Mathematics worksheet focusing on numbers and numeration with various exercises for students.

Worksheet 1: Numbers and Numeration

Let's solve each problem step by step.

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#### Problem 1: Write the place value of the underlined digits in the following numbers.

(a) 34281
Underlined digit: 4
Place value: The digit 4 is in the thousands place.
Answer: Thousands

(b) 4789643
Underlined digit: 8
Place value: The digit 8 is in the ten-thousands place.
Answer: Ten-thousands

(c) 1470268
Underlined digit: 7
Place value: The digit 7 is in the ten-thousands place.
Answer: Ten-thousands

(d) 319825
Underlined digit: 9
Place value: The digit 9 is in the hundreds place.
Answer: Hundreds

(e) 66163
Underlined digit: 6 (first occurrence)
Place value: The digit 6 is in the ten-thousands place.
Answer: Ten-thousands

(f) 4271995
Underlined digit: 7
Place value: The digit 7 is in the ten-thousands place.
Answer: Ten-thousands

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#### Problem 2: Write the numerals for the following number names.

(a) Fifty eight thousand eight hundred fifteen
Breakdown:
- Fifty eight thousand = 58,000
- Eight hundred = 800
- Fifteen = 15
Combine: 58,000 + 800 + 15 = 58,815
Answer: 58,815

(b) Eight lakh seven hundred eighty-four
Breakdown:
- Eight lakh = 8,00,000
- Seven hundred = 700
- Eighty-four = 84
Combine: 8,00,000 + 700 + 84 = 8,00,784
Answer: 8,00,784

(c) Nineteen thousand nineteen
Breakdown:
- Nineteen thousand = 19,000
- Nineteen = 19
Combine: 19,000 + 19 = 19,019
Answer: 19,019

(d) Sixty thousand six hundred five
Breakdown:
- Sixty thousand = 60,000
- Six hundred = 600
- Five = 5
Combine: 60,000 + 600 + 5 = 60,605
Answer: 60,605

(e) Seven lakh thirteen thousand five hundred sixty-eight
Breakdown:
- Seven lakh = 7,00,000
- Thirteen thousand = 13,000
- Five hundred = 500
- Sixty-eight = 68
Combine: 7,00,000 + 13,000 + 500 + 68 = 7,13,568
Answer: 7,13,568

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#### Problem 3: Compare the given numbers and fill in the boxes with <, >, or = sign.

(a) 4,37,005 ○ 34,71,180
Comparison:
- 4,37,005 has 6 digits.
- 34,71,180 has 7 digits.
Since 34,71,180 is larger,
Answer: <

(b) 95,212 ○ 95,122
Comparison:
- Both numbers have the same first three digits (95,1).
- In the next digit, 2 > 1.
So, 95,212 is larger.
Answer: >

(c) 37,450 ○ 37,405
Comparison:
- Both numbers have the same first three digits (37,4).
- In the next digit, 5 > 0.
So, 37,450 is larger.
Answer: >

(d) 3,00,715 ○ 3,00,715
Comparison:
- Both numbers are identical.
Answer: =

(e) 81,576 ○ 81,576
Comparison:
- Both numbers are identical.
Answer: =

(f) 10,010 ○ 11,001
Comparison:
- Both numbers have the same first two digits (10).
- In the next digit, 0 < 1.
So, 10,010 is smaller.
Answer: <

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#### Problem 4: Fill in the missing numbers.

(a) 8752 = _ thousands + _ hundreds + _ tens + _ ones
Breakdown:
- Thousands place: 8
- Hundreds place: 7
- Tens place: 5
- Ones place: 2
Answer: 8 thousands + 7 hundreds + 5 tens + 2 ones

(b) 3645 = _ thousands + _ hundreds + _ tens + _ ones
Breakdown:
- Thousands place: 3
- Hundreds place: 6
- Tens place: 4
- Ones place: 5
Answer: 3 thousands + 6 hundreds + 4 tens + 5 ones

(c) 35,788 = _ thousands + _ hundreds + _ tens + _ ones
Breakdown:
- Thousands place: 35
- Hundreds place: 7
- Tens place: 8
- Ones place: 8
Answer: 35 thousands + 7 hundreds + 8 tens + 8 ones

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Final Answers:

1.
(a) Thousands
(b) Ten-thousands
(c) Ten-thousands
(d) Hundreds
(e) Ten-thousands
(f) Ten-thousands

2.
(a) 58,815
(b) 8,00,784
(c) 19,019
(d) 60,605
(e) 7,13,568

3.
(a) <
(b) >
(c) >
(d) =
(e) =
(f) <

4.
(a) 8 thousands + 7 hundreds + 5 tens + 2 ones
(b) 3 thousands + 6 hundreds + 4 tens + 5 ones
(c) 35 thousands + 7 hundreds + 8 tens + 8 ones

Boxed Final Answer:
\[
\boxed{
\begin{array}{l}
\text{1. (a) Thousands, (b) Ten-thousands, (c) Ten-thousands, (d) Hundreds, (e) Ten-thousands, (f) Ten-thousands} \\
\text{2. (a) 58,815, (b) 8,00,784, (c) 19,019, (d) 60,605, (e) 7,13,568} \\
\text{3. (a) <, (b) >, (c) >, (d) =, (e) =, (f) <} \\
\text{4. (a) 8 thousands + 7 hundreds + 5 tens + 2 ones, (b) 3 thousands + 6 hundreds + 4 tens + 5 ones, (c) 35 thousands + 7 hundreds + 8 tens + 8 ones}
\end{array}
}
\]