sol:
(a) The place value of 4 is 40000 (Thousand)
(b) The place value of 2 is 20,000 (Ten Thousand)
Q17: Choose the numbers in which the place-value of 4 is 4 ,000:
4,61 ,290 , 9,24,300 , 56,004 , 64,000, 95,624, 46,521
Sol: 9,24,300; 64,000
Q18: Ring the smallest number in each group:
(a) 2,51,673, 2,51,637, 2,51,768, 2,51,367
Sol: 2,51,367 is the smallest number in the group.
(b) 62,514, 21,951, 41,527, 42,519
Sol: 21,951 is the smallest number in the group.
Q19: Find the place-value of 6 in each of the following numbers:
(a) 19,356
Sol: The place value of 6 is 6 (ones)
(b) 6,00,087
Sol: The place value of 6 is 600000 (lakhs)
Q20: Write the number names for each of the following numbers:
(a) 2,50,006
Sol: Two lakh fifty thousand and six.
(b) 4,65,009
Sol: Four lakh sixty five thousand and nine.
30 videos|110 docs|30 tests
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1. What is numeration in mathematics? |
2. What are the different types of numeration systems? |
3. How do you convert numbers from one numeration system to another? |
4. Why is understanding numeration important in everyday life? |
5. What role does numeration play in computer science? |
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