Q1: Write the place value of:
(a) 5 in 1536 ______.
Sol:
Here are the values of each number:
The place value of 5 is 500. (Hundred)
(b) 0 in 5047 ______.
Sol:
Here are the values of each number:
The value of o is 000. (Hundred)
Q2: Arrange the following numbers in ascending order:
(a) 7308, 7038, 7348, 7304
(b) 4526, 4256, 4569, 4325
Sol: Arranging numbers in ascending order means putting them in order from the smallest to the largest. Here's a step-by-step guide:
(a) 7038, 7304, 7308, 7348
(b) 4256, 4325, 4526, 4569
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
Sol:
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
Sol:
(a) 8,00,000 + 2,000 + 30 + 6 = 802036
(b) 9,00,000 + 4,000 + 200 = 904200
(c) 5,000 + 300 + 40 + 3 = 5343
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
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."
(a) 6,53,192; 6,35,294; 1,28,193; 68,156; 6,346
(b) 7,19,076; 4,54,839; 2,81,263; 2,35,245; 81,526
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.
Q8: Write the place-value of 2 in 7,52,693.
Sol: The place value of 2 in 7,52,693 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.
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1. What is the importance of understanding numbers in mathematics? |
2. How can numbers be classified based on their properties? |
3. What is the significance of place value in understanding numbers? |
4. How can numbers be represented using different number systems? |
5. How can understanding numbers help in real-life applications? |
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