1. What is the multiplicative inverse of the following expression?
a) 64⁄729
b) 128⁄729
c) 729⁄64
d) 729⁄128
Answer: a) 64⁄729
Explanation:
Thus, the multiplicative inverse of 729/64 is 64/729.
2. Which of the following exponents in expanded form represents the number 5629.354?
a) 5 × 104 + 6 × 103 + 2 × 102 + 9 × 101 + 3 × 10−1 + 5 × 10−2 + 4 × 10−3
b) 5 × 104 + 6 × 103 + 2 × 102 + 9 × 10−1 + 3 × 10−2 + 5 × 10−3 + 4 × 10−4
c) 5 × 103 + 6 × 102 + 2 × 101 + 9 × 100 + 3 × 10−1 + 5 × 10−2 + 4 × 10−3
d) 5 × 103 + 6 × 102 + 2 × 101 + 9 × 10−1 + 3 × 10−2 + 5 × 10−3 + 4 × 10−4
Answer: c) 5 × 103 + 6 × 102 + 2 × 101 + 9 × 100 + 3 × 10−1 + 5 × 10−2 + 4 × 10−3
Explanation: The expanded form of 5629.354
= 5 × 103 + 6 × 102 + 2 × 101 + 9 × 100 + 3 × 10−1 + 5 × 10−2 + 4 × 10−3
3. Simplify the following expression: (− 7/3)−2 × (7/9)2 ÷ (2/7)−2 × 42
a) 4⁄21
b) 21⁄4
c) 8⁄21
d) 21⁄8
Answer: c) 8⁄21
Explanation:
4. What is the value of ‘p’ if 112p + 11 = 1/1331?
a) 7
b) −7
c) 11
d) −11
Answer: b) −7
Explanation:
5. What is the area of a rectangle in standard form whose length is 17 × 105 m and breadth is 1.7 × 104 m?
a) 2.89 × 10−9 m2
b) 2.89 × 109 m2
c) 2.89 × 10−10 m2
d) 2.89 × 1010 m2
Answer: d) 2.89 × 1010 m2
Explanation:
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