Question

Exercise 1.2
1. Write a pair of integers whose:
(1) sum is -3 (ii) difference is -5 (iii) difference is 4
2. (1) Write a pair of negative integers whose difference is 5.
(17) Write a negative integer and a positive integer whose sum is -8.
(ii) Write a negative integer and a positive integer whose difference is -3.
3. Write two integers which are smaller than 5 but their difference is greater
than -- 5.
In a quiz, team Ascored -30, 20,0 and team B scored 20, 0, -30 in three successive
rounds. Which team scored more? Can we say that we can add integers in any
order?
Find the sum of integers - 72, 237, 84, 72, -184, -37.​

Answer 1

Answer:

Integer

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For computer representation, see Integer (computer science). For the generalization in algebraic number theory, see Algebraic integer.

The Zahlen symbol, often used to denote the set of all integers

The Zahlen symbol, often used to denote the set of all integers (see List of mathematical symbols)

An integer (from the Latin integer meaning "whole")[note 1] is a number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, 5+

1

/

2

, and √2 are not.

The set of integers consists of zero (0), the positive natural numbers (1, 2, 3, ...), also called whole numbers or counting numbers,[2][3] and their additive inverses (the negative integers, i.e., −1, −2, −3, ...). The set of integers is often denoted by a boldface Z ("Z") or blackboard bold {\displaystyle \mathbb {Z} } \mathbb {Z} (Unicode U+2124 ℤ) standing for the German word Zahlen ([ˈtsaːlən], "numbers").[4][5]

Z is a subset of the set of all rational numbers Q, in turn a subset of the real numbers R. Like the natural numbers, Z is countably infinite.

The integers form the smallest group and the smallest ring containing the natural numbers. In algebraic number theory, the integers are sometimes qualified as rational integers to distinguish them from the more general algebraic integers. In fact, the (rational) integers are the algebraic integers that are also rational numbers.

Answer 2

Step-by-step explanation:

Exercise 1.2

1. Write a pair of integers whose:

(1) sum is -3 (ii) difference is -5 (iii) difference is 4

2. (1) Write a pair of negative integers whose difference is 5.

(17) Write a negative integer and a positive integer whose sum is -8.

(ii) Write a negative integer and a positive integer whose difference is -3.

3. Write two integers which are smaller than 5 but their difference is greater

than -- 5.

In a quiz, team Ascored -30, 20,0 and team B scored 20, 0, -30 in three successive

rounds. Which team scored more? Can we say that we can add integers in any

order?

Find the sum of integers - 72, 237, 84, 72, -184, -37.