# 480__-_97

# How to Solve the 480__-_97 Math Problem

If you are looking for a quick and easy way to solve the 480__-_97 math problem, you have come to the right place. In this article, we will show you how to use the order of operations and some simple tricks to get the correct answer in no time.

The 480__-_97 math problem is a type of expression that involves subtraction and multiplication. To solve it, we need to follow the order of operations, which tells us to do the calculations inside parentheses first, then exponents, then multiplication and division from left to right, and finally addition and subtraction from left to right.

So, let’s start by looking at the expression:

`480__-_97`

The first thing we notice is that there is a blank space between 480 and -. This means that we need to fill in a number or a symbol that makes sense in this context. One possible option is to use a multiplication sign (*), which would make the expression:

`480*-_97`

Now, we can apply the order of operations. The only operation we have is multiplication, so we just need to multiply 480 by -_97. To do this, we can use a trick: multiply 480 by 100 and then divide by -_1. This gives us:

`(480*100)/-_1`

Simplifying, we get:

`48000/-_1`

Now, we need to deal with the -_1 part. This is a negative number with an underscore after it. The underscore means that we need to repeat the digit before it infinitely. So, -_1 is actually equal to -1.111111…, which is a repeating decimal. To multiply 48000 by this number, we can use another trick: multiply 48000 by 9 and then subtract 48000. This gives us:

`(48000*9)-48000`

Simplifying, we get:

`432000-48000`

The last step is to subtract these two numbers. To do this, we can align them by their place values and subtract each column from right to left. This gives us:

` 432000`

- 48000

-------

384000

Therefore, the final answer is:

`384000`

We have successfully solved the 480__-_97 math problem using the order of operations and some simple tricks. If you enjoyed this article, please share it with your friends and leave a comment below.

If you are wondering why we used those tricks to multiply 480 by -_97 and -_1, here is the explanation. The first trick, multiplying 480 by 100 and then dividing by -_1, is based on the fact that multiplying or dividing by powers of 10 is equivalent to moving the decimal point to the right or left. For example, 480*100 = 48000 because we moved the decimal point two places to the right. Similarly, 48000/-_1 = 48000/-10 = 4800/-1 = 4800/-10 = 480/-1 = 480/-10 = 48/-1 = 48/-10 = 4.8/-1 = -4.8 because we moved the decimal point one place to the left each time we divided by -_1.

The second trick, multiplying 48000 by 9 and then subtracting 48000, is based on the fact that multiplying by a repeating decimal is equivalent to multiplying by a fraction with a denominator of 9s. For example, -_1 = -1.111111… = -1 + (-0.111111…) = -1 + (-1/9) = -10/9. So, multiplying by -_1 is the same as multiplying by -10/9. To multiply a number by a fraction, we can multiply the numerator and denominator by the same number to get an equivalent fraction. For example, -10/9 = (-10*1000)/(9*1000) = -10000/9000. Then, we can multiply the number by the numerator and divide by the denominator. For example, 48000*-_1 = 48000*-10/9 = (48000*-10000)/9000 = -480000000/9000. To simplify this calculation, we can notice that both numbers are divisible by 1000, so we can divide them by 1000 to get -480000/9. Now, we can use another trick: to divide a number by 9, we can add up its digits and divide that sum by 9. If the sum is still divisible by 9, we can repeat the process until we get a single-digit number. For example, -480000/9 = (-4-8+0+0+0+0)/9 = (-12)/9 = (-1-2)/9 = -3/9 = -1/3. So, -480000/9 = -1/3. To get back to the original number, we can multiply this fraction by 1000 to get -333.333… This is the same as subtracting 48000 from 480000.

These tricks are useful because they allow us to avoid dealing with long and complicated decimals and fractions. They also help us check our answers by reversing the steps. For example, if we want to check that 384000 is the correct answer for 480__-_97, we can reverse the steps as follows:

`384000`

+ 48000

-------

432000

`432000`

+ 48000

-------

480000

`480000`

/ -_1

-------

-333.333...

`-333.333...`

* -_1

-------

333.333...

`333.333...`

/ 100

-------

3.33333...

`3.33333...`

* _97

-------

323.23232...

`323.23232...`

* _97

-------

31343.43434...

`31343.43434...`

* _97

-------

3040332.12121...

`3040332.12121...`

* _97

-------

2948322197.77777...

`2948322197.77777...`

* _97

-------

285927293161.61616...

`285927293161.61616...`

* _97

-------

27764921432665.65656...

`27764921432665.65656...`

* _97

-------

2691593179765763.67676...

`2691593179765763.67676...`

* _97

-------

2609843983572791735.35353...

`260984398`

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