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Zero as a Placeholder: Understanding Its Significance in Numerical Representation

Description: This quiz aims to assess your understanding of the significance of zero as a placeholder in numerical representation, a fundamental concept in the Indian Mathematics system.
Number of Questions: 15
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Tags: zero placeholder numerical representation indian mathematics
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In the number 305, what is the role of the zero?

  1. It indicates the absence of a digit.

  2. It separates the hundreds and tens place.

  3. It increases the value of the digit to the left.

  4. It decreases the value of the digit to the left.


Correct Option: B
Explanation:

In the number 305, the zero serves as a placeholder to separate the hundreds place (3) from the tens place (0). It indicates that there are no tens in the number.

Which of the following numbers has a zero as a placeholder?

  1. 102

  2. 200

  3. 3000

  4. 40000


Correct Option: B
Explanation:

In the number 200, the zero acts as a placeholder to indicate the absence of tens. It separates the hundreds place (2) from the units place (0).

What is the place value of the zero in the number 5002?

  1. 10

  2. 100

  3. 1000

  4. 10000


Correct Option: B
Explanation:

In the number 5002, the zero occupies the hundreds place. It indicates that there are no hundreds in the number, and it separates the thousands place (5) from the tens place (0).

In the number 7080, what is the value of the digit 8?

  1. 8

  2. 80

  3. 800

  4. 8000


Correct Option: C
Explanation:

In the number 7080, the digit 8 is in the hundreds place. Since there is a zero in the tens place, the value of the digit 8 is 800.

Which of the following numbers has the greatest value?

  1. 123

  2. 1023

  3. 1203

  4. 10023


Correct Option: D
Explanation:

The number 10023 has the greatest value because it has the largest number of digits, and the zero in the hundreds place increases the value of the digit 1 to 1000.

In the number 4050, what is the difference between the place value of the digit 4 and the place value of the digit 0?

  1. 10

  2. 100

  3. 1000

  4. 10000


Correct Option: C
Explanation:

In the number 4050, the digit 4 is in the thousands place, while the digit 0 is in the hundreds place. The difference between their place values is 1000.

Which of the following numbers has the smallest value?

  1. 100

  2. 101

  3. 110

  4. 111


Correct Option: A
Explanation:

The number 100 has the smallest value because it has the fewest digits, and the zero in the tens place decreases the value of the digit 1 to 100.

What is the expanded form of the number 3005?

  1. 3 x 1000 + 0 x 100 + 0 x 10 + 5 x 1

  2. 3 x 1000 + 0 x 100 + 5 x 10 + 0 x 1

  3. 3 x 1000 + 5 x 100 + 0 x 10 + 0 x 1

  4. 3 x 1000 + 5 x 100 + 0 x 10 + 5 x 1


Correct Option: A
Explanation:

The expanded form of 3005 is 3 x 1000 + 0 x 100 + 0 x 10 + 5 x 1, where each digit is multiplied by its respective place value.

In the number 8000, what is the value of the digit 0?

  1. 0

  2. 10

  3. 100

  4. 1000


Correct Option: A
Explanation:

In the number 8000, the digit 0 in the hundreds and tens place indicates the absence of hundreds and tens, respectively. Therefore, its value is 0.

Which of the following numbers has a zero in the tens place?

  1. 102

  2. 200

  3. 3000

  4. 40000


Correct Option: A
Explanation:

In the number 102, the zero occupies the tens place, indicating the absence of tens. It separates the hundreds place (1) from the units place (2).

What is the place value of the zero in the number 6007?

  1. 1

  2. 10

  3. 100

  4. 1000


Correct Option: B
Explanation:

In the number 6007, the zero is in the tens place. It indicates that there are no tens in the number, and it separates the hundreds place (6) from the units place (7).

In the number 9090, what is the value of the digit 9 in the tens place?

  1. 9

  2. 90

  3. 900

  4. 9000


Correct Option: B
Explanation:

In the number 9090, the digit 9 in the tens place has a value of 90. It is multiplied by its place value, which is 10, to determine its contribution to the overall value of the number.

Which of the following numbers has the greatest value?

  1. 234

  2. 2034

  3. 2304

  4. 20034


Correct Option: D
Explanation:

The number 20034 has the greatest value because it has the largest number of digits, and the zero in the thousands place increases the value of the digit 2 to 20000.

In the number 5060, what is the difference between the place value of the digit 5 and the place value of the digit 0?

  1. 10

  2. 100

  3. 1000

  4. 10000


Correct Option: C
Explanation:

In the number 5060, the digit 5 is in the thousands place, while the digit 0 is in the hundreds place. The difference between their place values is 1000.

Which of the following numbers has the smallest value?

  1. 111

  2. 110

  3. 101

  4. 100


Correct Option: D
Explanation:

The number 100 has the smallest value because it has the fewest digits, and the zero in the tens place decreases the value of the digit 1 to 100.

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