21 pairs
<h3>Further explanation</h3>A whole number is one of the numbers set {0, 1, 2, 3, 4, ...}. They are a set of positive integers along with zero and don't include the fraction or decimal numbers.
We determine how many pairs of whole numbers have a sum of 40. Let us notice below.
- (0, 40)
- (1, 39)
- (2, 38)
- (3, 37)
- (4, 36)
- (5, 35)
- (6, 34)
- (7, 33)
- (8, 32)
- (9, 31)
- (10, 30)
- (11, 29)
- (12, 28)
- (13, 27)
- (14, 26)
- (15, 25)
- (16, 24)
- (17, 23)
- (18, 22)
- (19, 21)
- (20, 20)
Hence, there are 21 pairs.
The next setting is a repeat pair. Remember, because the order in pairs does not have an effect so that , vice versa. Exactly like this:
(21, 19) ⇔ (19, 21), (22, 18) ⇔ (18, 22)
and so forth, until (39, 1) ⇔ (1, 39), (40, 0) ⇔ (0, 40)
Note, we can use the principle of finding many terms from the arithmetic sequence, even though they are not too many.
The general term of an arithmetic sequence (aₙ) with common difference d is
Given:
- The first term a₁ = 0
- The common difference d = 1 (from 1 - 0, 2 - 1, etc.)
- The last term aₙ = 20
How many terms (n)?
We get , i.e., whole numbers pairs that have a number of 40.
A complete description of natural numbers, whole numbers, and integers can be explored at brainly.com/question/1852063.
<h3>Learn more</h3>- Whole numbers are sometimes integers brainly.com/question/1852063
- What is the difference in the value of 7 at 67,908 and 76,908 in the unit form brainly.com/question/120717
- About the unit conversion factor brainly.com/question/5009365
Keywords: whole numbers, how many pairs, a sum of 40, exact, positive numbers, integers, natural, arithmetic sequence