Explanation

√0.49 = √(49/100)

= √49 / √100

= 7/10

= 0.7

Explanation

The sum of two whole numbers is always a whole number — this is called closure property of addition.

Whole numbers include 0 and all positive integers (0, 1, 2, 3, ...).

Explanation

To check if a number is exactly divisible by 4, we can check if the last two digits form a number that is divisible by 4.

2000: Last two digits are 00, which is divisible by 4.

Since 2000 ends in 00, it is exactly divisible by 4.

Explanation

Explanation

Given:

a = 2

b = 3

c = 1

Let's calculate the expression:

a² + 3c + 4ab²

= (2)² + 3(1) + 4(2)(3)²

= 4 + 3 + 4(2)(9)

= 4 + 3 + 72

= 79

Explanation

Explanation

Work = Persons × Days = 3 × 4 = 12 person-days

With 4 persons: 12 ÷ 4 = 3 days.

Explanation

a² - b² = (a - b)(a + b).

Explanation

2483 × 253 = 628199 is the exact product.

This is a simple multiplication of two whole numbers.

Explanation

Let's denote the two numbers as x and y.

Given:

xy = 96 ... (1)

x + y = 35 ... (2)

We can rewrite equation (2) as:

y = 35 - x

Substitute this into equation (1):

x(35 - x) = 96

35x - x² = 96

x² - 35x + 96 = 0

Factoring the quadratic equation:

(x - 3)(x - 32) = 0

x = 3 or x = 32

If x = 3, y = 32

If x = 32, y = 3

The greatest number is 32.