Test: Negative Numbers and Integers - Class 6 MCQ

Negative numbers are placed to the left of zero on a number line. This visual representation helps in understanding their values in comparison to positive integers, with larger negative numbers being further left from zero.

In the context of integers, the "opposite" of a number refers to its negative counterpart. For example, the opposite of 3 is -3, highlighting the concept of symmetry around zero on the number line.

A temperature of -10°C indicates that it is 10 degrees below freezing (0°C). This real-world application exemplifies how negative numbers are used to represent temperatures in meteorology.

Integers are defined as whole numbers that encompass both negative and positive values, as well as zero. This categorization is essential in mathematics, especially when discussing number lines and operations involving different types of numbers.

Negative integers are defined as numbers that are less than zero. This characteristic is essential for understanding the number system and how to manipulate these values in various mathematical contexts.

The absolute value of -990 is 990, as absolute value measures distance without considering the sign. This principle holds true for all negative integers, reinforcing the concept of magnitude.

Subtracting a positive integer is equivalent to adding its negative counterpart. For example, subtracting 3 from 5 can be rewritten as 5 + (-3), resulting in 2.

The operation 19 - (-9) can be simplified to 19 + 9, resulting in 28. This illustrates how subtracting a negative number effectively turns into addition, a valuable rule in integer arithmetic.

Negative numbers represent financial losses or debts. For example, if someone has -100 dollars, it signifies that they owe 100 dollars, illustrating how negative values are used to describe deficits in economics.

First, add the absolute values of the negative integers: 16 + 80 = 96. Then, add the positive integer: 5. The difference is 96 - 5 = 91, and since the larger absolute value is negative, the result is -91.

Negative numbers are utilized to represent depths below sea level, such as the elevation of the Dead Sea at -1,371 feet. This application demonstrates the importance of negative values in accurately describing geographical data.

Zero is greater than all negative integers, establishing it as a pivotal point on the number line. This relationship helps in ordering numbers and understanding their values relative to zero.

The absolute value of -33 is 33, as absolute value measures the distance from zero regardless of direction. This concept applies universally to all integers, including zero itself.

Subtracting a negative integer is equivalent to adding its positive counterpart. For instance, 5 - (-3) translates to 5 + 3, resulting in 8. This rule simplifies calculations involving negative integers.

Negative integers are used to track a bank account balance when the account is in debt. For instance, a balance of -50 indicates that the account is $50 overdrawn, showing the practical application of negative numbers in finance.

When adding two integers with the same sign, you sum their absolute values while maintaining that same sign. For example, (-3) + (-2) = -5, where both integers are negative, and their absolute values are summed.

-5 is less than -2 on the number line because it is positioned further left. The further left a number is from zero, the smaller its value, which is crucial for understanding ordering of integers.

Negative numbers are essential when we need to subtract a larger number from a smaller one, as whole numbers alone cannot accommodate such calculations. For example, to solve 3 - 5, we introduce negative numbers, allowing us to express the result as -2.

The absolute value of a number is its numerical value without regard to its sign, denoted by |n|. For instance, both |5| and |-5| equal 5, illustrating the concept of distance from zero on a number line.

To solve 7 + (-3), you effectively subtract 3 from 7, resulting in 4. This demonstrates how adding a negative number translates into subtraction, a fundamental operation with integers.