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![Balbharati solutions for Algebra (Mathematics 1) [English] 9 Standard Maharashtra State Board chapter 2 - Real Numbers - Shaalaa.com](/images/algebra-mathematics-1-english-9-standard-maharashtra-state-board_6:18f77abdc445452ba93010117dde4a16.jpg "Balbharati solutions for Algebra (Mathematics 1) [English] 9 Standard Maharashtra State Board chapter 2 - Real Numbers")
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Solutions for Chapter 2: Real Numbers
Below listed, you can find solutions for Chapter 2 of Maharashtra State Board Balbharati for Algebra (Mathematics 1) [English] 9 Standard Maharashtra State Board.
Balbharati solutions for Algebra (Mathematics 1) [English] 9 Standard Maharashtra State Board 2 Real Numbers Practice Set 2.1 [Page 21]
Classify the decimal form of the given rational number into terminating and non-terminating recurring type.
`13/5`
Classify the decimal form of the given rational number into terminating and non-terminating recurring type.
`2/11`
Classify the decimal form of the given rational number into terminating and non-terminating recurring type.
`29/16`
Classify the decimal form of the given rational number into terminating and non-terminating recurring type.
`17/125`
Classify the decimal form of the given rational numbers into terminating and non-terminating recurring type.
`11/6`
Write the following rational number in decimal form.
`127/200`
Write the following rational number in decimal form.
`25/99`
Write the following rational number in decimal form.
`23/7`
Write the following rational number in decimal form.
`4/5`
Write the following rational number in decimal form.
`17/8`
Write the following rational numbers in `bb(p/q)` form.
\[\ce{0.\overset{\bullet}{6}}\]
Write the following rational number in `p/q` form.
0.37
Write the following rational numbers in `p/q` form.
3.17
Write the following rational number in `p/q` form.
15.89
Write the following rational number in `bb(p/q)` form.
2.514
Balbharati solutions for Algebra (Mathematics 1) [English] 9 Standard Maharashtra State Board 2 Real Numbers Practice Set 2.2 [Page 25]
Show that `4sqrt2` is an irrational number.
Prove that 3 +`sqrt 5` is an irrational number.
Represent the numbers `sqrt 5` and `sqrt 10` on a number line.
Write any three rational number between the two number given below.
0.3 and -0.5
Write any three rational numbers between the two numbers given below.
−2.3 and −2.33
Write any three rational number between the two number given below.
5.2 and 5.3
Write any three rational numbers between the two number given below.
-4.5 and -4.6
Balbharati solutions for Algebra (Mathematics 1) [English] 9 Standard Maharashtra State Board 2 Real Numbers Practice Set 2.3 [Page 30]
State the order of the surd given below.
`root (3)(7)`
State the order of the surd given below.
`5 sqrt 12`
State the order of the surd given below.
`root (4)(10)`
State the order of the surd given below.
`sqrt 39`
State the order of the surd given below.
`root (3)(18)`
State whether the following number is a surd or not.
`root (3)(51)`
State whether the following number is a surd or not.
`root (4)(16)`
State whether the following number is a surd or not.
`root (5)(81)`
State whether the following number is a surd or not.
`sqrt 256`
State whether the following number is a surd or not.
`root (3)(64)`
State whether the following number is a surd or not.
`sqrt (22/7)`
Classify the given pair of surds into like surd and unlike surd.
`sqrt 52, 5 sqrt13`
Classify the given pair of surds into like surd and unlike surd.
`sqrt 68, 5 sqrt3`
Classify the given pair of surds into like surd and unlike surd.
`4 sqrt 18 , 7 sqrt 2`
Classify the given pair of surds into like surd and unlike surd.
`19 sqrt 12 , 6 sqrt 3`
Classify the given pair of surds into like surd and unlike surd.
`5 sqrt 22 , 7 sqrt 33`
Classify the Given Pair of Surds into like Surd and Unlike Surd.
`5sqrt 5, sqrt 75`
Simplify the following surd.
`sqrt 27`
Simplify the following surd.
