Archives

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

Fill in the blanks to make the statement true: 88880000000 = ––– × 10¹⁰

Answer: 88880000000 = 8.888 × 1010 Any number can be expressed as a decimal number between 1.0 and 10.0 including 1.0 multiplied by a... View Article

Fill in the blanks to make the statement true: 53700000 = ––– × 10⁷

Answer: 53700000 = 5.37 × 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

Fill in the blanks to make the statement true: 432 = 2⁴ × 3_______

Answer: 432 = 24 × 33 The factors of 432 are 432 = 2 × 2 × 2 × 2 × 3 × 3 × 3 ∴ 432 = 24 ×... View Article

Fill in the blanks to make the statement true: 729 = 3_______

Answer: 729 = 36 Factors of 729 = 3 × 3 × 3 × 3 × 3 × 3 729 = 36 An exponent of a number represents the... View Article

Fill in the blanks to make the statement true: 1 million = 10________

Answer: 1 million = 106 Any number can be expressed as a decimal number between 1.0 and 10.0 including 1.0 multiplied by a power of 10. Such a... View Article

M	T	W	T	F	S	S
1	2	3	4	5	6	7
8	9	10	11	12	13	14
15	16	17	18	19	20	21
22	23	24	25	26	27	28
29	30