Olympiad Test: Integers - Class 7 MCQ

Two 'pluses' make a plus, two 'minuses' make a plus. A plus and a minus make a minus.

−4 × (7)  = -28  [∵ (-) x (+) = (-)]

• To solve -45 ÷ 9, we need to divide -45 by 9.
• When dividing a negative number by a positive number, the result is negative.
• Now, divide the absolute values: 45 ÷ 9 = 5.
• Since we started with a negative number, the final answer is -5.
• Therefore, -45 ÷ 9 = -5, which corresponds to option 3.

In this question, we have to multiply the integers with the same negative sign.

-5 x -6 = 30  [∵ (-) x (-) = +]

In multiplication, we have to multiply the sign of the integers also and then assign the obtained sign to the answer.
Negative sign multiplied by negative sign gives an overall positive sign.

LHS: (-8) + (-4) = -12
RHS: (-8) – (-4) = -4
⇒ -12 < -4 i.e. LHS<RHS
⇒ (- 8) + (- 4) < (- 8) – (- 4)

Thus, option C is correct.

Let other number be x.
⇒ x + (-109) = -112
⇒ x = -112 + 109 = -3

The product of 10 × (−3) is −30. This is because the multiplication of a positive number and a negative number results in a negative number.

When multiplying two negative numbers, the negatives cancel out, resulting in a positive product. Therefore:

• -67 × -1 equals 67.

45 m above sea level = +45
25 m below sea level = -25
Therefore, 45 - (-25) = 70

To solve the multiplication of two negative numbers, we follow the rule that a negative multiplied by another negative results in a positive. Therefore:

• -2 × -1 = 2.

This is because when you multiply two negatives, the negatives cancel each other out, resulting in a positive product.

When dividing a positive number by a negative number, the result is always negative. For example:

• 25 ÷ (-5) equals -5.

Temperature on Monday = -5°C
Temperature on Tuesday = Temperature on Monday - 2°C = -5°C - 2°C = -7°C

According to theBODMAS rule, we will solve the expression in the bracket first
6 × (−15 + 10) 
= 6 × (-5) = -30 [∵ -15 + 10 = -5]

So our answer will be -30

Here's how we find it:

• We know that the product of two integers is -48.
• One of the integers is -6.
• Let the other integer be x.
• So, -6 * x = -48
• To find x, we divide both sides by -6:
  • x = -48 / -6
  • x = 8

Therefore, the other integer is 8.

Manish deposits amount = 2000
Manish withdraws amount = -1000 [ writing -ve as  it is withdrawl ]
Balance of Manish's account = 2000 + (-1000) = Rs 1000

Thus option C is correct.

When a positive integer and a negative integer are added, we may either get a negative integer or positive integer.
Example:  
5 + (-2) = 3
2 + (-5) = -3

(−12 - 3) = -15
(− 6 + 3) = -3
⇒ (−12 - 3) ÷ (− 6 + 3) = (-15) ÷ (-3) = 5

a = 20, b = 40, c = 80

According to BODMAS,
a x b + a x c = 20 x 40 + 20 x 80 = 800 + 1600 = 2400

To find the product of -140 and +8, follow these steps:

• Multiply the two numbers: -140 × 8
• The calculation results in -1120.
• Since a negative number multiplied by a positive number yields a negative result, the final product is -1120.