2. what number must you add to 1 p.m. to change it to 24 - hour clock notation?
list 3 other times that change in the same way:
3. for each a.m./p.m. time, write the corresponding 24 - hour clock notation:
hint: only look at the chart above if you need help.
a) 5:00 a.m. = ______ b) 11:00 p.m. = ______ c) 6:00 p.m. = ______
d) 2:00 a.m. = ______ e) 3:00 p.m. = ______ f) 12:00 a.m. = ______
4. for each 24 - hour clock notation, write the corresponding a.m./p.m. time.
a) 07:00 = ______ b) 15:00 = ______ c) 13:00 = ______ d) 00:00 = ______
e) 18:00 = ______ f) 17:00 = ______ g) 6:00 = ______ h) 23:00 = ______
5. find the difference between the times:
a) 23:00 and 9:45 b) 22:52 and 7:18 c) 17:51 and 14:02 d) 19:23 and 11:58
6. complete the chart to show when david left each part of
the museum (using 24 - hour time).
| | start | dinosaurs | reptiles | lunch | ancient egypt | bat cave |
| time spent | | 1 hr 15 minutes | 40 minutes | 55 minutes | 1 hr 25 minutes | 5 minutes |
| time finished | 10:30 | | | | | |
7. describe any differences between the way time is written for a 24 - hour and a 12 - hour clock.
a) ...in the morning (a.m.) b) ...in the afternoon or evening (p.m.)

Question

2. what number must you add to 1 p.m. to change it to 24 - hour clock notation?
list 3 other times that change in the same way:
3. for each a.m./p.m. time, write the corresponding 24 - hour clock notation:
hint: only look at the chart above if you need help.
 a) 5:00 a.m. = ______  b) 11:00 p.m. = ______  c) 6:00 p.m. = ______
 d) 2:00 a.m. = ______  e) 3:00 p.m. = ______  f) 12:00 a.m. = ______
4. for each 24 - hour clock notation, write the corresponding a.m./p.m. time.
 a) 07:00 = ______  b) 15:00 = ______  c) 13:00 = ______  d) 00:00 = ______
 e) 18:00 = ______  f) 17:00 = ______  g) 6:00 = ______  h) 23:00 = ______
5. find the difference between the times:
 a) 23:00 and 9:45  b) 22:52 and 7:18  c) 17:51 and 14:02  d) 19:23 and 11:58
6. complete the chart to show when david left each part of
the museum (using 24 - hour time).
| | start | dinosaurs | reptiles | lunch | ancient egypt | bat cave |
| time spent |  | 1 hr 15 minutes | 40 minutes | 55 minutes | 1 hr 25 minutes | 5 minutes |
| time finished | 10:30 |  |  |  |  |  |
7. describe any differences between the way time is written for a 24 - hour and a 12 - hour clock.
 a) ...in the morning (a.m.)  b) ...in the afternoon or evening (p.m.)

Accepted Answer

### Question 2
# Explanation:
## Step1: Convert 1 p.m. to 24 - hour time
To convert a p.m. time (excluding 12 p.m.) to 24 - hour time, we add 12 to the hour. For 1 p.m., $1 + 12=13$, so we add 12.
## Step2: List other times
Other times that are p.m. (not 12 p.m.) will also have 12 added to their hour to convert to 24 - hour time. For example, 2 p.m. ($2 + 12 = 14$), 3 p.m. ($3+12 = 15$), 4 p.m. ($4 + 12=16$).
# Answer:
The number to add is 12. Three other times: 2 p.m., 3 p.m., 4 p.m. (answers may vary, any p.m. times except 12 p.m. are correct)

### Question 3
# Explanation:
## Step1: Convert a.m. times
For a.m. times, the 24 - hour time is the same as the a.m. time (for times from 1:00 a.m. to 11:00 a.m.). For 5:00 a.m., it is 05:00 (or 5:00, but usually written with two digits for hours in 24 - hour time). For 2:00 a.m., it is 02:00. For 12:00 a.m., it is 00:00.
## Step2: Convert p.m. times
For p.m. times, we add 12 to the hour. For 11:00 p.m., $11 + 12=23$, so 23:00. For 6:00 p.m., $6+12 = 18$, so 18:00. For 3:00 p.m., $3 + 12=15$, so 15:00.
# Answer:
a) $5:00$ a.m. $=$ $05:00$ (or $5:00$)
b) $11:00$ p.m. $=$ $23:00$
c) $6:00$ p.m. $=$ $18:00$
d) $2:00$ a.m. $=$ $02:00$ (or $2:00$)
e) $3:00$ p.m. $=$ $15:00$
f) $12:00$ a.m. $=$ $00:00$

