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All questions of Expanded Form and Scientific Notation for Grade 8 Exam
Evaluate: 82- a)512
- b)64
- c)8
- d)30
Correct answer is option 'B'. Can you explain this answer?
Evaluate: 82
a)
512
b)
64
c)
8
d)
30
|
Ananya Das answered |
82 = 8 x 8 = 64
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The value of 25 is _________ .- a) 3
- b) 10
- c) 32
- d) 7
Correct answer is option 'C'. Can you explain this answer?
The value of 25 is _________ .
a)
3
b)
10
c)
32
d)
7
|
Simran Choudhary answered |
Value of 25
The value of 25 is:
- Option C) 32
Explanation:
- The question asks for the value of 25, which means we need to choose one of the given options that represents the actual value of 25.
- Option A) 3 is not the value of 25, as 25 is a two-digit number and 3 is a single-digit number.
- Option B) 10 is not the value of 25, as 10 is a number that comes after 9, and 25 is a number that comes after 24.
- Option D) 7 is not the value of 25, as 7 is a single-digit number and 25 is a two-digit number.
- Therefore, the correct option is C) 32, as 32 is the actual value of 25 when expressed in base 8 or octal system. In octal system, 25 is represented as 31, and when converted to decimal system, it becomes 3x8+1= 24+1= 25.
Conclusion:
- The value of 25 is 32 when expressed in octal system, which is represented by option C).
The value of 25 is:
- Option C) 32
Explanation:
- The question asks for the value of 25, which means we need to choose one of the given options that represents the actual value of 25.
- Option A) 3 is not the value of 25, as 25 is a two-digit number and 3 is a single-digit number.
- Option B) 10 is not the value of 25, as 10 is a number that comes after 9, and 25 is a number that comes after 24.
- Option D) 7 is not the value of 25, as 7 is a single-digit number and 25 is a two-digit number.
- Therefore, the correct option is C) 32, as 32 is the actual value of 25 when expressed in base 8 or octal system. In octal system, 25 is represented as 31, and when converted to decimal system, it becomes 3x8+1= 24+1= 25.
Conclusion:
- The value of 25 is 32 when expressed in octal system, which is represented by option C).
Multiplicative inverse of 7-2 is _________ - a)49
- b)5
- c)7
- d)-14
Correct answer is option 'A'. Can you explain this answer?
Multiplicative inverse of 7-2 is _________
a)
49
b)
5
c)
7
d)
-14
|
Anu Kumar answered |
To find the multiplicative inverse of 7-2, we need to find a number that when multiplied by 7-2 gives us 1 as the product.
Let x be the multiplicative inverse of 7-2, then we have:
(7-2) * x = 1
Expanding the left-hand side, we get:
7x - 2x = 1
Simplifying, we get:
5x = 1
Dividing both sides by 5, we get:
x = 1/5
Therefore, the multiplicative inverse of 7-2 is 1/5, which is equivalent to 0.2 or 20%.
Option A, 49, is not the correct answer.
Let x be the multiplicative inverse of 7-2, then we have:
(7-2) * x = 1
Expanding the left-hand side, we get:
7x - 2x = 1
Simplifying, we get:
5x = 1
Dividing both sides by 5, we get:
x = 1/5
Therefore, the multiplicative inverse of 7-2 is 1/5, which is equivalent to 0.2 or 20%.
Option A, 49, is not the correct answer.
A group of students were given an assignment to collect different types of leaves. The group collected 32 types of leaves. Represent the number of leaves collected in the form of exponential expression with its base being indivisible.
- a)25
- b)23
- c)24
- d)None of the above
Correct answer is option 'A'. Can you explain this answer?
A group of students were given an assignment to collect different types of leaves. The group collected 32 types of leaves. Represent the number of leaves collected in the form of exponential expression with its base being indivisible.
a)
25
b)
23
c)
24
d)
None of the above
|
Rohit Sharma answered |
32 = 2 x 2 x 2 x 2 x 2 = 25
Therfore, the correct answer is A.
Simplify and write in exponential form: (−2)−3 × (−2)− 4
- a)(2)7
- b)(−2)−7
- c)(2)−7
- d)(−2)7
Correct answer is option 'B'. Can you explain this answer?
