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Chapters
▶ 1: Rational and Irrational numbers
2: Parallel lines and transversal
3: Indices and Cube root
4: Altitudes and Medians of a triangle
5: Expansion formulae
Part 2
6: Factorisation of Algebraic expressions
7: Variation
8: Quadrilateral: Constructions and Types
9: Discount and Commission
Part 3
10: Division of Polynomials
11: Statistics
12: Equations in One Variable
13: Congruence of Triangles
Part 4
14: Compound Interest
15: Area
16: Surface Area and Volume
17: Circle: Chord and Arc
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Solutions for Chapter 1: Rational and Irrational numbers
Below listed, you can find solutions for Chapter 1 of Maharashtra State Board Balbharati for Mathematics Integrated [English] Standard 8 Maharashtra State Board.
Balbharati solutions for Mathematics Integrated [English] Standard 8 Maharashtra State Board 1 Rational and Irrational numbers Practice set 1.1 [Page 41]
Show the following numbers on a number line. Draw a separate number line for the example.
`3/2 , 5/2 , -3/2`
Show the following numbers on a number line. Draw a separate number line for the example.
`7/5 , (-2)/5 , (-4)/5`
Show the following numbers on a number line. Draw a separate number line for the example.
`(-5)/8 , 11/8`
Show the following numbers on a number line. Draw a separate number line for the example.
`13/10 , (-17)/10`
Observe the number line and answer the questions.
- Which number is indicated by point B?
- Which point indicates the number `1 3/4`?
- State whether the statement ‘the point D denotes the number `5/2`’ is true or false.
Balbharati solutions for Mathematics Integrated [English] Standard 8 Maharashtra State Board 1 Rational and Irrational numbers Practice Set 1.2 [Page 42]
Compare the following number.
−7, −2
Compare the following number.
`0,(-9)/5`
Compare the following number.
`8/7, 0`
Compare the following number.
`(-5)/4, 1/4`
Compare the following number.
`40/29, 141/29`
Compare the following number.
`-17/20, (-13)/20`
Compare the following number.
`15/12, 7/16`
Compare the following number.
`(-25)/8, (-9)/4`
Compare the following number.
`12/15, 3/5`
Compare the following number.
`(-7)/11, (-3)/4`
Balbharati solutions for Mathematics Integrated [English] Standard 8 Maharashtra State Board 1 Rational and Irrational numbers Practice Set 1.3 [Page 43]
Write the following rational number in decimal form.
`9/37`
Write the following rational number in decimal form.
`18/42`
Write the following rational number in decimal form.
`9/14`
Write the following rational number in decimal form.
`(-103)/5`
Write the following rational number in decimal form.
`-11/13`
Balbharati solutions for Mathematics Integrated [English] Standard 8 Maharashtra State Board 1 Rational and Irrational numbers Practice Set 1.4 [Pages 44 - 45]
The number `sqrt2` is shown on a number line. Steps are given to show `sqrt3` on the number line using `sqrt2`. Fill in the boxes properly and complete the activity.
Activity :
- The point Q on the number line shows the number ______.
- A line perpendicular to the number line is drawn through the point Q. Point R is at unit distance from Q on the line.
- Right angled ∆ORQ is obtained by drawing seg OR.
`l ("OQ") = sqrt2` , `l("QR") = 1`
`therefore` by Pythagoras theorem,
`[l("OR")]^2 = [l("OQ")]^2 + [l("QR")]^2 `
= `square^2`+ `square^2` = `square` + `square`
= `square`
∴ l(OR) = `square`
Draw an arc with centre O and radius OR. Mark the point of intersection of the line and the arc as C. The point C shows the number `sqrt3`.
Show the number √5 on the number line.
Show the number √7 on the number line.
Solutions for 1: Rational and Irrational numbers
Balbharati solutions for Mathematics Integrated [English] Standard 8 Maharashtra State Board chapter 1 - Rational and Irrational numbers
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Concepts covered in Mathematics Integrated [English] Standard 8 Maharashtra State Board chapter 1 Rational and Irrational numbers are Comparison of Rational Numbers, Rational Numbers on a Number Line, Rational Numbers, Decimal Representation of Rational Numbers, Representation of Irrational Numbers on the Number Line, Irrational Numbers and Proof of Irrationality.
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