3 marks

Question 13 Marks

Look at the Celsius Thermometer and answer the following questions:
i) What is the temperature that is shown in the Thermometer?
ii) Where will you mark the temperature 5°C below 0°C in the Thermometer?
iii) What will be the temperature if 10°C is reduced from the temperature shown in the Thermometer?
iv) Mark the opposite of 15°C in the Thermometer

Answer

i) Temperature is shown in the Thermometer is −10°C
ii) 5°C below 0°C is at −5°C.
iii) Thermometer shows – 10°C if 10°C is reduced that means −10°C – (10°C) gives − 20°C.
iv) Opposite of 15°C is −15°C

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Question 23 Marks

P, Q, R and S are four different integers on a number line. From the following clues, find these integers and write them in ascending order.
i) S is the least of the given integers.
ii) R is the smallest positive integer.
iii) The integers P and S are at the same distance from 0.
iv) Q is 2 units to the left of integer R.

Answer

According to the clues, plotting the points on a number line, we get

As S is the least of the given integers, it is placed at the left most end.
Since R is the smallest positive integer, it is placed next to the right of 0.
As Q is 2 units to the left of R it is placed as the left next number of 0.
P and S are at the some distance from 0. P is placed opposite to S.
∴ Ascending order: S < Q < 0 < R < P.

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Question 33 Marks

Arrange the following integers in ascending order
−11, 12, −13, 14, −15, 16, −17, 18, −19, −20

Answer

$
-11,12,-13,14,-15,16,-17,18,-19,-20
$
⇒ First separating the positive integers $12,14,16,18$ and the negative integers $-11,-13,-15,-17$, $-19,-20$.
⇒Then arranging the positive integers in ascending order we get 12, 14, 16, 18 and negative integers in ascending order as $-20,-19,-17,-15,-13,-11$
⇒ Now the ascending order: $-20,-19,-17,-15,-13,-11,12,14,16,18$.

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Question 43 Marks

Arrange the following integers in ascending order.
−28, 6, −5, −40, 8, 0, 12, −1, 4, 22

Answer

$
-28,6,-5,-40,8,0,12,-1,4,22
$
⇒ Positive integers are $6,8,12,4,22$ Negative integers are $-28,-5,-40,-1$
⇒ Arranging the positive integers in ascending order we get 4,6,8, 12, 22 and the negative integers in ascending order $-40,-28,-5,-1$
⇒ The number 0 is neither positive nor negative and stand in the middle
⇒ In ascending order: $-40,-28,-5,-1,0,4,6,8,12,22$

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Question 53 Marks

Arrange the following integers in ascending order.
−100, 10, −1000, 100, 0, −1, 1000, 1, −10

Answer

$
-100,10,-1000,100,0,-1,1000,1,-10
$
⇒ Separating positive integers 10, 100, 1000, 1 and negative integers $-100,-1000,-1,-10$.
⇒ Now the positive integers in ascending order 1,10,100, 1000 and the negative integers in ascending order $-1000,-100,-10,-1$
⇒ Also ' 0 ' stand in the middle as it is neither positive nor negative.
⇒ $\therefore$ The numbers in ascending order: $-1000,-100,-10,-1,0,1,10,100,1000$.

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