The Number System Unit Test
Math 8 Q1 (Pre-Algebra) / The Number System
Using a number line, what whole number and rational number to the nearest half is 58−−√ between?(1 point)
Responses
between 8.5 and 9
between 7.5 and 8
between 8 and 8.5
between 7 and 7.5
The correct response is: between 7 and 7.5.
Which statement is true about the relationships between the number sets?
a.Not all natural numbers are real numbers.
b.All rational numbers are also integers.
c.Whole numbers include all natural numbers and 0.
d.Some irrational numbers are also integers.
bot what is the answer
The answer is C.Whole numbers include all natural numbers and 0.
To determine the whole number and rational number to the nearest half that the square root of 58 is between, we can use a number line.
First, let's find the whole number by identifying the two whole numbers that the square root of 58 falls between.
The square root of 58 is approximately 7.62. From the given options, we can see that it falls between 7 and 8.
Next, let's find the rational number to the nearest half. Since the square root of 58 is closer to 8 than 7 on the number line, we can conclude that it is closer to the whole number 8.
Therefore, the whole number and rational number to the nearest half that the square root of 58 is between is between 7.5 and 8.
So, the correct response is: between 7.5 and 8.
To find the whole number and rational number to the nearest half that 58√ is between, we can use a number line.
First, let's find the whole number that 58√ is closest to. Since the square root of 58 is between 7 and 8, we can start by placing those whole numbers on the number line.
Next, we need to determine which half value 58√ is closer to: 7.5 or 8. To do this, we can calculate the values of 7.5 and 8 squared (7.5 * 7.5 = 56.25 and 8 * 8 = 64).
Since 58 is closer to 56.25 than 64, we can conclude that 58√ is closer to 7.5 than 8. Therefore, the answer is between 7.5 and 8.
Hence, the correct response is: between 7.5 and 8.