📄 GuideFind the values using suitable identities: Class 9
Find the values using suitable identities: Class 9Question 1. Find the values using suitable identit
📄 GuideUse suitable identities to find the following products: Class 9
Use suitable identities to find the following products: Class 9Question 1.Use suitable identities to
📄 GuideSimplify the following rational expressions assuming that the expressions in the denominators are not equal to zero: Class 9
Simplify the following rational expressions assuming that the expressions in the denominators are no
📄 GuideTry to simplify the following rational expression: Class 9
Try to simplify the following rational expression: Class 9Question 1.Try to simplify the following r
📄 GuideWe already know that x² - y² = (x - y) (x + y). Further, we have verified that x^3 - y^3 = (x - y) (x² + xy + y²). Class 9
We already know that x² - y² = (x - y) (x + y). Further, we have verified that x^3 - y^3 = (x - y) (
📄 GuideVerify (x - y) (x² + xy + y²) = x^3 - y^3 by choosing different values of x and y. Class 9
Verify (x - y) (x² + xy + y²) = x3 - y3 by choosing different values of x and y. Class 9Question 1.V
📄 GuideJames and Reshma were talking about algebraic identities they learnt in school. James Class 9
James and Reshma were talking about algebraic identities they learnt in school. James Class 9Questio
📄 GuideFactor the following: i. 9a² + b² + 4c² - 6ab +12ac - 4bc ii. 16s² + 25t² - 40st Class 9
Factor the following: i. 9a² + b² + 4c² - 6ab +12ac - 4bc ii. 16s² + 25t² - 40st Class 9Question 1.F
📄 GuideSelect and use the identity that will help you to find the following products without multiplying directly: Class 9
Select and use the identity that will help you to find the following products without multiplying di
📄 GuideFill in the blanks to complete the following identities: Class 9
Fill in the blanks to complete the following identities: Class 9Question 1. Fill in the blanks to co
📄 GuideConsider the case where we have a rectangle of side lengths 2x + 3 and 3x + 1, as shown in the figure. Class 9
Consider the case where we have a rectangle of side lengths 2x + 3 and 3x + 1, as shown in the figur
📄 GuideAlgebra tiles can be used to represent products and find factors. Class 9
Algebra tiles can be used to represent products and find factors. Class 9Question 1.Algebra tiles ca
📄 GuideSuppose 7x is split as 2x + 5x; can a similar rectangular arrangement be formed? Consider other possibilities Class 9
Suppose 7x is split as 2x + 5x; can a similar rectangular arrangement be formed? Consider other poss
📄 GuideObserve the two rows of figures below. They represent an algebraic identity. Try to identify it. Class 9
Observe the two rows of figures below. They represent an algebraic identity. Try to identify it. Cla
📄 GuideTry to evaluate the following using a suitable identity: Class 9
Try to evaluate the following using a suitable identity: Class 9Question 1.Try to evaluate the follo
📄 GuideLook at the following figure. Justify the identity a² = (a + b)(a - b) + b² for yourself. Class 9
Look at the following figure. Justify the identity a² = (a + b)(a - b) + b² for yourself. Class 9Que
📄 GuideExpand the following using the identity (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca: Class 9
Expand the following using the identity (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca: Class 9Questi
📄 GuideFactor using suitable identities: i. 16y² - 24y + 9 Class 9
Factor using suitable identities: i. 16y² - 24y + 9 Class 9Question 1.Factor using suitable identiti
📄 GuideFind the following squares using one of the above identities. Determine which of these identities Class 9
Find the following squares using one of the above identities. Determine which of these identities Cl
📄 GuideLabel the squares and rectangles in Fig 4.4 so that it represents the identity Class 9
Label the squares and rectangles in Fig 4.4 so that it represents the identity Class 9Question 1.Lab
📄 GuideFind the values of the following using the identity (a - b)² = a² - 2ab + b². Class 9
Find the values of the following using the identity (a - b)² = a² - 2ab + b². Class 9Question 1.Find
📄 GuideFactor completely: i. 9x² + 24xy + 16y² ii. 4s² + 20st + 25t² iii. 49x² + 28xy + 4y² Class 9
Factor completely: i. 9x² + 24xy + 16y² ii. 4s² + 20st + 25t² iii. 49x² + 28xy + 4y² Class 9Question
📄 GuideWhat if we replace b by - b in (a + b)² = a² + 2ab + b²? Class 9
What if we replace b by - b in (a + b)² = a² + 2ab + b²? Class 9Question 2.What if we replace b by -
📄 GuideUsing the same identity, find the values of the following: Class 9
Using the same identity, find the values of the following: Class 9Question 1. Using the same identit
📄 GuideUsing the identity (a + b)² = a² + 2ab + b², expand the following: Class 9
Using the identity (a + b)² = a² + 2ab + b², expand the following: Class 9Question 1.Using the ident
