Rational number are closed under the operations of addition, subtraction and ____
) Additive identity of rational number is _____
) The rational number ____is the multiplicative identity for rational numbers
) Between any two rational numbers there are ____many rational numbers.
) The product of a non-zero rational number and its reciprocal is ____
) find 5/12 + 3/8
) Write the additive inverse of 2/7
) What is the multiplicative inverse of 2/7
) if 2/3(3/4+4/7)= 2/3 x 3/4 + 2/3 x 4/7. State the law/property used...
) How many rational numbers can lie between 2 and 3?
) What is the multiplicative inverse of - 16/7
) The product of two rational numbers is 15/11. If one rational number is 5/9, then find the other.
) What is the value of (2/3+ 3/4)+ 1/4?
) A designer needs 3/5 metre of cloth to make fancy dress for each child taking part in a dance performance. If 200 children are taking part, how much cloth will the designer need?
) Find a rational number between 1/2 and 1/4 such that its denominator is 8.
) State the law in the given expression.
(-2/3) x[(-3/4) x 5/7]= [-2/3 x (-3/4)] x 5/7
) Find the Multiplicative inverse of -13/16
) What number will come in the blank box such that the fraction becomes equivalent? A) 18/__ = 162/342 B) 14/_ = 56/140
) In a/b + c/d = c/d + a/b which property is being described here.
) Find 6 rational number between 2 and 3.
) Represent 7/4 on a number line.
) Find the Multiplicative inverse of -13
) Multiply 6/7 with the Multiplicative inverse of 8/15
) If 3/4 cup of water is required to make a cup of tea, find the total quantity of water required for 24 cups of tea.
) Divide the sum of -3/4 and -5/12 by their product.
) By what number should the sum of 18/5 and -7/15 be divided to get 47/6 ?
) Which of the following is not a rational number?
a) 5/7 b) -3/4 c) 4/7 d) 3/0
1) Find y if 13/11 x 22/39 x y= 1/9.
a) 1/6 b) 6/1 c) 1/3 d) 1/9
) If a and b are rational numbers then which is not always true?
a) a+ b is a rational number.
b) a- b is a rational number.
c) ax b is a rational number.
d) a/b is a rational number.
) Complete the following 3/7 + __= 0
a) 3/7 b) 7/3 c) -3/7 d) -7/3
) Find a: 3/7 x a/7 x 7/45 =1/21.
a) 155620
) What is the value of 1/2 + 1/2 ÷ 1/2.
a) 2/3 b) 3/2 c) 9/2 d) 4/3
) Find y: -3/2+ 7/5= y - 3/2.
a) 5/7 b) 3/7 c) 7/5 d) 5/7
Assertion -Reasoning
Case Study
Exponential
) 2⁵+ 5²
) If 2ˣ . 5ˣ = 10000 find x
) If 2³ˣ = 64, find x.
) Find the missing number x in 5² + x² = 13²
) Find the value of x of (-2)³ˣ⁺¹ . (-2)⁴ = (-2)⁸.
) Find the value of (6⁷ - 6⁹)/6⁵
) Express 41870000000 in standard form.
) Express 5. 10⁻³ in general form
) Simplify (49. x⁻⁴)/(7⁻³. 14. x⁻⁸)
) Find n so that (2/5)³ (2/5)⁻⁸ = (2/5)²ⁿ⁻¹
) Solve for x if (18)¹⁰= 4⁵. 3ˣ
) Find the value of (1/2)⁻² + (1/3)⁻² + (1/4)⁻²
a) 30 b) 29 c) 25 d) 27
) Find the value of (8⁹ - 8⁷)/8⁶
a) 504 b) 505 c) 508 d) 501
) Solve: (-3)²ⁿ⁺¹. (-3)³= (-3)¹²
a) 4 b) 5 c) 3 d) 1
) Solve: (3⁻⁴ . 10⁻⁵ . 25)/(5⁻⁷. 6⁻⁴)
a) 225/2 b) 825/2 c) 625/2 d) 525/2
) Express (19/27)⁻² with positive exponent.
) Find the value of: (1/2)⁻² + (1/3)⁻⁴ + (1/4)⁻³ + (1/5)⁰.
) Find the value of x⁻² of x = (-3/7)⁻⁵ ÷(11/14)⁰
) By what number (-7)⁻¹ be divided so that the quotient is 5⁻¹
) Express 9368/8.329 into standard form.
) According to 2011 census, male population in India was 623700000 as compared to female population 586500000. Express their sum in standard form.
) Find x if (-3)ˣ⁺¹ ⁶⁷⁻⁵⁻¹⁰⁰ ⁿⁿⁿ⁺¹ⁿ⁺¹ⁿ⁺²ⁿ⁺²ⁿ⁺³ⁿ⁺³⁷⁴⁷⁺⁴¹¹ᵖᑫᵖ⁺ᑫ ⁷⁴⁷⁾⁴ᵖᑫᵖ⁻⁴⁴⁴⁴ⁿⁿⁿ⁻³⁻²ᵖᑫᵖ⁻ᑫᑫ ⁴⁻⁴ⁿ⁻ⁿ
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