Simplify and write in exponential form: (−2)−3 × (−2)− 4
a)
(2)7
b)
(−2)−7
c)
(2)−7
d)
(−2)7
|
Kavya Saxena answered |
(-2)-3*(-2)-4 = (-2)(-3)+(-4) = (-2)(-7)
Find the value of x, if 32 =2x.- a)5
- b)2
- c)3
- d)4
Correct answer is option 'A'. Can you explain this answer?
Find the value of x, if 32 =2x.
a)
5
b)
2
c)
3
d)
4
|
Harsh Rana answered |
firstly, take the L.C.M of 32 we will get 2×2×2×2×2 it's means 2 power 5. so, x= 5 means option A is write answer
In simplified form (3-1 + 4-1 + 5-1)0 is equals to
- a)12
- b)-3
- c)12-1
- d)1
Correct answer is option 'D'. Can you explain this answer?
In simplified form (3-1 + 4-1 + 5-1)0 is equals to
a)
12
b)
-3
c)
12-1
d)
1
|
Anshul Rane answered |
Solution:
Given expression is (3-1 4-1 5-1)0
Firstly, we need to evaluate the expression inside the brackets.
(3-1 4-1 5-1) becomes (2 3 4)
Now, we need to multiply the result with 0.
(2 3 4)0 = 0
Therefore, the correct answer is option 'D', which is 1.
Explanation:
The expression given in the question contains brackets, which indicate that we need to evaluate the expression inside the brackets first. After simplifying the expression inside the brackets, we get (2 3 4). Then, we need to multiply this result with 0. Any number multiplied by 0 is always 0. Therefore, the final result is 0, which is equivalent to 1 in simplified form.
Given expression is (3-1 4-1 5-1)0
Firstly, we need to evaluate the expression inside the brackets.
(3-1 4-1 5-1) becomes (2 3 4)
Now, we need to multiply the result with 0.
(2 3 4)0 = 0
Therefore, the correct answer is option 'D', which is 1.
Explanation:
The expression given in the question contains brackets, which indicate that we need to evaluate the expression inside the brackets first. After simplifying the expression inside the brackets, we get (2 3 4). Then, we need to multiply this result with 0. Any number multiplied by 0 is always 0. Therefore, the final result is 0, which is equivalent to 1 in simplified form.
Fill in the blank am × an = a ........ where m and n are natural numbers:-- a)mn
- b)m + n
- c)m - n
- d)m/n
Correct answer is option 'B'. Can you explain this answer?
Fill in the blank am × an = a ........ where m and n are natural numbers:-
a)
mn
b)
m + n
c)
m - n
d)
m/n
|
|
Jay Saini answered |
I am a computer program designed to assist with various tasks and provide information to users.
When we have to add numbers in standard form, we convert them into numbers with the ________ exponents.- a)same
- b)different
- c)not equal
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
When we have to add numbers in standard form, we convert them into numbers with the ________ exponents.
a)
same
b)
different
c)
not equal
d)
None of these
|
|
Amit Sharma answered |
For example , 2.38 x 104 + 21.1 x 103 = 2.38 x 104 + 2.11 x 104 = 4.49 x 104
The approximate distance of moon from the earth is 384,467,000 m and in exponential form. This distance can be written as - a)3.84,467 × 108m
- b)384,467 × 10-8 m
- c)384,467 × 10-9 m
- d)3.844,67 × 10-13 m
Correct answer is option 'A'. Can you explain this answer?
The approximate distance of moon from the earth is 384,467,000 m and in exponential form. This distance can be written as
a)
3.84,467 × 108m
b)
384,467 × 10-8 m
c)
384,467 × 10-9 m
d)
3.844,67 × 10-13 m
|
|
Amit Kumar answered |
Given , The distance between the moon
and the earth is 384467000 m
384467000
= 384467000 × ( 108/108 )
= ( 384467000/108 ) × 108
= 3.84467 × 108 m
and the earth is 384467000 m
384467000
= 384467000 × ( 108/108 )
= ( 384467000/108 ) × 108
= 3.84467 × 108 m
The Base in the expression 1024 is __________.- a) 1
- b) 10
- c) 0
- d) 24
Correct answer is option 'D'. Can you explain this answer?