📄 GuideWhat can you say about a and b if (a + b)² > a² + b²? Class 9
What can you say about a and b if (a + b)² > a² + b²? Class 9Question 1.What can you say about a
📄 GuideIf a = 10 and b = 2, what are the values of (a + b)² and a² + b²? (a + b)² = (10 + 2)² = 12² = 144 Class 9
If a = 10 and b = 2, what are the values of (a + b)² and a² + b²? (a + b)² = (10 + 2)² = 12² = 144 C
📄 GuideTry and find other patterns like this one. For example, you could consider 4 consecutive squares Class 9
Try and find other patterns like this one. For example, you could consider 4 consecutive squares Cla
📄 GuideFind the lengths of the hypotenuses of all the right triangles in the given figure which is referred to as the square root spiral. Class 9
Find the lengths of the hypotenuses of all the right triangles in the given figure which is referred
📄 GuideShow that the rational number a+b/2 lies between the rational numbers a and b. Class 9
Show that the rational number a+b/2 lies between the rational numbers a and b. Class 9Question 1. Sh
📄 GuideThree rational numbers x, y, z satisfy x + y + z = 0 and xy + yz + zx = 0. Show that all the rational numbers Class 9
Three rational numbers x, y, z satisfy x + y + z = 0 and xy + yz + zx = 0. Show that all the rationa
📄 GuideLet a = 1/12 and b = 5/6. Express both a and b in the form Class 9
Let a = 1/12 and b = 5/6. Express both a and b in the form Class 9Question 1. Let a = $\frac{7}{12}$
📄 GuideWithout performing division, determine whether the decimal expansion of 18/125 is terminating Class 9
Without performing division, determine whether the decimal expansion of 18/125 is terminating Class
📄 GuideLet a and b be two non-zero rational numbers such that a + 1/b = 0. Without assigning any numerical values Class 9
Let a and b be two non-zero rational numbers such that a + 1/b = 0. Without assigning any numerical
📄 GuideFind 5 rational numbers between 1/6 and 2/5. Class 9
Find 5 rational numbers between 1/6 and 2/5. Class 9Question 1.Find 5 rational numbers between $\fra
📄 GuideFind 6 rational numbers between 3 and 4. Class 9
Find 6 rational numbers between 3 and 4. Class 9Question 1.Find 6 rational numbers between 3 and 4.
📄 GuideLocate the following rational numbers on the number line. Class 9
Locate the following rational numbers on the number line. Class 9Question 1. Locate the following ra
📄 GuideConvert the following decimal numbers in the form of p/q. Class 9
Convert the following decimal numbers in the form of p/q. Class 9Question 1. Convert the following d
📄 GuideProve that 5 is an irrational number. Class 9
Prove that 5 is an irrational number. Class 9Question 1.Prove that $\sqrt{5}$ is an irrational numbe
📄 GuideConsider this puzzle: What is the square root of -1? Class 9
Consider this puzzle: What is the square root of -1? Class 9Question 1.Consider this puzzle: What is
📄 GuideThe number 0.9 (which means 0.99999 ...) is a rational number. Using algebra let x = 0.9, multiply by 10 Class 9
The number 0.9 (which means 0.99999 ...) is a rational number. Using algebra let x = 0.9, multiply b
📄 GuideClassify the following numbers as rational or irrational: Class 9
Classify the following numbers as rational or irrational: Class 9Question 1.Classify the following n
📄 GuidePerform the long division for 1/13. Identify the repeating block of digits. Does it show cyclic properties Class 9
Perform the long division for 1/13. Identify the repeating block of digits. Does it show cyclic prop
📄 GuideWithout performing long division, determine which of the following rational numbers will have terminating decimals Class 9
Without performing long division, determine which of the following rational numbers will have termin
📄 GuideTry to find the decimal expansions of 10/3 and 11/12. What do you observe about the repetition Class 9
Try to find the decimal expansions of 10/3 and 11/12. What do you observe about the repetition Class
📄 GuideTry to extend this method for constructing line segments of lengths 3 and 5 Class 9
Try to extend this method for constructing line segments of lengths 3 and 5 Class 9Question 1.Try to
📄 GuideLocate 2 on the number line. Class 9
Locate 2 on the number line. Class 9Question 1.Locate [latex]\sqrt{2}[/latex] on the number line. Cl
📄 GuideWe have seen how to obtain a line whose length is a rational number. How do we obtain lines Class 9
We have seen how to obtain a line whose length is a rational number. How do we obtain lines Class 9Q
📄 GuideTry to prove the irrationality of 3 using the approach of proof by contradiction. Class 9
Try to prove the irrationality of 3 using the approach of proof by contradiction. Class 9Question 1.
📄 GuideCan 2 be written as a rational number p/q ? Class 9
Can 2 be written as a rational number p/q ? Class 9Question 1.Can [latex]\sqrt{2}[/latex] be written