Describe in words where cube root of 52 would be plotted on a number line.
a) Between 4 and 5, but closer to 5
b) Between 4 and 5, but closer to 4
c) Between 3 and 4, but closer to 4
d) Between 3 and 4, but closer to 3
To determine where the cube root of 52 would be plotted on a number line, we need to estimate its value.
The cube root function is the inverse of the cube function. Since 2^3 = 8 and 3^3 = 27, we can estimate that the cube root of 52 is between 3 and 4.
Option (c) states that the cube root of 52 is between 3 and 4, but closer to 4. This is the correct answer.
To determine where the cube root of 52 would be plotted on a number line, you can consider the approximate values of cube roots:
The cube root of 27 is approximately 3, and the cube root of 64 is approximately 4.
Since 52 lands between these two values, the cube root of 52 will fall between 3 and 4.
Therefore, the correct option is:
c) Between 3 and 4, but closer to 4.
To determine where the cube root of 52 would be plotted on a number line, we can make use of estimation.
First, let's find the perfect cubes that are close to 52. The perfect cubes close to 52 are 27 (which is 3 cubed) and 64 (which is 4 cubed).
The cube root of 52 lies between the cube roots of 27 and 64. The cube root of 27 is 3, and the cube root of 64 is 4.
Therefore, the cube root of 52 must lie between 3 and 4 on the number line.
Looking at the given answer choices:
a) Between 4 and 5, but closer to 5 - This is not correct because the cube root of 52 is less than 4.
b) Between 4 and 5, but closer to 4 - This is not correct because the cube root of 52 is greater than 4.
c) Between 3 and 4, but closer to 4 - This is the correct answer because the cube root of 52 is greater than 3 and closer to 4.
d) Between 3 and 4, but closer to 3 - This is not correct because the cube root of 52 is closer to 4 than to 3.
Therefore, the cube root of 52 would be plotted between 3 and 4 on a number line, closer to 4. The correct answer is option c) Between 3 and 4, but closer to 4.