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lesya [120]
2 years ago
7

What is 481 ÷ 9 = because i’ve been getting the answer wrong?

Mathematics
2 answers:
ANTONII [103]2 years ago
8 0

Answer:

53.4 repeating

Step-by-step explanation:

Step 1:Start by setting it up with the divisor 9 on the left side and the dividend 481 on the right side like this:         9⟌481

Step 2:The divisor (9) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top:    0    9⟌481

Step 3:Multiply the divisor by the result in the previous step (9 x 0 = 0) and write that answer below the dividend.     0    9⟌481   0  

Step 4:Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below.     0    9⟌481   -0      4  

Step 5:Move down the 2nd digit of the dividend (8) like this:    0    9⟌481   -0      48 

Step 6:The divisor (9) goes into the bottom number (48), 5 time(s). Therefore, put 5 on top:    05   9⟌481   -0      48 

Step 7:Multiply the divisor by the result in the previous step (9 x 5 = 45) and write that answer at the bottom:    05   9⟌481   -0      48     45 

Step 8:Subtract the result in the previous step from the number written above it. (48 - 45 = 3) and write the answer at the bottom.    05   9⟌481   -0      48    -45      3 

Step 9:Move down the last digit of the dividend (1) like this:    05   9⟌481   -0      48    -45      31

Step 10:The divisor (9) goes into the bottom number (31), 3 time(s). Therefore put 3 on top:    053  9⟌481   -0      48    -45      31

Step 11:Multiply the divisor by the result in the previous step (9 x 3 = 27) and write the answer at the bottom:    053  9⟌481   -0      48    -45      31     27

Step 12:Subtract the result in the previous step from the number written above it. (31 - 27 = 4) and write the answer at the bottom.    053  9⟌481   -0      48    -45      31   - 27      4

You are done, because there are no more digits to move down from the dividend.The answer is the top number and the remainder is the bottom number.Therefore, the answer to 481 divided by 9 calculated using Long Division is: 53 4 Remainder

horsena [70]2 years ago
3 0

Answer: 53.44

Step-by-step explanation:

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81x%5E4-16 Start with the given expression.

%289x%5E2%29%5E2-16 Rewrite 81x%5E4 as %289x%5E2%29%5E2.

%289x%5E2%29%5E2-%284%29%5E2 Rewrite 16 as %284%29%5E2.

Notice how we have a difference of squares A%5E2-B%5E2 where in this case A=9x%5E2 and B=4.

So let's use the difference of squares formula A%5E2-B%5E2=%28A%2BB%29%28A-B%29 to factor the expression:

A%5E2-B%5E2=%28A%2BB%29%28A-B%29 Start with the difference of squares formula.

%289x%5E2%29%5E2-%284%29%5E2=%289x%5E2%2B4%29%289x%5E2-4%29 Plug in A=9x%5E2 and B=4.

So this shows us that 81x%5E4-16 factors to %289x%5E2%2B4%29%289x%5E2-4%29.

In other words 81x%5E4-16=%289x%5E2%2B4%29%289x%5E2-4%29.

Now let's factor 9x%5E2-4 further

-------------------------------------

 

9x%5E2-4 Start with the given expression.

%283x%29%5E2-4 Rewrite 9x%5E2 as %283x%29%5E2.

%283x%29%5E2-%282%29%5E2 Rewrite 4 as %282%29%5E2.

Notice how we have a difference of squares A%5E2-B%5E2 where in this case A=3x and B=2.

So let's use the difference of squares formula A%5E2-B%5E2=%28A%2BB%29%28A-B%29 to factor the expression:

A%5E2-B%5E2=%28A%2BB%29%28A-B%29 Start with the difference of squares formula.

%283x%29%5E2-%282%29%5E2=%283x%2B2%29%283x-2%29 Plug in A=3x and B=2.

So this shows us that 9x%5E2-4 factors to %283x%2B2%29%283x-2%29.

In other words 9x%5E2-4=%283x%2B2%29%283x-2%29.

----------------------------------------------------------------

Answer:

So 81x%5E4-16 completely factors to %289x%5E2%2B4%29%283x%2B2%29%283x-2%29

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