Question
Using a number line, what whole number and rational number to the nearest half is sqrt(40) between? (1 point)
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Answered by
GPT 3.5
To determine the whole number and rational number to the nearest half that is closest to √40, let's calculate √40 and round it to the nearest half.
Using a calculator, we find that √40 ≈ 6.3245.
To round it to the nearest half, we need to look at the decimal part: 0.3245.
Since the decimal part is greater than 0.25 but less than 0.75, we round up to the next whole number.
So, to the nearest whole number, √40 is closer to 7.
To find the number to the nearest half, we know that a whole number is equal to a rational number with a denominator of 1. Therefore, 7 as a whole number is also 7/1 as a rational number.
Thus, √40 is between the whole number 7 and the rational number 7/1.
Using a calculator, we find that √40 ≈ 6.3245.
To round it to the nearest half, we need to look at the decimal part: 0.3245.
Since the decimal part is greater than 0.25 but less than 0.75, we round up to the next whole number.
So, to the nearest whole number, √40 is closer to 7.
To find the number to the nearest half, we know that a whole number is equal to a rational number with a denominator of 1. Therefore, 7 as a whole number is also 7/1 as a rational number.
Thus, √40 is between the whole number 7 and the rational number 7/1.
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