Numbers and Operations - GED Math

The symbols express the idea that any number is equal to itself. This is the reflexive property of equality.

Add vertically, aligning the decimal points:

Looking at a number line, you can visualize the distance between positive and negative numbers:

There are THREE units between -2 and 1

There are SIX units between 1 and 7.

There are SEVEN units between -2 and 5, so this is the greatest distance.

The first step is to find out the values of A and B by counting the units between the given numbers.

A) The distance between -2 and 5 on a number line is 7.

B) The distance between -1 and 3 on a number line is 4.

The symbols express the idea that if a number is greater than a second number, which is greater than a third, then the first number is greater than the third. This is the transitive property of inequality.

The symbols express the idea that if three numbers are added, the same sum results regardless of which numbers are added first. This is the associative property of addition.

The whole numbers comprise 0 and the positive integers. is a negative integer, so it belongs to the set of integers, but not the set of whole numbers. Also, all integers are rational by definition, since every integer can be expressed as the quotient of two integers (the integer divided by 1, for example). Therefore, is an integer and a rational number, but not a whole number, and the correct response is two.

Only one of the choices is positive - , which is the quotient of two negative numbers. This must be the correct response.

Make sure that your units cross out properly.

A yard comprises 36 inches, so multiply by 36:

One yard is equal to 216 inches.

Convert to a decimal by dividing 5 by 9.

, so it falls between 0.55 and 0.56 on the number line. Point is the correct response.

, so

Point is in this range, so this is the correct response.

The decimal, , is read as two-hundred forty-three thousandths, which translates to:

Multiply numerators, then multiply denominators. We can cross-cancel the 9 and the 3 by dividing both by 3:

To add fractions, you have to make sure that the fractions share a common denominator — that the denominator of both numbers is the same. Because these fractions do not have a common denonominator, you use the Lowest Common Multiple rule to find a common denominator.

For these fractions, the lowest common multiple is . and .

For the fractions to remain the same, you have to multiply the numerator and the denominator in by and the numerator and the denominator in by . Once you have found the common denominator and have multiplied the numerator and denominator for each fraction, you can add the fractions.

Because the numerator is larger than the denominator, you simplify the fraction to make it a mixed number.