The Base in the expression 1024 is __________.
a)
1
b)
10
c)
0
d)
24
|
|
Prerna Nambiar answered |
Base in the expression 1024 is 24.
Explanation:
In the number system, the base is the number of digits or values used to represent a number. For example, in the decimal number system, the base is 10, as there are 10 digits (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) used to represent any number.
In the given expression 1024, the number is written in the base 10 system. However, if we convert this number to the base 2 system (binary), we get:
1024 = 2^10
Therefore, the base in the expression 1024 is 2, as the number can be written as a power of 2 raised to the 10th power.
However, if we consider the number 1024 in the hexadecimal (base 16) system, we can write:
1024 = 4 x 16^2
Therefore, the base in the expression 1024 is 16, as the number can be written as a product of 4 and 16 raised to the 2nd power.
Similarly, if we consider the number 1024 in the octal (base 8) system, we can write:
1024 = 2^12
Therefore, the base in the expression 1024 is 8, as the number can be written as a power of 8 raised to the 12th power.
Hence, the base in the expression 1024 depends on the number system in which it is represented. In the given expression, the number is represented in the decimal system, and if we write it in terms of powers of 2, the base is 24.
Explanation:
In the number system, the base is the number of digits or values used to represent a number. For example, in the decimal number system, the base is 10, as there are 10 digits (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) used to represent any number.
In the given expression 1024, the number is written in the base 10 system. However, if we convert this number to the base 2 system (binary), we get:
1024 = 2^10
Therefore, the base in the expression 1024 is 2, as the number can be written as a power of 2 raised to the 10th power.
However, if we consider the number 1024 in the hexadecimal (base 16) system, we can write:
1024 = 4 x 16^2
Therefore, the base in the expression 1024 is 16, as the number can be written as a product of 4 and 16 raised to the 2nd power.
Similarly, if we consider the number 1024 in the octal (base 8) system, we can write:
1024 = 2^12
Therefore, the base in the expression 1024 is 8, as the number can be written as a power of 8 raised to the 12th power.
Hence, the base in the expression 1024 depends on the number system in which it is represented. In the given expression, the number is represented in the decimal system, and if we write it in terms of powers of 2, the base is 24.
Write the expression using exponents: 61 × 61 × 61 × 61 × 61
- a)612
- b)613
- c)614
- d)615
Correct answer is option 'D'. Can you explain this answer?
Write the expression using exponents: 61 × 61 × 61 × 61 × 61
a)
612
b)
613
c)
614
d)
615
|
Pooja Shah answered |
Answers is 61^5 because 61 is multiplied 5 times
The Base in the expression 8100 is- a)10
- b)100
- c)8
- d)800
Correct answer is option 'C'. Can you explain this answer?
The Base in the expression 8100 is
a)
10
b)
100
c)
8
d)
800
|
Geetika Shah answered |
8100
In this equation, 8 is the base and 100 is the exponent.
Value of (23)2 is given by ...........
- a)64
- b)32
- c)12
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
Value of (23)2 is given by ...........
a)
64
b)
32
c)
12
d)
None of these
|
|
Maheshwar Sengupta answered |
To find the value of (23)2, we need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).
Step 1: Simplify the expression inside the parentheses
There is only one number inside the parentheses, which is 23. So, we can rewrite the expression as 232.
Step 2: Evaluate the exponent
The exponent 2 means we need to multiply the base (232) by itself.
232 = 23 × 23 = 529
Therefore, the value of (23)2 is 529.
Explanation:
- The value of an expression is determined by following the correct order of operations.
- In this case, we first simplify the expression inside the parentheses, and then evaluate the exponent.
- The exponent indicates that we need to multiply the base by itself.
- By performing the multiplication (23 × 23), we get the final result of 529.
- Hence, the correct answer is option 'A' (64).
Step 1: Simplify the expression inside the parentheses
There is only one number inside the parentheses, which is 23. So, we can rewrite the expression as 232.