### Question 4
# Explanation:
## Step1: Convert 24 - hour times to a.m./p.m.
- For times from 01:00 to 11:00 in 24 - hour time, if the hour is less than 12, it is a.m. For 07:00, it is 7:00 a.m. For 6:00, it is 6:00 a.m.
- For times from 13:00 to 23:00 in 24 - hour time, we subtract 12 from the hour to get the p.m. time. For 15:00, $15-12 = 3$, so 3:00 p.m. For 13:00, $13 - 12=1$, so 1:00 p.m. For 18:00, $18-12 = 6$, so 6:00 p.m. For 17:00, $17-12 = 5$, so 5:00 p.m. For 23:00, $23-12 = 11$, so 11:00 p.m.
- For 00:00, it is 12:00 a.m.
# Answer:
a) $07:00=$ $7:00$ a.m.
b) $15:00=$ $3:00$ p.m.
c) $13:00=$ $1:00$ p.m.
d) $00:00=$ $12:00$ a.m.
e) $18:00=$ $6:00$ p.m.
f) $17:00=$ $5:00$ p.m.
g) $6:00=$ $6:00$ a.m.
h) $23:00=$ $11:00$ p.m.

### Question 5
# Explanation:
To find the difference between two times, we can convert them to minutes or use the formula: If we have two times $h_1:m_1$ and $h_2:m_2$, the difference in minutes is $(h_2\times60 + m_2)-(h_1\times60 + m_1)$ (we may need to adjust for crossing midnight, but in these cases, we can also calculate the positive difference).
## Step1: Difference between 23:00 and 9:45
First, convert 23:00 to minutes: $23\times60+0 = 1380$ minutes. Convert 9:45 to minutes: $9\times60 + 45=540 + 45 = 585$ minutes. The difference is $1380-585 = 795$ minutes. Convert back to hours and minutes: $795\div60 = 13$ hours and $15$ minutes? Wait, no, we made a mistake. Actually, if we consider the time from 9:45 to 23:00, we can calculate as $23:00 - 9:45$. 23 hours - 9 hours = 14 hours, 0 minutes - 45 minutes. We borrow 1 hour from 14 hours, so 13 hours and 60 minutes. Then $13$ hours $60$ minutes - 45 minutes=13 hours 15 minutes? No, wait, 23:00 is 11:00 p.m., 9:45 is 9:45 a.m. or p.m.? Assuming 9:45 is a.m. and 23:00 is p.m., the correct way is: From 9:45 a.m. to 9:45 p.m. is 12 hours, then from 9:45 p.m. to 23:00 (11:00 p.m.) is 1 hour 15 minutes. So total 13 hours 15 minutes? Wait, no, 23:00 - 9:45: 23 - 9 = 14, 0 - 45. Since 0<45, we do 23 - 1=22, 0 + 60 = 60. Then 22 - 9 = 13, 60 - 45 = 15. So 13 hours 15 minutes.
## Step2: Difference between 22:52 and 7:18
Convert 22:52 to minutes: $22\times60+52 = 1320 + 52=1372$ minutes. Convert 7:18 to minutes: $7\times60+18 = 420+18 = 438$ minutes. Difference: $1372 - 438=934$ minutes. $934\div60 = 15$ hours and $34$ minutes? Wait, 22:52 is 10:52 p.m., 7:18 is 7:18 a.m. From 7:18 a.m. to 7:18 p.m. is 12 hours, from 7:18 p.m. to 10:52 p.m. is 3 hours 34 minutes. Total 15 hours 34 minutes. Using the formula: 22 - 7 = 15, 52 - 18 = 34. So 15 hours 34 minutes.
## Step3: Difference between 17:51 and 14:02
Convert 17:51 to minutes: $17\times60 + 51=1020+51 = 1071$ minutes. Convert 14:02 to minutes: $14\times60+2 = 840 + 2=842$ minutes. Difference: $1071 - 842 = 229$ minutes. $229\div60 = 3$ hours and $49$ minutes. (17 - 14 = 3, 51 - 2 = 49)
## Step4: Difference between 19:23 and 11:58
Convert 19:23 to minutes: $19\times60+23 = 1140+23 = 1163$ minutes. Convert 11:58 to minutes: $11\times60+58 = 660+58 = 718$ minutes. Difference: $1163 - 718=445$ minutes. $445\div60 = 7$ hours and $25$ minutes. (19 - 11 = 8, but 23 - 58, so we borrow 1 from 8, 7, and 23 + 60 = 83. 83 - 58 = 25. So 7 hours 25 minutes)
# Answer:
a) $23:00$ and $9:45$: $13$ hours $15$ minutes
b) $22:52$ and $7:18$: $15$ hours $34$ minutes
c) $17:51$ and $14:02$: $3$ hours $49$ minutes
d) $19:23$ and $11:58$: $7$ hours $25$ minutes

