However, positive numbers such as 3.2 are always to the right of negative numbers such as −4.1, so 3.2 > −4.1 or −4.1 −4.1 and −4.6 −4.1. This point is 1.25 units to right of 0, so it has the correct distance but in the wrong direction. The point for should be 1.25 units to the left of 0. Negative numbers are to the left of 0, not to the right. You may have correctly found 1 unit to the left, but instead of continuing to the left another 0.25 unit, you moved right. Notice that this point is between 0 and the first unit mark to the left of 0, so it represents a number between −1 and 0. Point B is the only point that’s more than 1 unit and less than 2 units to the left of 0. Negative numbers are to the left of 0, and should be 1.25 units to the left. The point should be 1.25 units to the left of 0. This point is just over 2 units to the left of 0. This is more than 1 unit away, but less than 2. So to place −1.6 on a number line, you would find a point that is |−1.6| or 1.6 units to the left of 0. The negative sign means the number is to the left of 0, and the absolute value of the number is the distance from 0. The opposite of is, for example.īe careful when placing negative numbers on a number line. Each positive rational number has an opposite. Īs you have seen, rational numbers can be negative. In the following illustration, points are shown for 0.5 or, and for 2.75 or. You can locate these points on the number line. Įxamples of rational numbers include the following.Īll of these numbers can be written as the ratio of two integers. Regardless of the form used, is rational because this number can be written as the ratio of 16 over 3, or. Rational numbers are numbers that can be written as a ratio of two integers. This number belongs to a set of numbers that mathematicians call rational numbers. The fraction, mixed number, and decimal 5.33… (or ) all represent the same number.
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