Question

Without performing the indicated divisions, copy and complete the statement using >, <, or =.

288 ÷ (–36)? 756 ÷ 18

Short answer

288 ÷ (– 36) < 756 ÷ 18

Step-by-step solution

Step-1 – The concept of quotient

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

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

Step-3 – Fill up the gaps without calculation:  288 ÷ (– 36) __ 756 ÷ 18

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

We can write: 288 ÷ (– 36), the quotient is a negative integer.

Rule: The quotient of two positive integers is positive.

We can write:756 ÷ 18, the quotient is a positive integer

Negative integer is always smaller than the positive integer.

We can write: 288 ÷ (– 36) < 756 ÷ 18