Explanation

Natural numbers are counting numbers starting from 1, 2, 3, 4...

Explanation

The property that states:

a + b = b + a

It is known as the Commutative property of addition.

It indicates that the order of the numbers being added does not change the result.

Explanation

To find the median, let's first arrange the observations in order:

3, 3, 4, 4, 5, 6, 8

Since there are 7 observations (an odd number), the median is the middle value, which is the 4th observation:

3, 3, 4, 4, 5, 6, 8

Explanation

A rational number is defined as a number that can be expressed as the ratio of two integers, i.e., a/b, where a and b are integers and b ≠ 0.

Every rational number can be written in the form of a fraction, where the numerator and denominator are integers.

Example: 3/4, 22/7, 1/2, etc.

Explanation

5/2 is a real number (a rational number), as it can be written as a finite decimal (2.5).

Explanation

Let's evaluate each statement:

1. -5 + 1 = -4 (not 4), so this statement is false.

2. 4 - 5 = -1 (true)

3. 2 + (-1) = 1 (true)

4. -7 + (-6) = -13 (true)

Explanation

Loga (m × n) = Loga m + Loga n.

This is a logarithmic property: the log of a product is the sum of the logs.

Explanation

"3x" usually represents 3 rectangles (each representing x).

"+2" typically means 2 small unit squares (each representing 1).

So, a model showing 3 long bars and 2 small squares matches 3x + 2.

Explanation

3 × 10¹ = 3 × 10 = 30.

4 × 10⁰ = 4 × 1 = 4.

30 + 4 = 34.

Explanation

The diameter is the full distance across the circle through the center.

If the circle is labeled or measured and shows a span of 36 cm across, then the diameter = 36 cm is correct.