Vocabulary, Place Value
& Rounding
& Rounding
What place value is the 3 in the following number?
19302.77
Hundreds
Convert 3/5 into a decimal.
0.6
Simplify the ratio 9:12.
3:4
Increase 40 by 12%.
44.8
A computer goes on sale for 20% off and costs $650. What was the original price of the computer?
$812.50
What does GST stand for?
a) Great Scott Time-machine
b) General Skill Task
c) Giant Savings Team
d) Goods and Services Tax
d) Goods and Services Tax
Convert 28% into a fraction.
28/100 or 14/50 or 7/25
What is 15% of 94?
14.1
Decrease 7.4 by 3/4.
1.85
An XBox Series X costs $800 with tax. How much does it cost before tax (15%)?
$695.65
Put the following in order from smallest to largest:
0.15, 0.4, 1.2, 0.07, 0.065, 0.9, 0.145
0.065, 0.07, 0.145, 0.15, 0.4, 0.9, 1.2
Convert 0.32 into a fraction.
32/100 or 16/50 or 8/25
What is 3/5 of 70?
42
Decrease 15 by 4.5%.
14.325
$500 is put into a bank account and earns 4% compound interest per year. How much will be in the account after 5 years?
$608.32
Round 178.53 to the nearest ten.
180
Put the following in order from smallest to largest:
2/5, 34%, 3/7, 0.61, 19.2%, 1/4, 2/9, 0.83
19.2%, 2/9, 1/4, 34%, 2/5, 3/7, 0.61, 0.83
Split $48 into the ratio of 3:5.
18:30
Increase 17 by 115%.
36.55
Year 9 students travel to school in the ratio of 5:4:2 (Drive, Bus, Walk). If 120 students in Year 9 walk to school, how many students are there in total?
660
Laura is asked to round 1593.27 to the nearest tenth. She writes her answer as 1590.
Is Laura correct? Explain why she arrived at the answer she did.
Laura is not correct. Rounding to the nearest tenth should give us an answer of 1593.3. Laura likely mixed up the place values of tenths and tens.
Sergey is trying to convert 4.5% into a decimal and he arrives at the answer of 0.45. Is he correct? Explain why Sergey might have arrived at this answer.
Sergey is not correct.
4.5% as a decimal should be 0.045. The error likely came from forgetting that 4% as a decimal is not 0.4, which is actually equal to 40%.
The ratio of boys to girls taking Year 13 Statistics at Rangitoto College is 3:5.
If all 9 classes are exactly the same size, and there is an average of 20 girls in each class, how many boys in total are taking Year 13 Statistics?
If we increase $50 by 20% and then decrease the result by 20%, will we end up back at $50?
Why or why not?
No, we will not end up back at $50.
50 increased by 20% = 60
60 decreased by 20% = 48
The reason is because 20% of 60 is larger than 20% of 50, so we are removing more when we decrease than we added when we increased.
The music tastes at Rangitoto College were surveyed and found the following:
22% of students listen primarily to pop music.
1/5 of students listen primarily to rock music.
0.35 of students listen to either rap or hip hop. The ratio of rap to hip hop is 3:2.
The remaining 690 students listen to other genres primarily.
How many students listen to each genre of music?
Pop = 660 students
Rock = 600 students
Rap = 630 students
Hip-Hop = 420 students
Other = 690 students
Total = 3000 students