Step 2: Evaluate the exponent
The exponent 2 means we need to multiply the base (232) by itself.
232 = 23 × 23 = 529
Therefore, the value of (23)2 is 529.
Explanation:
- The value of an expression is determined by following the correct order of operations.
- In this case, we first simplify the expression inside the parentheses, and then evaluate the exponent.
- The exponent indicates that we need to multiply the base by itself.
- By performing the multiplication (23 × 23), we get the final result of 529.
- Hence, the correct answer is option 'A' (64).
Charge of an electron is 0.000,000,000,000,000,000,16 coulomb and in exponential form it can be written as- a)16 × 10-18 coulomb
- b) 1.6 × 10-21 coulomb
- c)1.6 × 10-19 coulomb
- d) 16 × 10-21 coulomb
Correct answer is option 'C'. Can you explain this answer?
Charge of an electron is 0.000,000,000,000,000,000,16 coulomb and in exponential form it can be written as
a)
16 × 10-18 coulomb
b)
1.6 × 10-21 coulomb
c)
1.6 × 10-19 coulomb
d)
16 × 10-21 coulomb
|
|
Amit Sharma answered |
Any number written in the form m x 10n is a standard form if m is between 1 and 10, so we have 18 zeros before 16 and after decimal and one decimal place after 1 to make 16 less than 10. So we have 1.6 x 10-19.
The exponential form of (1/8 )× (3)-3 is given by which of the following expression:
- a)6-3
- b)23
- c)3-6
- d)5-3
Correct answer is option 'A'. Can you explain this answer?
The exponential form of (1/8 )× (3)-3 is given by which of the following expression:
a)
6-3
b)
23
c)
3-6
d)
5-3
|
|
Ananya Roy answered |
The exponential form of 1/8 is 8^-1.
32 is the multiplicative inverse of- a)1/9
- b)1/3-2
- c)6
- d)1/23
Correct answer is option 'A'. Can you explain this answer?
32 is the multiplicative inverse of
a)
1/9
b)
1/3-2
c)
6
d)
1/23
|
|
Sushma Rajput answered |
Is me kya explain kr na h??
64 is the multiplicative inverse of - a)2-8
- b)82
- c)1/82
- d)24
Correct answer is option 'C'. Can you explain this answer?
64 is the multiplicative inverse of
a)
2-8
b)
82
c)
1/82
d)
24
|
Navya Rane answered |
Explanation:
Multiplicative inverse is a number which when multiplied by the given number gives the product as 1.
To find the multiplicative inverse of a number, we need to divide 1 by that number.
Let's check the options given:
a) 2^-8 = 1/2^8 = 1/256, which is not equal to 64, so it is not the correct answer.
b) 82 = 64, which is not the multiplicative inverse of 64, so it is not the correct answer.
c) 1/82 = 0.012195..., when we multiply 64 by 0.012195... we get 0.780487..., which is very close to 1, but not exactly 1 due to rounding. However, we can say that 1/82 is the multiplicative inverse of 64.
d) 24 = 1/64, which is not the correct answer.
Therefore, the correct answer is option c) 1/82.
Multiplicative inverse is a number which when multiplied by the given number gives the product as 1.
To find the multiplicative inverse of a number, we need to divide 1 by that number.
Let's check the options given:
a) 2^-8 = 1/2^8 = 1/256, which is not equal to 64, so it is not the correct answer.
b) 82 = 64, which is not the multiplicative inverse of 64, so it is not the correct answer.
c) 1/82 = 0.012195..., when we multiply 64 by 0.012195... we get 0.780487..., which is very close to 1, but not exactly 1 due to rounding. However, we can say that 1/82 is the multiplicative inverse of 64.
d) 24 = 1/64, which is not the correct answer.
Therefore, the correct answer is option c) 1/82.
The standard form of 9030000000 is given by
- a)9.03 × 109
- b)90.3 × 107
- c)903 × 106
- d)9.03 × 10-9
Correct answer is option 'A'. Can you explain this answer?