`sqrt 50`
Simplify the following surd.
`sqrt 250`
Simplify the following surd.
`sqrt 112`
Simplify the following surd.
`sqrt 168`
Compare the following pair of surd.
`7sqrt2, 5 sqrt 3`
Compare the following pair of surd.
`sqrt 247, sqrt 274`
Compare the following pair of surd.
`2sqrt 7, sqrt 28`
Compare the following pair of surd.
`5 sqrt 5, 7 sqrt 2`
Compare the following pair of surd.
`4 sqrt 42, 9 sqrt 2`
Compare the following pair of surd.
`5 sqrt 3, 9`
Compare the following pair of surd.
`7, 2 sqrt 5`
Simplify.
`5 sqrt 3 + 8 sqrt 3`
Simplify.
`9 sqrt 5 - 4 sqrt 5 + sqrt 125`
Simplify.
`7 sqrt 48 - sqrt 27 - sqrt 3`
Simplify.
`sqrt 7 - 3/5 sqrt 7 + 2 sqrt 7`
Multiply and write the answer in the simplest form.
`3 sqrt 12 xx sqrt 18`
Multiply and write the answer in the simplest form.
`3sqrt 12 xx 7 sqrt 15`
Multiply and write the answer in the simplest form.
`3sqrt8 xx sqrt5`
Multiply and write the answer in the simplest form.
`5 sqrt 8 xx 2 sqrt 8`
Divide and write the answer in simplest form.
`sqrt98 ÷ sqrt 2`
Divide and write the answer in simplest form.
`sqrt 125 ÷ sqrt 50`
Divide and write the answer in simplest form.
`sqrt 54 ÷ sqrt 27`
Divide and write the answer in simplest form.
`sqrt 310 ÷ sqrt 5`
Rationalize the denominator.
`3 /sqrt5`
Rationalize the denominator.
`1/sqrt14`
Rationalize the denominator.
`5/sqrt 7`
Rationalize the denominator.
`6/(9sqrt 3)`
Rationalize the denominator.
`11 / sqrt 3`
Balbharati solutions for Algebra (Mathematics 1) [English] 9 Standard Maharashtra State Board 2 Real Numbers Practice Set 2.4 [Page 32]
Multiply
`sqrt3 (sqrt 7 - sqrt 3)`
Multiply.
`(sqrt 5 - sqrt 7) sqrt 2`
Multiply.
`(3sqrt2 - sqrt 3) (4sqrt3 - sqrt 2)`
Rationalize the denominator.
`1/(sqrt 7 + sqrt 2)`
Rationalize the denominator.
`3/(2 sqrt 5 - 3 sqrt 2)`
Rationalize the denominator.
`4/(7+ 4 sqrt3)`
Rationalize the denominator.
`(sqrt 5 - sqrt 3)/(sqrt 5 + sqrt 3)`
Balbharati solutions for Algebra (Mathematics 1) [English] 9 Standard Maharashtra State Board 2 Real Numbers Practice Set 2.5 [Page 33]
Find the value.
`|15 - 2|`
Find the value.
`|4 - 9|`
Find the value.
`|7| xx |-4|`
Solve.
`|3x - 5| = 1`
Solve.
`|7 - 2x | = 5`
Solve.
`|(8 - x)/2| = 5`
Solve.
`|5 + x/ 4| = 5`
Balbharati solutions for Algebra (Mathematics 1) [English] 9 Standard Maharashtra State Board 2 Real Numbers Problem Set 2 [Pages 34 - 35]
Choose the correct alternative answer for the question given below.
Which one of the following is an irrational number?
`sqrt (16/25)`
`sqrt 5`
`3/9`
`sqrt 196`
Which of the following is an irrational number?
0.17
1.513
0.2746
0.101001000.....
Decimal expansion of which of the following is non-terminating recurring?
`2/5`
`3/16`
`3/11`
`137/25`
Every point on the number line represent, which of the following numbers?
