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Debora [2.8K]
3 years ago
9

How do I round 3.047 to the nearest hundred and show the math

Mathematics
2 answers:
Delicious77 [7]3 years ago
8 0

I believe you meant "hundredth" and not "hundreds"


<u><em>Answer:</em></u>

3.05


<u><em>Explanation:</em></u>

<u>To round a number to the nearest hundredth, we need to check the digit in the thousandth position:</u>

1- If this digit was less than 5, we round down. This means that the number i the hundredth position is left as it is and all digits after it are converted to zeroes

2- If this digit was equal to or greater than 5, we round up. This means that we add one to the digit in the hundredth position and then convert all digits after it to zeroes


<u>The given number is:</u>

3.047


The digit in the thousandth position is 7 which is greater than 5.

Therefore, we round up


<u>This means that our number would be:</u>

3.050


The last zero is meaningless and can be discarded leaving us with 3.05 as an answer


Hope this helps :)

dexar [7]3 years ago
5 0
I'm guessing you mean 'hundredths', not 'hundreds', else that'll be 0.

First, find the hundredths spot.
The hundredths number is 4.

Look at the next number. 
If it is more than 4, round it up.
If it is less than 5, round it down.

7 is more than 4, so we round up. 

The final answer is 3.05.

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Roman55 [17]

Answer:

9. 66°

10. 44°

11. 2\sqrt{7}

12. 2\sqrt{3}

13. 27.3

14. 33.9

15. 22°

16. 24°

Step-by-step explanation:

9. Add 120 + 80 (equals 200) and subtract that from 360 (Because all angles in a quadrilteral add to 360°), this equals 160. Plug the same number in for both variables in the two other angle equations until the two angles add to 160. For shown work on #9, write:

120 + 80 = 200

360 - 200 = 160

12(5) + 6 = 66°

19(5) - 1 = 94°

94 + 66 = 160

10. Because the two sides are marked as congruent, the two angles are as well. This means the unlabeled angle is also 68°. The interior angles of a triangle always add to 180°, so add 68+68 (equals 136) and subtract that from 180, this equals 44. For shown work on #10, write:

68 x 2 = 136

180 - 136 = 44

11. Use the Pythagorean theorem (a² + b² = c²) (Make sure to plug in the hypotenuse for c). Solve the equation. For shown work on #10, write:

a² + b² = c²

a² + 6² = 8²

a² + 36 = 64

a² = 28

a = \sqrt{28}

a = 2\sqrt{7}

12. (Same steps as #11) Use the Pythagorean theorem (a² + b² = c²) (Make sure to plug in the hypotenuse for c). Solve the equation. For shown work on #11, write:

a² + b² = c²

a² + 2² = 4²

a² + 4 = 16

a² = 12

a = \sqrt{12}

a = 2\sqrt{3}

13. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #13, write:

Sin(47°) = \frac{20}{x}

x = 27.3

14. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #14, write:

Tan(62°) = \frac{x}{18}

x = 33.9

15. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #15, write:

cos(θ) = 52/56

θ = cos^-1 (0.93)

θ = 22°

16. (Same steps as #15) Use SOH CAH TOA and solve with a scientific calculator. For shown work on #16, write:

sin(θ) = 4/10

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θ = 24°

Good luck!!

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