Please refer to CBSE Class 8 Maths Exponents and powers HOTs. Download HOTS questions and answers for Class 8 Mathematics. Read CBSE Class 8 Mathematics HOTs for Chapter 11 Exponents and Powers below and download in pdf. High Order Thinking Skills questions come in exams for Mathematics in Class 8 and if prepared properly can help you to score more marks. You can refer to more chapter wise Class 8 Mathematics HOTS Questions with solutions and also get latest topic wise important study material as per NCERT book for Class 8 Mathematics and all other subjects for free on Studiestoday designed as per latest CBSE, NCERT and KVS syllabus and pattern for Class 8
Chapter 11 Exponents and Powers Class 8 Mathematics HOTS
Class 8 Mathematics students should refer to the following high order thinking skills questions with answers for Chapter 11 Exponents and Powers in Class 8. These HOTS questions with answers for Class 8 Mathematics will come in exams and help you to score good marks
HOTS Questions Chapter 11 Exponents and Powers Class 8 Mathematics with Answers
HOTS
Question. Find the missing number x in : 52 + x2 = 132
Answer : 12
Question. Find 724.9 × 103 in usual form.
Answer : 724900
Question. Find the value of (125)2.
Answer : 15625
Question. Find 326800 in standard form.
Answer : 3.268 × 105
Question. Simplify in exponent form (2–3 x 26) 25 .
Answer : 2–2
Question. Find 0.000000 375 in standard form.
Answer : 3.75 × 10–7
Question. Find the value of (2/3)-4
Answer : 81/16
Question. Find 87.34 × 10–3 in standard form
Answer : 8.734 × 10–2
Question. Find 72.48 × 103 in standard form.
Answer : 7.248 × 104
Question. Find in the form of positive exponent (x–4)3
Answer : 1/x12
Question. Find the value of 67 - 69 / 65
Answer : –1260
Question. Find 3.72 × 10–2 in usual form.
Answer : 0.0372
Question. Find the value of (3/-2)2 x (-2/3)3
Answer : -2/3
Question. Simplify in exponent form. (a7 a–5) × a–2.
Answer : a10
Question. Simplify :
Answer : 9/25
Question. Which number is greater : 10–49 or 2×10–50 and by how much?
Answer : 10–49, 8×10–50
Question.
Answer : 7/16
2. If ax=cq=b and cy=az=d, prove that xy=qz.
3. If a is a non-zero natural number, prove that (ax–y)x+y × (ay–z)y+z × (az–x)z+x=1.
CHALLENGES
1. What is the least positive value of 't' such that 25 x t-4/5-3 x 10 x t-8 is an integer. Find all the other values of 't' to suit the given condition.
2. Find the value of
3. Suppose a2a=(2a)a, for some positive integer 'a'. Prove that a=2.
4. Simplify :
5. Simplify: (a+b+c)(a–1+b–1+c–1)–a–1b–1c–1(b+c)(c+a)(a+b).
6. If 2x+1–2x=8, find the value of x.
7. Find x, if 3x+5 = 3x+3 + 8/9 .
8. If ax=b, by=c and cz=a, prove that xyz=1.
9. If 4x+4–x=16 1/16 , find x.
SUMMARY
1. Repeated multiplication can be written in the form of exponents. The number which is repeated is called base and the number of times it is repeated is called power.
2. Laws of exponents.
If a and b are two non - zero rational numbers and m, n are any two integers, then
3. A number is said to be in the standard form if it is expressed as k×10n, where k is 1≤x<10 and n is an integer.
4. Conversion of numbers into the standard form and the standard form into numbers.
ERRORANALYSIS
1. x3.x2 is written as x6 instead of x5
2. x8÷x2 is written as x4 instead of x6
3. (x3)2 is written as x32 instead of x6
4. 5x-1 is written as 1/5x instead of 5/x
5. (2y-4/x)-3 is written as (x/2y4)3 instead of (x/2y-4)3
6. When a decimal is expressed in the standard form, the power of 10 is the negative power.
ACTIVITY I
Crossword
Across
Question. In xm × xn = xp, p is the ______ of m and n.
Answer: Sum
Question. Very large numbers like 6,250,000,000 can be conveniently written using ______.
Answer: Exponents
Question. The value of an, if n=0 is ______.
Answer: One
Question. Very small numbers can be expressed in the standard form using _______exponents.
Answer: Negative
Down
Question. The value of 3–2
Answer: One-ninth
Question. The value of 1/2-3
Answer: Eight
Question. 57 is read as 5 raised to the___________of 7.
Answer: Power
Question. a–m is the ____________inverse of am.
Answer: Multiplicative
Question. 1.24 × 10-4 is known as the ___________form of 0.000124.
Answer: Standard
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HOTS for Chapter 11 Exponents and Powers Mathematics Class 8
Expert teachers of studiestoday have referred to NCERT book for Class 8 Mathematics to develop the Mathematics Class 8 HOTS. If you download HOTS with answers for the above chapter you will get higher and better marks in Class 8 test and exams in the current year as you will be able to have stronger understanding of all concepts. High Order Thinking Skills questions practice of Mathematics and its study material will help students to have stronger understanding of all concepts and also make them expert on all critical topics. You can easily download and save all HOTS for Class 8 Mathematics also from www.studiestoday.com without paying anything in Pdf format. After solving the questions given in the HOTS which have been developed as per latest course books also refer to the NCERT solutions for Class 8 Mathematics designed by our teachers. We have also provided lot of MCQ questions for Class 8 Mathematics in the HOTS so that you can solve questions relating to all topics given in each chapter. After solving these you should also refer to Class 8 Mathematics MCQ Test for the same chapter
You can download the CBSE HOTS for Class 8 Mathematics Chapter 11 Exponents and Powers for latest session from StudiesToday.com
Yes, the HOTS issued by CBSE for Class 8 Mathematics Chapter 11 Exponents and Powers have been made available here for latest academic session
HOTS stands for "Higher Order Thinking Skills" in Chapter 11 Exponents and Powers Class 8 Mathematics. It refers to questions that require critical thinking, analysis, and application of knowledge
Regular revision of HOTS given on studiestoday for Class 8 subject Mathematics Chapter 11 Exponents and Powers can help you to score better marks in exams
Yes, HOTS questions are important for Chapter 11 Exponents and Powers Class 8 Mathematics exams as it helps to assess your ability to think critically, apply concepts, and display understanding of the subject.