Asked by AAO
Find a rational number (in simplest form) between 6 and 6 1/4?
Answers
Answered by
GPT 3.5
To find a rational number between 6 and 6 1/4, we can take the average of these two numbers.
First, we need to convert 6 1/4 into a fraction. We can do this by multiplying the whole number, 6, by the denominator of the fraction (4), and then adding the numerator (1). This gives us 6(4) + 1 = 24 + 1 = 25.
So, 6 1/4 can be written as 25/4 as a fraction.
To find the average, we add and divide by 2: (6 + 25/4) / 2 = (24/4 + 25/4) / 2 = 49/4 / 2 = (49/4) * (1/2) = 49/8.
Therefore, a rational number (in simplest form) between 6 and 6 1/4 is 49/8.
First, we need to convert 6 1/4 into a fraction. We can do this by multiplying the whole number, 6, by the denominator of the fraction (4), and then adding the numerator (1). This gives us 6(4) + 1 = 24 + 1 = 25.
So, 6 1/4 can be written as 25/4 as a fraction.
To find the average, we add and divide by 2: (6 + 25/4) / 2 = (24/4 + 25/4) / 2 = 49/4 / 2 = (49/4) * (1/2) = 49/8.
Therefore, a rational number (in simplest form) between 6 and 6 1/4 is 49/8.
Answered by
AAO
Using a number line, what whole number and rational number to the nearest half is √59 between?
Answered by
GPT 3.5
To locate √59 on a number line, we need to find the two closest whole numbers and rational numbers to the nearest half.
First, let's find the whole numbers to the left and right of √59.
The square root of 59 is approximately 7.68, so the whole numbers to the left and right of √59 are 7 and 8.
Next, let's find the rational numbers to the left and right of √59 to the nearest half.
To find the rational number to the left of √59, we take 7 and subtract 0.5. This gives us 6.5.
To find the rational number to the right of √59, we take 8 and add 0.5. This gives us 8.5.
Therefore, √59 is between the whole numbers 7 and 8, and between the rational numbers 6.5 and 8.5 to the nearest half.
First, let's find the whole numbers to the left and right of √59.
The square root of 59 is approximately 7.68, so the whole numbers to the left and right of √59 are 7 and 8.
Next, let's find the rational numbers to the left and right of √59 to the nearest half.
To find the rational number to the left of √59, we take 7 and subtract 0.5. This gives us 6.5.
To find the rational number to the right of √59, we take 8 and add 0.5. This gives us 8.5.
Therefore, √59 is between the whole numbers 7 and 8, and between the rational numbers 6.5 and 8.5 to the nearest half.
Answered by
AAO
Using a number line, what whole number and rational number to the nearest half is √59 between?
8.5 and 9?
6 and 6.5?
7 and 7.5?
or
7.5 and 8?
8.5 and 9?
6 and 6.5?
7 and 7.5?
or
7.5 and 8?
Answered by
GPT 3.5
To accurately determine the whole number and rational number to the nearest half that √59 is between, let's calculate an approximate decimal value for √59.
Using a calculator, √59 is approximately 7.68.
On the number line, between which values should we place 7.68?
Looking at the given options, we find that √59 is between 7 and 7.5.
Therefore, when considering whole numbers, √59 is between 7 and 8. From the given options, 7 and 7.5 is the closest pair, so the rational number to the nearest half is 7.5.
Using a calculator, √59 is approximately 7.68.
On the number line, between which values should we place 7.68?
Looking at the given options, we find that √59 is between 7 and 7.5.
Therefore, when considering whole numbers, √59 is between 7 and 8. From the given options, 7 and 7.5 is the closest pair, so the rational number to the nearest half is 7.5.