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The terms of expression 4x² – 3xy are: (a) 4x² and –3xy (b) 4x² and 3xy (c) 4x² and –xy (d) x² and xy

Answer: (a) 4x2 and - 3xy Terms in the expression 4x2 - 3xy are 4x2 and -3xy. A polynomial is defined as an expression that is composed of... View Article

Number of terms in the expression 3x²y – 2y²z – z²x + 5 is (a) 2 (b) 3 (c) 4 (d) 5

Answer: (c) 4 In the above-given expression, there are 4 terms. A polynomial is defined as an expression that is composed of variables,... View Article

An algebraic expression containing three terms is called a (a) monomial (b) binomial (c) trinomial (d) All of these

Answer: (c) trinomial A polynomial is defined as an expression that is composed of variables, constants and exponents, that are combined using... View Article

State whether the given statement is True or False: 4² is greater than 2⁴.

Answer: 42 is greater than 24 - False 42 = 4 × 4 = 16 24 = 2 × 2 × 2 × 2 = 16 Therefore, 42 = 24 An exponent of a... View Article

State whether the given statement is True or False: In the standard form, a large number can be expressed as a decimal number between 0 and 1, multiplied by a power of 10.

Answer: In the standard form, a large number can be expressed as a decimal number between 0 and 1, multiplied by a power of 10 - False Any... View Article

State whether the given statement is True or False: x⁰ × x⁰ = x⁰ ÷ x⁰ is true for all non-zero values of x.

Answer: x0 × x0 = x0 ÷ x0 is true for all non-zero values of x - True we know that, x0 = 1 so, x0 × x0 = 1 × 1 = 1 x0... View Article

State whether the given statement is True or False: (10 + 10)¹⁰ = 10¹⁰ + 10¹⁰

Answer: (10 + 10)10 = 1010 + 1010 - False For any non-zero integers ‘a’ and ‘b’ and whole numbers m and n, am × an... View Article

State whether the given statement is True or False: (-3/5)¹⁰⁰ = (-3¹⁰⁰/-5¹⁰⁰)

Answer: (-3/5)100 = (-3100/-5100) - True Consider the LHS LHS = (-3/5)100 -3 can be written as = (-1 × 3) So, ((-1 × 3)/5)100 =... View Article

State whether the given statement is True or False: 3⁴ > 4³

Answer: 34 > 43 - True 34 = 3 × 3 × 3 × 3 = 81 43 = 4 × 4 × 4 = 64 Therefore, 81 > 64 An exponent of a... View Article

State whether the given statement is True or False: (-3)⁴ = – 12

Answer: (-3)4 = – 12 - False (-3)4 = -3 × -3 × -3 × -3 (-3)4 = 81 So, 81 ≠ – 12 An exponent of a number... View Article

State whether the given statement is True or False: 1⁰ × 0¹ = 1

Answer: 10 × 01 = 1 - False 10 = 1 01 = 0 So, 1 × 0 = 0 An exponent of a number represents the number of times the number is... View Article

State whether the given statement is True or False: One hour = 60² seconds

Answer: One hour = 602 seconds - True We know that, 1 hour = 60 minutes 1 minutes = 60 seconds Therefore, 1 hour = 60 × 60 1 hour = 3600... View Article

State whether the given statement is True or False: One million = 10⁷

Answer: One million = 107 - False We know that, 1 million = 10,00,000 1 million = 106 An exponent of a number represents the number of times... View Article

Fill in the blanks with <, > or = sign: 6³ _____4⁴

Answer: 63< 44 Where, 63 = 6 × 6 × 6 = 216 44 = 4 × 4 × 4 × 4 = 256 Therefore, 216 < 256 An exponent of a... View Article

Fill in the blanks with <, > or = sign: 10,000 ______ 10⁵

Answer: 10,000 < 100000 Where, 10 × 10 × 10 × 10 × 10= 100000 Therefore, 10,000 < 100000 An exponent of a number... View Article

Fill in the blanks with <, > or = sign: 7⁴ ______5⁴

Answer: 74> 54 Where, 74 = 7 × 7 × 7 × 7 = 2401 5 × 5 × 5 × 5 = 625 Therefore, 2401 > 625 An... View Article

Fill in the blanks with <, > or = sign: 2³ ______ 3²

Answer: 23< 32 Where, 23 = 2 × 2 × 2 = 8 32 = 3 × 3 = 9 Therefore, 8 < 9 An exponent of a number represents the number... View Article

Fill in the blanks with <, > or = sign: 3² ______15

Answer: 32< 15 Where, 32 = 3 × 3 = 9 Therefore, 9 < 15 An exponent of a number represents the number of times the number is... View Article

Fill in the blanks to make the statement true: 340900000 = 3.409 × 10––––

Answer: 340900000 = 3.409 × 108 Any number can be expressed as a decimal number between 1.0 and 10.0 including 1.0 multiplied by a power... View Article

Fill in the blanks to make the statement true: 27500000 = 2.75 × 10––––

Answer: 27500000 = 2.75 × 107 Any number can be expressed as a decimal number between 1.0 and 10.0 including 1.0 multiplied by a power of... View Article

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