Grade 6 Math - The Number System (IAB)

Front

What is the absolute value of a number?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. For example, the absolute value of -5 is 5, written as |-5| = 5.

Front

How do you determine the distance between two points on a number line?

Back

The distance between two points on a number line is found by taking the absolute value of the difference between the two numbers. For example, the distance between -3 and 2 is |-3 - 2| = | -5 | = 5.

Front

What does it mean for one number to be greater than another on the number line?

Back

A number is greater than another if it is located to the right of that number on the number line. For example, 3 is greater than 1 because 3 is to the right of 1.

Front

What is the relationship between negative numbers and their absolute values?

Back

Negative numbers have the same absolute value as their positive counterparts. For example, |-4| = 4 and |4| = 4.

Front

How do you compare temperatures in Celsius when some are negative?

Back

To compare temperatures in Celsius, remember that a higher number indicates a warmer temperature. For example, -10°C is warmer than -20°C because -10 is greater than -20.

Front

What is the significance of zero on the number line?

Back

Zero is the point of reference on the number line. It separates positive numbers (to the right) from negative numbers (to the left).

Front

How can you tell which of two negative numbers is greater?

Back

To determine which of two negative numbers is greater, compare their absolute values. The number with the smaller absolute value is greater. For example, -3 is greater than -5 because |-3| < |-5|.

Front

What does it mean for a temperature to be 'closer to zero'?

Back

A temperature is 'closer to zero' if its absolute value is smaller. For example, -5°C is closer to zero than -10°C.

Front

What is the distance from -5.28 to 0 on the number line?

Back

The distance from -5.28 to 0 is |-5.28| = 5.28 units.

Front

If Point A is at -2 and Point B is at 3, which point is greater?

Back

Point B is greater because 3 is to the right of -2 on the number line.