Numbers and place value · Ages 10–11

Comparing and ordering negative numbers worksheet

Part of: Negative numbers

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Numbers and place value · Ages 10–11

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Write each answer in the space. For word problems, show your working and write a sentence answer.

13.Tsz-hin is on basement floor B4 and Ka-yee on B5. Who is on the lower floor?
- A. Ka-yee
- B. They can't be compared
- C. Tsz-hin
- D. They are on the same floor
Choose the right answer
Working:
Answer:
14.Taking sea level as 0 m, diver A is at −11 m and diver B at −39 m. A is deeper than B.
True or false?
Working:
Answer:
15.One morning it was −19°C in Harbin, −10°C in Beijing, −2°C in London and 7°C in Hong Kong. Which city was the coldest?
- A. Harbin
- B. Beijing
- C. London
- D. Hong Kong
Choose the right answer
Working:
Answer:
16.A city's lowest temperatures over a week were 6°C, 2°C, −4°C, −6°C, −6°C, −7°C and 2°C. On how many days was the lowest temperature below 0°C?
Working:
Answer:
17.Tsz-ching is on basement floor B4 and Ka-lok on B5. Who is on the lower floor?
- A. They are on the same floor
- B. Tsz-ching
- C. Ka-lok
- D. They can't be compared
Choose the right answer
Working:
Answer:
18.Taking sea level as 0 m, diver A is at −26 m and diver B at −12 m. A is deeper than B.
True or false?
Working:
Answer:

Show the answers and working

Comparing and ordering negative numbers worksheet: Answers and working

1. D → C → B → A
Sort out the negatives from the rest first. Of the negatives, which is further from 0: −13 or −3?
Negatives are smaller than 0 and the positives, and −13 is further from 0 than −3: −13 < −3 < 1 < 6.
2. 6
Count in three parts: the negatives between −4 and 0, 0 itself, and the positives between 0 and 3. The ends don't count.
Between −4 and 0 lie 4 − 1 negatives; add 0 itself and the 3 − 1 positives below 3: 6 in all.
3. 9
Count in three parts: the negatives between −6 and 0, 0 itself, and the positives between 0 and 4. The ends don't count.
Between −6 and 0 lie 6 − 1 negatives; add 0 itself and the 4 − 1 positives below 4: 9 in all.
4. 5
Count in three parts: the negatives between −2 and 0, 0 itself, and the positives between 0 and 4. The ends don't count.
Between −2 and 0 lie 2 − 1 negatives; add 0 itself and the 4 − 1 positives below 4: 5 in all.

5. C. −8
Pick out the negative numbers first; of those, the one further from 0 is smaller.
Negatives are smaller than positives, and of the two negatives −8 is further from 0: −8 is the smallest.
6. False
Find −11 and 11 on a number line and see which one is further right.
On a number line, the further right, the bigger: see whether −11 is to the right of 11.
7. False
Find −6 and 0 on a number line and see which one is further right.
On a number line, the further right, the bigger: see whether −6 is to the right of 0.
8. True
Find −9 and −10 on a number line and see which one is further right.
On a number line, the further right, the bigger: see whether −9 is to the right of −10.
9. False
Both are below zero. On a thermometer, which is lower, −3°C or −7°C?
Both are below zero: the further from 0°C, the lower on the thermometer and the colder.
10. C
The lower the liquid, the colder. Using 0°C as a guide, compare where the top of the liquid sits on each thermometer.
The lower the liquid, the colder: −11°C is the lowest.
11. False
Both are below zero. On a thermometer, which is lower, −5°C or −14°C?
Both are below zero: the further from 0°C, the lower on the thermometer and the colder.
12. True
Both are below zero. On a thermometer, which is lower, −13°C or −7°C?
Both are below zero: the further from 0°C, the lower on the thermometer and the colder.

Marking: 2 for the working, 1 for the answer, 1 for the sentence.

13. A. Ka-yee
B4 is like −4 and B5 like −5. Which is further from G (0)?
B4 is like −4 and B5 like −5: the further from 0 (the ground floor G), the lower.
14. False
The deeper, the further from sea level (0 m). Which of −11 and −39 is further from 0?
The deeper, the smaller the number (the further from 0): compare −11 and −39.
15. A. Harbin
The lower, the colder. Pick out the temperatures below zero, then see which is furthest from 0.
The lower, the colder: of the temperatures below zero, the one furthest from 0 is the coldest.
16. 4 days
Temperatures below 0°C have a minus sign. Go through them one by one; 0°C doesn't count.
Below 0°C means negative: count the temperatures with a minus sign. There are 4. 0°C is not below 0°C.
17. C. Ka-lok
B4 is like −4 and B5 like −5. Which is further from G (0)?
B4 is like −4 and B5 like −5: the further from 0 (the ground floor G), the lower.
18. True
The deeper, the further from sea level (0 m). Which of −26 and −12 is further from 0?
The deeper, the smaller the number (the further from 0): compare −26 and −12.

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