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7th Grade > Mathematics

EXPONENTS AND POWERS MCQs

Total Questions : 102 | Page 2 of 11 pages
Question 11. Express the given number in standard form:
21700000
  1.    2.1×107
  2.    2.17×107
  3.    1.17×107
  4.    1.1701×107
 Discuss Question
Answer: Option B. -> 2.17×107
:
B
21700000 can be written as
2.17×10000000=2.17×107
Question 12. (102)2 =  __.
 Discuss Question

:
From the law of exponent, we have,
(am)n=(a)mn
Therefore,
(102)2=104=10000
Question 13. Express 343 as a power of 7.
  1.    72
  2.    73
  3.    74
  4.    70
 Discuss Question
Answer: Option B. -> 73
:
B
343 can be written as
343=7×7×7
so, 343=73
Question 14. (25)2=(25)2
  1.    True
  2.    False
  3.    201
  4.    219
 Discuss Question
Answer: Option B. -> False
:
B
2252 = 425
2252 = 425
Hence, the given statement is false.
Question 15. am×bm=(ab)m
  1.    True
  2.    False
  3.    201
  4.    219
 Discuss Question
Answer: Option A. -> True
:
A
From the law of exponents, we know that
am×bm=(ab)m
Thus, the given statement is true.
Question 16. Express 32000 as a product of powers of prime factors.
  1.    28×52
  2.    28×53
  3.    27×54
  4.    28×54
 Discuss Question
Answer: Option B. -> 28×53
:
B
32000 can be written as
32000=(2×2×2×2×2)×1000=25×103
(as32=2×2×2×2×2)

= 25×(2×2×2×5×5×5)
= 25×23×53
= 28×53
Question 17. In 104, 10 is the base and 4 is the __.
 Discuss Question

:
Here, 4 is called the exponent.
Question 18. Say true or false:
 (25)2=(25)2
  1.    True
  2.    False
  3.    201
  4.    219
 Discuss Question
Answer: Option B. -> False
:
B
LHS = (25)2=425
RHS = (25)2=425
Hence, the given statement is false.
Question 19. Write 0.1234 in standard form.
  1.    It's already in standard form
  2.    1.234×10−1
  3.    12.34×10−2
  4.    1234×10−4
 Discuss Question
Answer: Option B. -> 1.234×10−1
:
B
In standard form, any number is expressed in powers of 10. The decimal number must be in between 1 and 10.
0.1234=1.23410=1.234×101
Question 20. A man X has a land whose area is 34 meter square and a man Y has 43 meter square of land. If the land costs Rs 50 per meter square, who has higher property value? [4 MARKS]
 Discuss Question

:
Step: 2 Marks
Application: 1 Mark
Answer: 1 Mark
The area of land owned by Xis
=34m2=81m2

The value of given property is
=(81)×(50)=Rs.4050

The area of land owned byY is
43m2=64m2
The value of given property is
=(64)×(50)=Rs.3200

Value of property owned byX is greater than property owned by Y.

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