Question

For which numbers, N, is N * 3 greater than 3? In other words, for which numbers, N, is N * 3 > 3? Consider all kinds of numbers for N: fractions, decimals, and positive, and negative numbers. Investigate this question by trying a number of examples and by thinking about the meaning and rules of multiplication.

Answer 1

To find the numbers for which N * 3 is greater than 3, we need to consider different cases: positive numbers, negative numbers greater than -1, and fractions or decimals greater than 1/3.

Step-by-step explanation:

To find the numbers for which N * 3 is greater than 3, we need to consider different cases: when N is a positive number, when N is a negative number, and when N is a fraction or decimal.

If N is positive, any positive number will satisfy the condition. For example, 2 * 3 = 6 and 4 * 3 = 12.

If N is negative, any negative number greater than -1 will satisfy the condition. For example, (-2) * 3 = -6.

If N is a fraction or decimal, any number greater than 1/3 will satisfy the condition. For example, 0.5 * 3 = 1.5 and 2/3 * 3 = 2.

Therefore, the numbers that satisfy the condition N * 3 > 3 are all positive numbers, negative numbers greater than -1, and fractions or decimals greater than 1/3.