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1 is the smallest number which is neither _____ nor a _______ number.
The smallest number which is neither prime nor composite is 1.
1 is the HCF of two ________ numbers
The set of numbers which has common factor as 1 are called coprime.
So 1 is the HCF of two coprime numbers.
The predecessor of the smallest prime number is
We know that the smallest prime number is 2
Predecessor of 2 = 2 1 = 1
The product of the predecessor and successor of an odd natural number is
Consider an odd natural number = 3
Predecessor of 3 = 3 − 1 = 2
Successor of 3 = 3 + 1 = 4
Product between them =
Hence, the product is an even number.
The product of the successor and predecessor of 999 is
Successor of 999 = 999+1=1000
Predecessor of 999 = 9991=998
Product =
The successor of 1 billion is
1 billion = 1,000,000,000
Successor of 1 billion = 1,000,000,000+1=1,000,000,001
Which of the following operations satisfies the closure property for whole numbers?
Whole numbers are closed under addition and also under multiplication.
Study the following pattern:
\(\begin{array}{*{20}{l}}{2{\rm{ }} + {\rm{ }}3{\rm{ }} = {\rm{ }}2{\rm{ }} \times {\rm{ }}2 + 1}\\{2{\rm{ }} + {\rm{ }}3{\rm{ }} + {\rm{ }}5{\rm{ }} = {\rm{ }}3{\rm{ }} \times {\rm{ }}3{\rm{ }} + {\rm{ }}1}\\{2{\rm{ }} + {\rm{ }}3{\rm{ }} + {\rm{ }}5{\rm{ }} + {\rm{ }}7{\rm{ }} = {\rm{ }}4{\rm{ }} \times {\rm{ }}4 + 1}\\{2{\rm{ }} + {\rm{ }}3{\rm{ }} + {\rm{ }}5{\rm{ }} + {\rm{ }}7{\rm{ }} + {\rm{ }}9{\rm{ }} = {\rm{ }}5{\rm{ }} \times {\rm{ }}5 + 1}\end{array}\)
By observing the above pattern
(2 + 3 + 5 + 7 + 9 + 11 )= ?
Find a number which when divided by 35 gives the quotient 20 and remainder 18.
Dividend= Divisor Quotient + Remainder
Substitute value
Dividend
Commutative law does not work for?
Commutative law does not work when we subtract or divide.
There are 500 red balls in a basket. A boy takes out 10 red balls from it and replaces them by 22 white balls. He continues to do so, till all red balls are replaced by white balls. Then the number of white balls put in the basket is_______
According to question,
10 red balls ≡ 22 white balls
1 red ball = white balls
red balls = white balls
Hence, 500 red balls = 1,100 white balls
Which of the following properties are NOT applicable to the division of whole numbers?
Whole numbers are not closed, commutative and associative under division.
The number 6 cannot be shown as a
6 can be shown as line, rectangle and triangle but not as square.
When 1 is subtracted from a number, we get its_______.
A predecessor of any number is the past number to it, which is acquired by taking away .
What is the quotient of \(84 \div 1\) ?
A number divided by 1 is the number itself.
What is the additive identity element of 36?
Additive identity of any number is 0. Additive identity is addition of a number with its additive inverse.
Which of the following set of numbers will make the number sentence true ___________ +___________ = 26
Natural number is contained in _____ number.
Natural number is contained in whole number.
\({\rm{6 }} \times {\rm{ 8 }} = {\rm{ 8 }} \times {\rm{ 6}}\) is known as
Addition and multiplication are commutative for whole numbers. i.e., whole numbers can be added or multiplied in any order.
3 is the first ________ Number.
3 is the first triangular number.