Question

W worksheet:
Fill in the Blanks :
1) Mathematics is the study of
11) 1,2,3,4,5.......... numbers are known as
iii) 0,1,2,3,4 ........numbers are known as
iv)...-4,-3, -2,-1,0, +1,42,43,44 ......are known as
v) Zero is neither
or
vi) One million four hundred and eight thousand, nine hundred and fifty seven
(Write in numeral)
vii) Seventy lakh, eighty three thousand seven hundred and nine
(Write in numeral)
viii) The place value of a digit depends on its
numbers.
in the number in relation to other
ix) The face value is of a digit in a number is the
itself.
x) If a number's face value and place value are same, then it is in the
place.​

Answer 1

(i) Mathematic is the study of formulae

(ii) Natural number

(iii) whole number

(iv) integer

(v) positive or negative

(vi)1000400 and 8957

(vii) 7083709

Answer 2

Answer:

Concept:

1. Mathematics:

• Mathematics is a field of study that covers concepts like numbers, formulas, related structures, shapes, and the spaces, and quantities and their changes.
• The majority of mathematical work entails using pure reasoning to discover and demonstrate properties of abstract objects.

2. Natural Numbers:

• Natural numbers, which include the range of positive integers from 1 to infinity, are also known as "counting numbers."
• The letter "N" stands for the set of natural numbers.
• The definition of the natural number set is: N = {1, 2, 3, 4, 5, ……….}

3. Whole Numbers

• Natural numbers with a zero also refer to whole numbers.
• The set is made up of non-negative integers without any fractional or decimal parts.
• The letter "W" stands for the whole number set. The definition of the natural number set is: W = {0,1, 2, 3, 4, 5, ……….}

4. Integers:

• The set of all whole numbers and a set of natural numbers with negative values is known as an integer.
• The letter "Z" stands for the integer set.
• The definition of the set of integers is: Z = {-3, -2, -1, 0, 1, 2, 3}.

5. Zero:

• Zero indicates that there is no quantity.
• Additionally, it serves as a "placeholder" while we correctly write a numeral.
• The number zero is very unique.
• On the Number Line, it is situated halfway between 1 and +1.
• Zero is neither a positive nor negative number. It is an even number, though.

6. Numeral:

• 1 million - 1,000,000
• 4 hundred and 8 thousand - 408,000
• nine hundred and fifty seven - 957

7. Place Value:

• The value of each digit in a number is known as place value.
• Each digit in a number has a unique value depending on where it is in the number.
• The value of a digit depends on its position in the number, which can result in a number having two similar digits with different values.

8. Face Value:

• Any number's digit's face value is the digit itself.
• Example: Face value of 9 in number 98765 is 9.

9. Place Value and Face Value:

• At one's place, the place value and face value are always equal.
• A number's face value is its actual value as a digit or numeral.
• Example: Face value and Place value of 5 in number 12365 is 5.

Therefore,

1. Mathematics is the study of quality, structure, space, and change.
2. 1,2,3,4,5...…. numbers are known as Natural numbers.
3. 0,1,2,3,4 …..numbers are known as Whole numbers.
4. ..-4,-3, -2,-1,0, +1,42,43,44 …are known as Integers.
5. Zero is neither Positive or Negative.
6. One million four hundred and eight thousand, nine hundred and fifty seven - 1,408,957
7. The place value of a digit depends on its place or position in the number in relation to other.
8. The face value of a digit in a number is the digit itself.
9. If a number's face value and place value are same, then it is in the one's place.​

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