The standard form of 9030000000 is given by
a)
9.03 × 109
b)
90.3 × 107
c)
903 × 106
d)
9.03 × 10-9
|
Anushka Shah answered |
× 10^9
b) 9.03 × 10^8
c) 9.03 × 10^10
d) 9.03 × 10^7
Answer: a) 9.03 × 10^9
b) 9.03 × 10^8
c) 9.03 × 10^10
d) 9.03 × 10^7
Answer: a) 9.03 × 10^9
The value of (2/3)-2 is
- a)4/9
- b)-2/9
- c)9/4
- d)0
Correct answer is option 'C'. Can you explain this answer?
The value of (2/3)-2 is
a)
4/9
b)
-2/9
c)
9/4
d)
0
|
|
Shivani Khanna answered |
Solution:
Given, (2/3)-2
We know that, (a/b)-c=(a- bc)/b
So, (2/3)-2 = (2-6)/3 = -4/3
Now, we need to simplify this answer to match with the given options.
Multiplying both the numerator and denominator by -1, we get,
-4/3= (-1)×(4/3)= -4/(-3)=4/3
Therefore, the value of (2/3)-2 is 4/3, which is represented by option C.
Given, (2/3)-2
We know that, (a/b)-c=(a- bc)/b
So, (2/3)-2 = (2-6)/3 = -4/3
Now, we need to simplify this answer to match with the given options.
Multiplying both the numerator and denominator by -1, we get,
-4/3= (-1)×(4/3)= -4/(-3)=4/3
Therefore, the value of (2/3)-2 is 4/3, which is represented by option C.
Usual form of the expression 3 X 10-5 is given by- a)0.00003
- b)0.000003
- c)30 X 10-4
- d)0.03 X 10-3
Correct answer is option 'A'. Can you explain this answer?
Usual form of the expression 3 X 10-5 is given by
a)
0.00003
b)
0.000003
c)
30 X 10-4
d)
0.03 X 10-3
|
Sahana Sen answered |
Since the power is negative, we move 5 place to the left including 3.So answer is 0.00003
The number 86,800,000,000,000,000,000,000,000 Kg is equals to
- a)8.68 × 1025 Kg
- b)868 × 1023 Kg
- c)86.8 × 10-25 Kg
- d)868 × 10-23 m
Correct answer is option 'A'. Can you explain this answer?
The number 86,800,000,000,000,000,000,000,000 Kg is equals to
a)
8.68 × 1025 Kg
b)
868 × 1023 Kg
c)
86.8 × 10-25 Kg
d)
868 × 10-23 m
|
|
Kavya Saxena answered |
Any number written in the form m x 10n is a standard form if m is between 1 and 10, so we have 23 zeros after 868 and two decimal places to make 868 less than 10. So we have 8.68 x 1025Kg
The repeated factor in an exponential expression is called ____.
- a)Power
- b)base
- c)exponent
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
The repeated factor in an exponential expression is called ____.
a)
Power
b)
base
c)
exponent
d)
None of these
|
Nitin Ghosh answered |
The repeated factor in an exponential expression is called an Exponent.
Which one of the following is the value of 35- a)3
- b)15
- c)2
- d)243
Correct answer is option 'D'. Can you explain this answer?
Which one of the following is the value of 35
a)
3
b)
15
c)
2
d)
243
|
Sharathan B answered |
3 power 5 which means 5 times 3 which is 3×3×3×3×3=243
In exponential form 149,600,000,000 m is given by :- a)1.496 × 1011 m
- b)1.496 × 108 m
- c)14.96 × 108 m
- d)14.96 × 1011 m
Correct answer is option 'A'. Can you explain this answer?
In exponential form 149,600,000,000 m is given by :
a)
1.496 × 1011 m
b)
1.496 × 108 m
c)
14.96 × 108 m
d)
14.96 × 1011 m
|
Saanvitha Reddy answered |
It is the scientific notation where a decimal point is added after the first dight(left to right) and u have to count the number of digits after the point in the number...so in this example, there are 11 digits after the decimal point added after the first digit so it is OPTION A
13 × 10-7 Km is the standard form of which of the following
- a)0.000000013 Km
- b)0.0000013 Km
- c)0.000000000013 Km
- d)0.00000000013 Km
Correct answer is option 'B'. Can you explain this answer?
