Question

Describe in words where cube root of 24 would be plotted on a number line.

Between 2 and 3, but closer to 2
Between 2 and 3, but closer to 3
Between 1 and 2, but closer to 1
Between 1 and 2, but closer to 2

Answer 1

Answer: A. between 2 and 3, but closer to 2.

Explanation:

The cube root of 24 is a number that, when multiplied by itself three times, equals 24. To determine where this cube root would be plotted on a number line, we can compare it to other numbers.

Let's start by finding the perfect cubes of some numbers. The perfect cube of 2 is 2*2*2 = 8, and the perfect cube of 3 is 3*3*3 = 27. Since 24 is between 8 and 27, we know that the cube root of 24 would be between 2 and 3 on the number line.

Now, to determine if it's closer to 2 or 3, we can consider the difference between the cube of each of these numbers and 24. The cube of 2 is 2*2*2 = 8, and the difference between 8 and 24 is 24-8 = 16. The cube of 3 is 3*3*3 = 27, and the difference between 27 and 24 is 27-24 = 3.

Since 16 is greater than 3, we can conclude that the cube root of 24 is closer to 2 than to 3. Therefore, it would be plotted on the number line between 2 and 3, but closer to 2.

Answer 2

Explanation:

In words the place that the cube root of 63 would appear on the number line would be: between 3 and 4, but closer to 4

How to find the cube root

The cube root of 63 would be gotten from a calculator when we use this formula

The solution that we would have from the calculator would be 3.97. The value 3.97 is known to be greater than 3 by a lot but just a little less than 4 on the number line.

3.97 can be approximated to be 4. Hence we can say that In words the place that the cube root of 63 would appear on the number line would be: between 3 and 4, but closer to 4