(4,6) rounded to the nearest hundredth
(4,6) rounded to the nearest hundredth is also (4,6) because there are no decimal places to round to.
Apply the Pythagorean Theorem to find the length between the two points. Round your answer to the nearest hundredth. the 2 points are 3,2 and 7,8
To find the length between the points (3,2) and (7,8), we can use the Pythagorean theorem. According to the theorem, the distance between two points (x1, y1) and (x2, y2) in a two-dimensional coordinate plane is given by:
distance = √((x2 - x1)^2 + (y2 - y1)^2)
Let's apply this formula to the given points:
distance = √((7 - 3)^2 + (8 - 2)^2)
= √(4^2 + 6^2)
= √(16 + 36)
= √52
≈ 7.21
Therefore, the length between the points (3,2) and (7,8) rounded to the nearest hundredth is approximately 7.21.
wrong
Apologies for the mistake. Let's calculate it correctly:
Using the Pythagorean theorem:
distance = √((7 - 3)^2 + (8 - 2)^2)
= √(4^2 + 6^2)
= √(16 + 36)
= √52
≈ 7.21
Rounding to the nearest hundredth, the length between the points (3,2) and (7,8) is approximately 7.21.
To round a number to the nearest hundredth, we look at the digit in the thousandth place (the third digit after the decimal point).
In the given number (4,6), there is no decimal point or any digits after the number 6, so it is already rounded to the nearest whole number.
If there were digits after the number 6, we would look at the digit in the thousandth place to determine whether to round up or down. If the digit in the thousandth place is 5 or higher, we round up. If it is 4 or lower, we round down.
For example, if we had the number 4.678, the digit in the thousandth place would be 8. Since 8 is greater than 5, we would round up to the nearest hundredth, which would be 4.68.