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
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
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.
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