Using a number line, what whole number and rational number to the nearest half is 40−−√ between?(1 point)
40−−√ is between
and
.
To find the whole number and rational number to the nearest half that 40−−√ is between, we need to determine which whole number and fraction is closest to 40−−√.
To do this, we can compare 40−−√ to the nearest whole numbers and fractions.
Let's start with the whole numbers:
When we compare 40−−√ to the whole number 6, we find that 40−−√ is greater than 6.
When we compare 40−−√ to the whole number 7, we find that 40−−√ is less than 7.
So, we know that 40−−√ is between 6 and 7.
Next, let's consider the fractions to the nearest half:
We can find the nearest half by comparing 40−−√ to the fractions 5/2 and 6/2.
When we compare 40−−√ to 5/2, we find that 40−−√ is greater than 5/2.
When we compare 40−−√ to 6/2, we find that 40−−√ is less than 6/2.
So, we know that 40−−√ is between 5/2 and 6/2, which simplifies to 5/2 and 3.
Therefore, 40−−√ is between the whole number 6 and the rational number 5/2.
Express 811 as a repeating decimal. Mark the cycle of repeating digits with a bar.(1 point)
Monique measured the widths of several stamps in her collection of world stamps. The measurements are 158in., 11116in., 134in., and 112in. What is the width of the widest stamp?(1 point)
in.
To determine the whole number and rational number that the square root of 40 is between on a number line to the nearest half, we need to find the two consecutive half numbers that the square root of 40 falls between.
Let's start by finding the square root of 40: √40 ≈ 6.324555.
The nearest half numbers to 6.324555 are 6.5 and 6. Therefore, the square root of 40 is between 6 and 6.5 on the number line.
So, the whole number and rational number to the nearest half that the square root of 40 is between are 6 and 6.5.