Test: Natural Numbers and Whole Numbers - Class 6 MCQ

The Multiplicative Identity property asserts that any number multiplied by 1 remains unchanged (a × 1 = a), highlighting the unique role of 1 in multiplication.

The sum of the first n odd numbers equals n². For example, the sum of the first three odd numbers (1 + 3 + 5) equals 9, which is 3².

The statement 0 ÷ b = 0 holds true for any non-zero whole number b, as dividing zero by any non-zero number results in zero.

Using the distributive property, 2 × (3 + 5) = 2 × 3 + 2 × 5 = 6 + 10 = 16. However, when evaluating directly, it equals 2 × 8 = 16. It confirms the distributive property’s effectiveness in simplifying calculations.

The Commutative Property of addition states that changing the order of the numbers being added does not change the result (a + b = b + a).

Natural numbers are the counting numbers starting from 1 and are used for counting objects such as books, toys, or stars. They form the basis of basic counting in mathematics.

Whole numbers include all natural numbers and the number 0. This means they start from 0 and go on infinitely (0, 1, 2, 3, ...).

The additive identity is 0, because adding 0 to any whole number does not change the number (a + 0 = a).

Any non-zero whole number divided by itself equals 1 (a ÷ a = 1), which is a fundamental property of division illustrating that any number is its own multiplicative identity.

When subtracting using a number line, you move right to the larger number (5) and then move left by the smaller number (3). This results in reaching 2, so 5 - 3 = 2.

The Closure Property states that when you add two whole numbers, the result is always another whole number, confirming that the set of whole numbers is closed under addition.

To visualize addition on a number line, you start at 0 and move right by the units of the first number, then move right again by the units of the second number. The final point represents the sum.

When any whole number is multiplied by 0, the result is always 0 (a × 0 = 0). This is a fundamental property of multiplication.

The statement a - b = b - a shows that subtraction does not yield the same result when the order of the numbers is reversed, confirming that subtraction is not commutative.

Multiplication on a number line is represented as repeated jumps of equal size, where you take jumps equal to the first number as many times as specified by the second number.

A predecessor of a natural number is the number that comes before it in the counting sequence. For example, the predecessor of 5 is 4.

If the minuend (the number from which another number is subtracted) is smaller than the subtrahend, the result of the subtraction will be negative, which is not a whole number.

The Division Algorithm states that for a whole number x divided by a non-zero whole number y, there exist a quotient q and a remainder r such that x = y × q + r, where r is less than y.

The successor of a natural number is found by adding 1 to that number. Therefore, the successor of 7 is 7 + 1 = 8.

The Associative Property of addition indicates that how numbers are grouped in an addition operation does not change the result, meaning (a + b) + c = a + (b + c).