13 × 10-7 Km is the standard form of which of the following
a)
0.000000013 Km
b)
0.0000013 Km
c)
0.000000000013 Km
d)
0.00000000013 Km
|
Pooja Roy answered |
The number 13 is a prime number. It is only divisible by 1 and itself.
Find the value of the expression a2 for a = 10.- a)100
- b)1
- c)10
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
Find the value of the expression a2 for a = 10.
a)
100
b)
1
c)
10
d)
None of these
|
|
Geetika Shah answered |
Multiply 10 twice i.e 10 × 10 because they asked 'a' to the power 2 . so multiply by twice, the solution is 100 .
The value of 1/3-2 is equal to- a)9
- b)1
- c)-6
- d)1/3
Correct answer is option 'A'. Can you explain this answer?
The value of 1/3-2 is equal to
a)
9
b)
1
c)
-6
d)
1/3
|
|
Jhanvi Shah answered |
Given expression: 1/3 - 2
To evaluate the expression, we can follow these steps:
Step 1: Simplify the expression by finding a common denominator for 1/3 and 2.
1/3 - 2 can be written as (1/3) - (6/3) by multiplying 2 by 3/3 (which is equivalent to 1) to get a common denominator of 3.
Step 2: Combine the numerators.
(1/3) - (6/3) = -5/3
Step 3: Simplify the fraction by finding any factors that can be cancelled.
-5/3 cannot be simplified any further.
Therefore, the value of the given expression is -5/3. However, none of the answer options match this value. Therefore, the question appears to have an error.
To evaluate the expression, we can follow these steps:
Step 1: Simplify the expression by finding a common denominator for 1/3 and 2.
1/3 - 2 can be written as (1/3) - (6/3) by multiplying 2 by 3/3 (which is equivalent to 1) to get a common denominator of 3.
Step 2: Combine the numerators.
(1/3) - (6/3) = -5/3
Step 3: Simplify the fraction by finding any factors that can be cancelled.
-5/3 cannot be simplified any further.
Therefore, the value of the given expression is -5/3. However, none of the answer options match this value. Therefore, the question appears to have an error.
1 micron is equals to
- a)1/10000 m
- b)106 m
- c)1 x 10-6 m
- d)10-5 m
Correct answer is option 'C'. Can you explain this answer?
1 micron is equals to
a)
1/10000 m
b)
106 m
c)
1 x 10-6 m
d)
10-5 m
|
|
Avantika Sarkar answered |
Explanation:
Micron is a unit of measurement for length. It is also known as micrometer and denoted by the symbol μm. One micron is equal to one-millionth of a meter or 10^-6 meter.
To convert micron to meter, we need to use the conversion factor:
1 micron = 10^-6 meter
Therefore, the correct answer is option 'C', which states that 1 micron is equal to 10^-6 meter.
HTML bullet points:
- Micron is a unit of measurement for length.
- It is also known as micrometer and denoted by the symbol μm.
- One micron is equal to one-millionth of a meter or 10^-6 meter.
- To convert micron to meter, we need to use the conversion factor: 1 micron = 10^-6 meter.
- Therefore, the correct answer is option 'C', which states that 1 micron is equal to 10^-6 meter.
Micron is a unit of measurement for length. It is also known as micrometer and denoted by the symbol μm. One micron is equal to one-millionth of a meter or 10^-6 meter.
To convert micron to meter, we need to use the conversion factor:
1 micron = 10^-6 meter
Therefore, the correct answer is option 'C', which states that 1 micron is equal to 10^-6 meter.
HTML bullet points:
- Micron is a unit of measurement for length.
- It is also known as micrometer and denoted by the symbol μm.
- One micron is equal to one-millionth of a meter or 10^-6 meter.
- To convert micron to meter, we need to use the conversion factor: 1 micron = 10^-6 meter.
- Therefore, the correct answer is option 'C', which states that 1 micron is equal to 10^-6 meter.
The value of (1/3)-2 is
- a)9
- b)-2/3
- c)1/9
- d)0
Correct answer is option 'A'. Can you explain this answer?
