The smallest natural number is 1.
As natural numbers begin from 1 and go onwards (1, 2, 3, ...).
0 is not considered a natural number in standard mathematics.
The given set:
Z = {0, ±1, ±2, ±3, ±4, ...}
This set includes all integers, both positive and negative, as well as zero.
Let's represent the situation with an equation:
Initial deposit = Rs. 50,000
Weekly deposit = Rs. 2,500
Target savings = Rs. 75,000
Let x be the number of weeks:
50,000 + 2,500x = 75,000
Fraction given away = 1/4 + 2/3
= 3/12 + 8/12
= 11/12
Fraction left = 1 - 11/12
= 1/12
Let's say the number of plants in each row is x.
Since there are as many rows as there are plants in each row, the total number of plants is x * x = x².
Given that the total number of plants is 625:
x² = 625
x = √625
x = 25
The model shown (– – – → + +) suggests starting with a negative and ending with a positive result.
–2 + 3 = 1, which matches that transition from negative to positive.
The initial population is 2¹⁶ insects.
If the population doubles, the new population will be 2 * 2¹⁶ = 2¹⁷.
Discount means a reduction in the marked or original price of an item.
It is commonly offered during sales, promotions, or special offers to attract buyers.
Given the points (x + 5, 8) and (9, y - 6) are equal, we can set up the equations:
x + 5 = 9 ... (1)
8 = y - 6 ... (2)
Solving (1):
x = 9 - 5
x = 4
Solving (2):
y = 8 + 6
y = 14
The values of x and y are x = 4 and y = 14.
Given the product:
(5i) × (-2i)
= -10i²
Since i² = -1:
= -10(-1)
= 10