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Chapter 1: Q36. (page 44)

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

288 梅 (鈥�36)? 756 梅 18

Short Answer

Expert verified

288 梅 (鈥� 36) < 756 梅 18

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: (鈥� 8) 梅 (+ 4) = 鈥� 2

Rule 2: (+ 6) 梅 (鈥� 3) = 鈥� 2

Rule 3: (+ 9) 梅 (+ 3) = +3

Rule 4: (鈥� 6) 梅 (鈥� 2) = +3

03

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 梅 (鈥� 36), the quotient is a negative integer.

Rule: The quotient of two positive integers is positive.

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

Negative integer is always smaller than the positive integer.

We can write: 288 梅 (鈥� 36) < 756 梅 18

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