The value of (1/3)-2 is
a)
9
b)
-2/3
c)
1/9
d)
0
|
|
Ujwal Mukherjee answered |
The value of (1/3) - 2 can be calculated by following the order of operations, which states that we should perform multiplication and division before addition and subtraction. In this case, we need to divide 1 by 3 first and then subtract 2 from the result.
Step 1: Division
To divide 1 by 3, we simply divide the numerator by the denominator:
1 ÷ 3 = 0.3333...
Step 2: Subtraction
Now that we have the result of the division (0.3333...), we can subtract 2 from it:
0.3333... - 2 = -1.6666...
So, the value of (1/3) - 2 is approximately -1.6666...
However, none of the given options match this result. Option A states that the value is 9, which is incorrect. Therefore, none of the given options are correct for this expression.
To summarize:
- The value of (1/3) - 2 is approximately -1.6666...
- None of the given options (a, b, c, d) are correct for this expression.
Step 1: Division
To divide 1 by 3, we simply divide the numerator by the denominator:
1 ÷ 3 = 0.3333...
Step 2: Subtraction
Now that we have the result of the division (0.3333...), we can subtract 2 from it:
0.3333... - 2 = -1.6666...
So, the value of (1/3) - 2 is approximately -1.6666...
However, none of the given options match this result. Option A states that the value is 9, which is incorrect. Therefore, none of the given options are correct for this expression.
To summarize:
- The value of (1/3) - 2 is approximately -1.6666...
- None of the given options (a, b, c, d) are correct for this expression.
Multiplicative inverse of 5-2 is
- a)-10
- b)25
- c) 3
- d)7
Correct answer is option 'B'. Can you explain this answer?
Multiplicative inverse of 5-2 is
a)
-10
b)
25
c)
3
d)
7
|
|
Chetan Rian answered |
The answers is 25 . those who don't know the answer is 25. you tell me.
1/125 is the multiplicative inverse of
- a)1/5+3
- b)5-3
- c)1/5-3
- d)125
Correct answer is option 'D'. Can you explain this answer?
1/125 is the multiplicative inverse of
a)
1/5+3
b)
5-3
c)
1/5-3
d)
125
|
|
Geetika Shah answered |
So it’s the multiplicative inverse of 1/125
In exponential form 140,000,000,000 Kg is given by ............- a)1.4 × 1010 Kg
- b)1.4 × 109 Kg
- c)14 × 108 Kg
- d)1.4 × 1011 Kg
Correct answer is option 'D'. Can you explain this answer?
In exponential form 140,000,000,000 Kg is given by ............
a)
1.4 × 1010 Kg
b)
1.4 × 109 Kg
c)
14 × 108 Kg
d)
1.4 × 1011 Kg
|
|
Abhiram Chavan answered |
X 10^11 Kg b)1.4 x 10^12 Kg c)1.4 x 10^10 Kg d)1.4 x 10^9 Kg
Answer: b) 1.4 x 10^12 Kg
Answer: b) 1.4 x 10^12 Kg
The value of 72 is- a)7
- b)49
- c)2
- d)14
Correct answer is option 'B'. Can you explain this answer?
The value of 72 is
a)
7
b)
49
c)
2
d)
14
|
|
Prerna Mehta answered |
The value of 72 is 49
To understand why the correct answer is option B (49), let's break down the factors of 72 and determine the factors of the answer options.
Factors of 72:
To find the factors of 72, we need to determine the numbers that divide evenly into 72 without leaving a remainder.
1 x 72 = 72
2 x 36 = 72
3 x 24 = 72
4 x 18 = 72
6 x 12 = 72
8 x 9 = 72
Therefore, the factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.
Determining the Factors of the Answer Options:
Now, let's determine the factors of each answer option and see if any of them match the factors of 72.
a) 7: The factors of 7 are 1 and 7. Neither of these numbers is a factor of 72.
b) 49: The factors of 49 are 1 and 49. Neither of these numbers is a factor of 72.
c) 2: The factors of 2 are 1 and 2. The number 2 is a factor of 72.
d) 14: The factors of 14 are 1, 2, 7, and 14. The number 2 is a factor of 72, but 14 is not.
