MATHS 2 Marks Questions

Here
(i) (5 – (10 – 4)) = -1
(ii) (0 – (3 – 2)) = -1
(iii) (-1 – (1 – 1)) = -1
(iv) (-5 – (0 – 4)) = -1
(v) (-10 – (-5 – 4)) = -1

Here
(i) (13 – 1) × 1 = 12
(ii) (10 – 4) × 2 = 12
(iii) (1 – 3) × (-6) = 12
(iv) (14 – 10) × 3 = 12
(v) (16 – 13) × 4 = 12

Here
(i) 0 + -6 × 6 = -36
(ii) 4 + (-5 × 8) = -36
(iii) -4 + -8 × 4 = -36
(iv) 12 + -8 × 6 = -36
(v) -3 + 3 × (-11) = -36

Here 207 × (-33 + 7)
= 207 × (-26)
= -5382
Now -207 × (33 – 7)
= -207 × 26
= -(207 × 26)
= -5382

Here -547 × 971 = (-548 + 1) × (972 – 1)
= -548 × 972 + 548 + 972 – 1
= -532656 + 548 + 972 – 1
= -531137

Now -548 × 971 = -548 × (972 – 1)
= -548 × 972 – 548 × (-1)
= -532656 + 548
= -532108

Given: (-547) × 972 = -532656
We need to find (-547) × 972 = (-548 + 1) × 972
= -548 × 972 + 972
= -532656 + 972
= -531684

Current temperature = 8°C
The temperature drops by 5°C each hour
Total drop in temperature = Temperature drop in 1 hour × no. of hours = 5 × 4
Temperature after 4 hours = 8 – 4 × 5
Hence required expression is 8 – (5 × 4).

Given expression is 47 – 56 + 14 – 8 + 2 – 8 + 5 = -4 = E₁ (Let)
Here we see that the second expression is the negative of the first expression, then
E₂ = -47 + 56 – 14 + 8 – 2 + 8 – 5
= -1(47 – 56 + 14 – 8 + 2 – 8 + 5) (Taking -1 common)
= -1(68 – 72)
= -1(-4)
= 4

To find the value of (-46) ÷ (-23), we divide the numbers and apply the rule that a negative number divided by a negative number results in a positive number.
∴ (-46) ÷ (-23) = 2

To find the value of 36 ÷ (-18), we divide the numbers and apply the rule that a positive number divided by a negative number results in a negative number.
∴ 36 ÷ (-18) = -(36 ÷ 18) = -2

To find the value of -16 × (-5), we multiply the numbers and apply the rule that a negative number multiplied by a negative number results in a positive number.
∴ -16 × (-5) = 80

The temperature is lowered at the rate of 5°C every hour for 10 hours.
Total temperature drop = 5°C/hour × 10 hour = 50°C
The initial room temperature is 32°C.
To find the final temperature, we have to subtract the initial temperature from the total temperature drop.
∴ Final temperature = 32 – 50 = -18°C

To find the value of 14 × (-15), we multiply the numbers and apply the rule that a positive number multiplied by a negative number results in a negative number.
∴ 14 × (-15) = -(14 × 15) = -210

Rule for multiplying two integers:
- Multiply their absolute values.
-If the integers have different signs, the product is negative.
- If both integers have the same sign, the product is positive.