Questions
Concept check
1. 54/32 converted to a mixed number is ________.a) 22/32 b)1.6875 c) 1/38 d)1 22/32
2. The product of one and four thirty-seconds and twenty thirty-seconds is ________. a)1 24/32 b)45/64 c)56/32 d)720
3. One and eight thirty-seconds divided by twelve thirty-seconds is ________. a)480/1024 20/1024 3 1/3 3 40/32
4. A u.S. Treasury bond is trading at 98 and 6/32. Convert this price to its decimal form. a)98.19 b)96.63 c)9/86 d)98.06
5. What is the percentage increase if the s&p 500 index is currently trading at 1,100 and rises 55 points? a)4.5% b)5% c)55% d)5.5%
Answer:
1.d)1 22/32
2. b)45/64
3. c)3 1/3
4. a)98.19
5. b)5%
Explanation:
1. 54/32 converted to a mixed number is ________.a) 22/32 b)1.6875 c) 1/38 d)1 22/32
Mixed number is another way of writing improper fraction
54/32= 1 (54 - 32)/32
= 1 22/32
Therefore, option d) 1 22/32 is the correct option
2. The product of one and four thirty-seconds and twenty thirty-seconds is ________. a)1 24/32 b)45/64 c)56/32
d)720
One and four thirty-seconds = 1 4/32
Twenty thirty-seconds = 20/32
= 1 4/32 × 20/32
= 36/32 × 20/32
= 9/8 × 5/8
= 45/64
Therefore, option b)45/64 is the correct option
3. One and eight thirty-seconds divided by twelve thirty-seconds is ________. a)480/1024 b)20/1024 c)3 1/3 d)3 40/32
One and eight thirty-seconds = 1 8/32
Twelve thirty-seconds = 12/32
= 1 8/32 ÷ 12/32
= 40/32 ÷ 12/32
= 40/32 × 32/12
= 40/12
= 3 4/12
= 3 1/3
Therefore, option c) 3 1/3 is the correct option
4. A u.S. Treasury bond is trading at 98 and 6/32. Convert this price to its decimal form. a)98.19 b)96.63 c)9/86 d)98.06
98 and 6/32 = 98 + 6/32
We convert 6/32 to decimal
= 98 + 0.1875
= 98.1875
≈ 98.19
Therefore, Option a is the correct option
5. What is the percentage increase if the s&p 500 index is currently trading at 1,100 and rises 55 points? a)4.5% b)5% c)55% d)5.5%
Percentage increase = Increase/ Orginal amount × 100
Increase = 55 points
Original amount = 1,100
Percentage Increase = 55/1100 × 100
= 0.05 × 100
= 5%
Therefore, option b)5% is the correct option