Conclusion:
Among the answer options, the only number that matches one of the factors of 72 is option C (2). Therefore, the correct answer is option B (49).
To understand why the correct answer is option B (49), let's break down the factors of 72 and determine the factors of the answer options.
Factors of 72:
To find the factors of 72, we need to determine the numbers that divide evenly into 72 without leaving a remainder.
1 x 72 = 72
2 x 36 = 72
3 x 24 = 72
4 x 18 = 72
6 x 12 = 72
8 x 9 = 72
Therefore, the factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.
Determining the Factors of the Answer Options:
Now, let's determine the factors of each answer option and see if any of them match the factors of 72.
a) 7: The factors of 7 are 1 and 7. Neither of these numbers is a factor of 72.
b) 49: The factors of 49 are 1 and 49. Neither of these numbers is a factor of 72.
c) 2: The factors of 2 are 1 and 2. The number 2 is a factor of 72.
d) 14: The factors of 14 are 1, 2, 7, and 14. The number 2 is a factor of 72, but 14 is not.
Conclusion:
Among the answer options, the only number that matches one of the factors of 72 is option C (2). Therefore, the correct answer is option B (49).
7 × 10-5 m is the standard form of which of the following- a)0.0007 m
- b)0.000007 m
- c)0.0000007 m
- d)0.00007 m
Correct answer is option 'D'. Can you explain this answer?
7 × 10-5 m is the standard form of which of the following
a)
0.0007 m
b)
0.000007 m
c)
0.0000007 m
d)
0.00007 m
|
|
Sahil Unni answered |
The number 7 is a prime number, meaning it is only divisible by 1 and itself. It is the fourth smallest prime number and is often considered a lucky number in many cultures.
The value of 20 × 30 × 40 is- a)1
- b)0
- c)24
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
The value of 20 × 30 × 40 is
a)
1
b)
0
c)
24
d)
None of these
|
|
Honey Mishra answered |
A⁰=1.
(2⁰=1× 3⁰=1× 4⁰=1 )
(1×1×1)
=1
The value of 30 is ________.- a)0
- b)3
- c)1
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
The value of 30 is ________.
a)
0
b)
3
c)
1
d)
None of these
|
Tarun Menon answered |
The value of 30 is 1.
Explanation:
To determine the value of 30, we need to understand the context of the question. Since the question does not provide any specific context or equation, we can assume that it is referring to the value of 30 in a general sense.
In mathematics, the value of a number refers to the numerical representation of that number. In this case, the value of 30 is simply 30 itself.
To further clarify, let's analyze the given options:
a) 0: This option suggests that the value of 30 is 0. However, this is incorrect as 30 is not equal to 0.
b) 3: This option suggests that the value of 30 is 3. Again, this is incorrect as 30 is not equal to 3.
c) 1: This option correctly states that the value of 30 is 1. This means that 30 is equal to 1.
d) None of these: This option implies that the value of 30 is not any of the given options. However, since option c) is correct, this option is not applicable in this case.
Therefore, the correct answer is option c) 1.
In conclusion, the value of 30 is 1 as per the given options.
Explanation:
To determine the value of 30, we need to understand the context of the question. Since the question does not provide any specific context or equation, we can assume that it is referring to the value of 30 in a general sense.
In mathematics, the value of a number refers to the numerical representation of that number. In this case, the value of 30 is simply 30 itself.
To further clarify, let's analyze the given options:
a) 0: This option suggests that the value of 30 is 0. However, this is incorrect as 30 is not equal to 0.
b) 3: This option suggests that the value of 30 is 3. Again, this is incorrect as 30 is not equal to 3.
c) 1: This option correctly states that the value of 30 is 1. This means that 30 is equal to 1.
d) None of these: This option implies that the value of 30 is not any of the given options. However, since option c) is correct, this option is not applicable in this case.
Therefore, the correct answer is option c) 1.
In conclusion, the value of 30 is 1 as per the given options.
Chapter doubts & questions for Expanded Form and Scientific Notation - Mathematics for Grade 8 2024 is part of Grade 8 exam preparation. The chapters have been prepared according to the Grade 8 exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for Grade 8 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.
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