Natural numbers
Irrational numbers
Rational numbers
Real numbers
The number \[\ce{0.\overset{\bullet}{4}}\] in `p/q` form is ______.
`4/9`
`40/9`
`3.6/9`
`36/9`
What is `sqrt n`, if n is not a perfect square number?
Natural number
Rational number
Irrational number
Options A, B, C all are correct.
Which of the following is not a surd?
`sqrt 7`
`root (3)(17)`
`root (3)(64)`
`sqrt 193`
What is the order of the surd `root (3)sqrt (5)`?
3
2
6
5
Which one is the conjugate pair of `2 sqrt 5 + sqrt 3`?
`-2sqrt5 + sqrt 3`
`-2sqrt 5 - sqrt 3`
`2 sqrt 3 - sqrt 5`
`sqrt 3 + 2 sqrt 5`
The value of `|12 - (13 + 7) xx 4|` is ______.
-68
68
-32
32
Write the following number in `p/q` form.
0.555
Write the following number in `bb("p"/"q")` form.
29.568
Write the following number in `bb("p"/"q")` form.
9.315315...
Write the following numbers in `bb("p"/"q")` form.
357.417417...
Write the following numbers in `bb("p"/"q")` form.
30.219
Write the following number in its decimal form.
`(-5)/7`
Write the following number in its decimal form.
`9/11`
Write the following number in its decimal form.
`sqrt 5`
Write the following number in its decimal form.
`121/13`
Write the following number in its decimal form.
`29/8`
Show that `5 +sqrt 7` is an irrational number.
Write the following surd in simplest form.
`3/4 sqrt 8`
Write the following surd in simplest form.
`-5/9 sqrt 45`
Write the simplest form of rationalising factor for the given surd.
`sqrt 32`
Write the simplest form of rationalising factor for the given surd.
`sqrt 50`
Write the simplest form of rationalising factor for the given surd.
`sqrt 27`
Write the simplest form of rationalising factor for the given surd.
`3/5 sqrt 10`
Write the simplest form of rationalising factor for the given surd.
`3 sqrt 72`
Write the simplest form of rationalising factor for the given surd.
`4 sqrt 11`
Simplify.
`4/7 sqrt 147 + 3/8 sqrt 192 - 1/5 sqrt 75`
Simplify.
`5sqrt 3 + 2 sqrt 27 +1/sqrt3`
Simplify.
`sqrt 216 - 5 sqrt 6 +sqrt 294 -3/sqrt6`
Simplify.
`4 sqrt 12 - sqrt 75 - 7 sqrt 48`
Simplify.
`2 sqrt 48 - sqrt 75 - 1/ sqrt 3`
Rationalize the denominator.
`1/sqrt5`
Rationalize the denominator.
`2/(3 sqrt 7)`
Rationalize the denominator.
`1/(sqrt 3 - sqrt 2)`
Rationalize the denominator.
`1/(3 sqrt 5 + 2 sqrt 2)`
Rationalize the denominator.
`12/(4sqrt3 - sqrt 2)`
Solutions for 2: Real Numbers
Balbharati solutions for Algebra (Mathematics 1) [English] 9 Standard Maharashtra State Board chapter 2 - Real Numbers
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Concepts covered in Algebra (Mathematics 1) [English] 9 Standard Maharashtra State Board chapter 2 Real Numbers are Rational Numbers, Decimal Representation to Identify Irrational Numbers, Properties of Order Relation on Real Numbers, Decimal Representation of Rational Numbers, Simplification of Surds, Absolute Value of Real Numbers, Properties of Rational Numbers, Commutative Property of Rational Numbers, Associative Property of Rational Numbers, Identity of Addition and Multiplication of Rational Numbers, Negative Or Additive Inverse of Rational Numbers, Irrational and Real Numbers, Square Root of Decimal Numbers, Square Root of a Negative Number, Root of Positive Rational Number, Surds, Types of Surds, Comparison of Surds, Operations on Surds, Rationalisation of Surds, Binomial Quadratic Surd, Simplifying an Expression by Rationalization of the Denominator.
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