Write the decomposition that helps you, and then round to the given place value. Draw number lines to explain your thinking. Cir
cle the rounded value on each number line.
a. 43.586 to the nearest tenth, hundredth, and one.
b. 243.875 to nearest tenth, hundredth, ten, and hundred.
a. 43.586 to the nearest tenth, hundredth, and one.
b. 243.875 to nearest tenth, hundredth, ten, and hundred.
1 answer:
43.586 to the nearest tenth :43.6 , hundredth :43.59 , and one: .44
243.875 to nearest tenth :243.9 , hundredth :243.88, ten :240 and hundred :200
<h3>Further explanation </h3>There are general rules used in rounding numbers
- 1. Determine the rounded digit
- 2. Pay attention to the digits afterward (right). If the digit shows the numbers 0, 1, 2, 3 or 4, then the digit to be rounded is fixed, and the digit on the right is 0 all
- 3. If the digit on the right shows the numbers 5, 6, 7, 8 or 9, then the digit to be rounded is added to one, and the digit on the right side is made all 0
In rounding the nearest hundreds number, then we see the digit in the number tens (right of the digit hundreds), if it is worth 0, 1, 2, 3 or 4, then it remains, but if it shows numbers 5, 6, 7, 8 or 9, then the digit to be rounded is added one, and the right-hand side is 0
Calculated from the decimal point, the place on the right represents tents, hundredths, thousandths, etc.
a. 43.586
Decomposition
ten : 4
one : 3
tenth : 5
hundredth : 8
thousandths : 6
For the tenth number is 5, the value on the right is 8 then rounded become 43.6
For the hundredth number is 8, the value on the right is 6 then rounded become 43.59
for the one number is 3 , the value on the right is 5 then rounded become 44
b.243.875
Decomposition
hundred : 2
ten : 4
one : 3
tenth : 8
hundredth : 7
thousandths : 5
a. For the tenth number is 8, the value on the right is 7 then rounded become 243.9
For the hundredth number is 7, the value on the right is 5 then rounded become 243.88
For the ten number is 4, the value on the right is 3 then rounded become 240
For the hundred number is 2, the value on the right is 4 then rounded become 200
<h3>Learn more </h3>five numbers that are round up and round down to 600
all the numbers that round to 50
round 4,398,202 to the nearest 100
Round number 4278649 to nearest 100
Keywords: round up, round down, the rounded digit
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Answer:
88.7°
Step-by-step explanation:
First, visualize. Assuming that the tower is at a perfectly 90° angle to the ground, you have a right triangle. We will call this triangle ΔABC where A is where you are, B is the top of the tower, and C is the base of the tower. Now we know the following:
∠A = ?
∠B = ?
∠C = 90
a = 346346
b = 7777
c = ?
Note: Triangles are labeled with three pairs of letters: a, b and c and A, B and C. The lower case letters, a, b and c represent the sides, and the upper case letters are the angles that are directly opposite of those sides. (see attached reference)
c is easy, c is the hypotenuse, so you can use the following equation to find the hypotenuse:
a² + b² = c²
Rearranged:
c = ±
Substitute a and b:
c = ±
Comes out to ~346433.3 meters.
Now if we use the Law of Sines:
=
=
We can use c and a, since we're trying to find what angle A is, so the ratio is set up as:
=
Well we know that C = 90, and so sin(90) in degrees (as opposed to radians) is 1. So then the set of equations is now:
=
Cross Multiply to get rid of the fractions:
346346 = 346433.3 * sin(A)
Divide:
= sin(A)
Using a calculator, if you take the arcsin of that fraction, you will get what angle A is supposed to be:
arcsin( ) = ∠A = 88.7°
