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Find the LCM of 96 and by using fundamental theorem of arithmetic. Question Find the largest number which divides 70 and leaving remainder 5 and 8 respectively. Complete the following factor tree and find the composite number x.
Check whether 4n can end with the digit 0 for any natural number n. Therefore, 4 n does not end with the digit zero for any natural number n.
Give reasons. But this contradicts the fact that p and q have no common factor. So, our assumption is wrong, is irrational. Three bells toll at intervals of 9, 12, 15 minutes respectively. If they start tolling together, after what time will they next toll together? Two tankers contain liters and liters of petrol. Find the maximum capacity of a container which can measure the petrol of each tanker in the exact number of times. The length, breadth, and height of a room are 8 m 50 cm, 6 m 25 cm and 4 m 75 cm respectively.
Find the length of the longest rod that can measure the dimensions of the room exactly. Three alarm clocks ring at intervals of 4, 12 and 20 minutes respectively. Chapter 5. Arithmetic Progressions. Chapter 6. Chapter 7. Coordinate Geometry. Chapter 8. Introduction To Trigonometry. Chapter 9.
Some Applications of Trigonometry. Chapter Areas Related to Circles. Surface Areas and Volumes. Thus, any integer that is greater than 1 can be either a prime number or can be expressed as a product of prime factors. Note :. It is the only number that is both prime and even. A chain of factors that is demonstrated in the Ch 1 Class 10 Maths Important Questions Contact form of a tree, is called a factor tree.
HCF is the product of the smallest power of each common prime factor present in the numbers. The product of the largest power of each prime factor present in the numbers is the LCM. Important Note:. We use the method of contradiction in order to prove irrationality of the numbers.
If a prime number p divides a 2 , then p divides a, where a is a positive integer. Let us understand how to write the decimal expansion of those rational numbers with terminating decimal expansion. The important questions for this chapter is basically a compilation of higher and more advanced techniques a student can expect in Class 10 examinations. The questions of the chapter and the notes related to the topic provided by Vedantu will not only help you to understand the concept better but also solve the questions successfully.
If you harbour any doubts then you can get answers to all your queries with our experienced teachers by registering with Vedantu and gain expertise in the subject. Vedantu is one of the premier leading online education forums which gives a platform to the students to learn their subjects in a holistic environment.
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