### Question 6
# Explanation:
## Step1: Find the start time
The start time is 10:30 (24 - hour time).
## Step2: Time to leave Dinosaurs
Time spent at Dinosaurs is 1 hour 15 minutes. So start time 10:30 + 1 hour 15 minutes. 10 + 1 = 11, 30+15 = 45. So 11:45.
## Step3: Time to leave Reptiles
Time spent at Reptiles is 40 minutes. Start time after Dinosaurs is 11:45. 45+40 = 85 minutes. 85 minutes = 1 hour 25 minutes. 11 + 1 = 12, 85 - 60 = 25. So 12:25.
## Step4: Time to leave Lunch
Time spent at Lunch is 55 minutes. Start time after Reptiles is 12:25. 25+55 = 80 minutes. 80 minutes = 1 hour 20 minutes. 12 + 1 = 13, 80 - 60 = 20. So 13:20.
## Step5: Time to leave Ancient Egypt
Time spent at Ancient Egypt is 1 hour 25 minutes. Start time after Lunch is 13:20. 13+1 = 14, 20 + 25 = 45. So 14:45.
## Step6: Time to leave Bat Cave
Time spent at Bat Cave is 5 minutes. Start time after Ancient Egypt is 14:45. 45+5 = 50. So 14:50.
# Answer:
|  | Start | Dinosaurs | Reptiles | Lunch | Ancient Egypt | Bat Cave |
| --- | --- | --- | --- | --- | --- | --- |
| Time Spent | - | 1 hr 15 minutes | 40 minutes | 55 minutes | 1 hr 25 minutes | 5 minutes |
| Time Finished | 10:30 | 11:45 | 12:25 | 13:20 | 14:45 | 14:50 |

### Question 7
# Explanation:
## Step1: Morning (a.m.) times
In the 12 - hour clock, morning times are labeled with a.m. (e.g., 7:00 a.m.), and the hour ranges from 1 to 12. In the 24 - hour clock, morning times (from 1:00 a.m. to 11:00 a.m.) are written as 01:00 to 11:00 (or 1:00 to 11:00), without the a.m. label, and 12:00 a.m. is 00:00.
## Step2: Afternoon/evening (p.m.) times
In the 12 - hour clock, afternoon/evening times are labeled with p.m. (e.g., 7:00 p.m.), and the hour ranges from 1 to 12. In the 24 - hour clock, afternoon/evening times (from 1:00 p.m. to 11:00 p.m.) are written as 13:00 to 23:00 (by adding 12 to the 12 - hour p.m. hour), and 12:00 p.m. is 12:00.
# Answer:
a) In the morning (a.m.): In 12 - hour clock, times are from 1:00 a.m. to 11:00 a.m. with “a.m.” label. In 24 - hour clock, times are from 01:00 to 11:00 (or 1:00 to 11:00) without “a.m.”, and 12:00 a.m. is 00:00.
b) In the afternoon/evening (p.m.): In 12 - hour clock, times are from 1:00 p.m. to 11:00 p.m. with “p.m.” label. In 24 - hour clock, times are from 13:00 to 23:00 (by adding 12 to the 12 - hour p.m. hour), and 12:00 p.m. is 12:00.

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QUESTION IMAGE

Question

Explanation:

Question 2

Step1: Convert 1 p.m. to 24 - hour time

Step2: List other times

Step1: Convert a.m. times

Step2: Convert p.m. times

Step1: Convert 24 - hour times to a.m./p.m.

Answer:

Question 3

	start	dinosaurs	reptiles	lunch	ancient egypt	bat cave
time spent		1 hr 15 minutes	40 minutes	55 minutes	1 hr 25 minutes	5 minutes
time finished	10:30