Calculating the absolute value of a number is easy. You must know the theory underlying absolute equations before solving problems. Whole absolute number is a measure of how far a certain number is from zero. If you think of a number line with a zero in the middle, the absolute value describes how far a certain number is from the zero point.
Step
Method 1 of 2: Calculating Absolute Value
Step 1. Remember that absolute value is the distance of a number from zero
Absolute value is the distance of a certain number from zero on the number line. Simply put, −4{displaystyle 4}
hanya bertanya tentang seberapa jauh 4 dari nol. Karena jarak selalu bersifat positif (kamu tidak bisa mengambil langkah “negatif”, hanya langkah ke arah yang berbeda), hasil nilai absolut pun akan selalu positif.
Step 2. Make the absolute value number positive
In simple terms, absolute values turn any number positive. Absolute values are useful for measuring distances or finding the value of money when you're dealing with negative numbers, such as when calculating debt or loans.
Step 3. Use two vertical lines to indicate absolute values
Absolute value notation is very simple. Vertical lines (or “pipes” on the keyboard near the “Enter”) key on either side of a number or expression, such as n, 3+5, −72{displaystyle n, 3+ 5, 72}
menggambarkan nilai absolut.
 2{displaystyle 2}
 −5=5{displaystyle 5=5}

Soal:
(−4∗5)+3−2{displaystyle (4*5)+32}

Sederhanakan yang berada dalam tanda kurung:
(−20)+3−2{displaystyle (20)+32}

Tambah dan kurangi:
−19{displaystyle 19}

Buat seluruh bilangan yang berada dalam notasi absolut menjadi positif:
19{displaystyle 19}
 Jawaban akhir: 19

About:
1+2+4−75∗−3∗2{displaystyle {frac {1+2+47}{5*3*2}}}

Selesaikan seluruh operasi matematika di dalam dan luar nilai absolut:
3+−35∗−6{displaystyle {frac {3+3}{5*6}}}

Gunakan nilai absolut:
3+(3)5∗(6){displaystyle {frac {3+(3)}{5*(6)}}}

Urutkan sesuai operasi matematika:
630{displaystyle {frac {6}{30}}}
 Sederhanakan jawaban akhir: 15{displaystyle {frac {1}{5}}}

12{displaystyle 12}
= 12{displaystyle 12}
 −24{displaystyle 24}
 3+2−11+5−6{displaystyle 3+211+56}

Soal:
3−4i{displaystyle 34i}
 Catatan: Jika kamu melihat −1{displaystyle {sqrt {1}}}

1+6i{displaystyle 1+6i}
= (1, 6)
 2−i{displaystyle 2i}
 6i−8{displaystyle 6i8}

Koefisien:
(3, 4)

Masukkan ke dalam rumus jarak:
32+(−4)2{displaystyle {sqrt {3^{2}+(4)^{2}}}}

Hitung pangkat dua koefisien:
' 9+16{displaystyle {sqrt {9+16}}}
 Catatan: Baca kembali rumus jarak kalau kamu bingung. Menghitung pangkat dua koefisien akan membuat keduanya positif. Kamu sekarang telah mendapatkan nilai absolut.

Coefficient:
(3, 4)

Plug it into the distance formula:
32+(−4)2{displaystyle {sqrt {3^{2}+(4)^{2}}}}

Hitung pangkat dua:
9+16{displaystyle {sqrt {9+16}}}

Jumlahkan angka yang telah dipangkat dua:
25{displaystyle {sqrt {25}}}

Coefficient:
(3, 4)

Plug it into the distance formula:
32+(−4)2{displaystyle {sqrt {3^{2}+(4)^{2}}}}

Hitung pangkat dua koefisien:
9+16{displaystyle {sqrt {9+16}}}

Jumlahkan koefisien yang telah dipangkat dua:
25{displaystyle {sqrt {25}}}

Hitung akar kuadrat untuk mendapatkan jawaban akhir:
5
 3−4i=5{displaystyle 34i=5}

