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Chapter 1: Q31. (page 44)

Simplify

360 ÷ (– 36) ÷ (– 2)

Short Answer

Expert verified

The quotient is 5

Step by step solution

01

Step-1 – The concept of quotient

In mathematics, the quotient is the number obtained by dividing one number by another number.

02

Step-2 – Rules and examples of division of integers

Rules and example of Division of integers

RULE 1: The quotient of a positive integer and a negative integer is negative.

RULE 2: The quotient of two positive integers is positive.

RULE 3: The quotient of two negative integers is positive.

Examples:

Rule 1: (– 8) ÷ (+ 4) = – 2

Rule 2: (+ 6) ÷ (– 3) = – 2

Rule 3: (+ 9) ÷ (+ 3) = +3

Rule 4: (– 6) ÷ (– 2) = +3

03

Step-3 – Evaluate:  360 ÷ (– 36) ÷ (– 2)  

Rule:The quotient of a positive integer and a negative integer is negative.

360  ÷  (-36)  ÷  (-2)  =  - 10  ÷  (-2)

Rule: The quotient of two negative integers is positive.

- 10  ÷  (-2)  =  5  

Thus, 360  ÷  (-36)  ÷  (-2)  =  5

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Most popular questions from this chapter

Find the product or quotient)

– 4 (– 8)

Explain how these vocabulary terms are related: power, base, exponent.

Explain why the absolute value of a number is never negative.

If a is a negative integer and b is a positive integer, tell whether the expression represents a positive or a negative integer. Explain your thinking.

  1. a-b
  2. b-a
  3. a+b
  4. -a-b

Which expression has a value of 12?

f.−144−12g.36−3h.2(−6)i.−3(4)
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