1+6i{displaystyle 1+6i}
= √37
 2−i{displaystyle 2i}
 6i−8{displaystyle 6i8}
 kalau terdapat variabel di dalam notasi nilai absolut, kamu tidak dapat membuang notasi menggunakan metode ini karena jika variabel tersebut negatif, perhitungan nilai absolut akan membuatnya menjadi positif.
 jika terdapat ekspresi matematika di dalam notasi nilai absolut, sederhanakan ekspresi tersebut sebelum menentukan nilai absolut.
 jika terdapat angka positif di dalam notasi nilai absolut, jawabannya selalu angka itu sendiri.
 kamu membutuhkan metode yang berbeda untuk memecahkan persamaan nilai absolut yang memiliki x dan y walaupun metodemetode tersebut tetap menggunakan teori nilai absolut.
 nilai absolut tidak akan pernah sama dengan angka negatif. jadi, jika kamu melihat persamaan, seperti  2  4x = 7, kamu bisa menentukan bahwa persamaan ini salah tanpa harus memecahkannya terlebih dahulu.
read as"
Step 4. Remove the negative sign in absolute value notation
Example, 5 becomes 5.
Step 5. Discard absolute value notation
The remaining number is the answer you are looking for, so 5 to 5 then 5. You just need to do this.
Step 6. Simplify mathematical sentences in absolute value notation
If you're dealing with a simple math sentence, like −10{displaystyle 10}
kamu hanya perlu membuatnya menjadi positif. Namun, kalimat seperti (−4∗5)+3−2{displaystyle (4*5)+32}
harus disederhanakan sebelum kamu mendapatkan nilai absolut. Urutan operasi matematika biasa masih berlaku:
Step 7. Always use a sequence of mathematical operations before finding absolute values
When calculating longer equations, solve them first before determining absolute values. Don't simplify absolute values before you solve other operations, such as add, subtract, and divide. Example:
Step 8. Keep practicing so you can do it
Finding absolute values is relatively easy, but you still need to practice so you don't forget:
= 24{displaystyle 24}
= 7{displaystyle 7}
Method 2 of 2: Solving the Absolute Value of Imaginary Numbers (Equation of
Step 1. Look at complex equations with imaginary numbers, such as "i" or 1{displaystyle {sqrt {1}}}
dan pecahkan secara terpisah.
Nilai absolut dari bilangan imajiner dan bilangan rasional tidak dapat ditemukan dengan cara yang sama. Kamu bisa menemukan nilai absolut dari persamaan kompleks dengan cara memasukkannya ke rumus jarak. Contoh 3−4i{displaystyle 34i}
you can replace it with" i="1{displaystyle"
Step 2. Find the coefficients in a complex equation
Think of 34i as the equation of a line. The absolute value is the distance from zero. So, you have to find the distance from zero to the point (3, 4) on the line. The coefficients are two numbers that are not "i." The number with an i next to it is usually the second number, but this isn't important when you're solving equations. To practice, find the following coefficients:
= (2, 1)
= (8, 6)
Step 3. Remove the absolute value notation from the equation
You only need the coefficients in this step. Remember, you have to find the distance from the equation to zero. Using the distance formula in the next step is the same as using absolute values.
Step 4. Calculate the cube of the coefficient
To find the distance, you'll use the distance formula, which is x2+y2{displaystyle {sqrt {x^{2}+y^{2}}}}
. Jadi, langkah pertamamu adalah menghitung pangkat dua koefisien yang ada dalam persamaan kompleks. Melanjutkan contoh 3−4i{displaystyle 34i}
:
Step 5. Add up the numbers raised to the power of two below the square root
This sign means that the number below it will take the square root. Add up the numbers and ignore the root sign for now.
Step 6. Find the square root to get the final answer
Simplify the equation to get the final answer. This is the "point" distance from the zero imaginary graph. If the square root is not found, leave the number from the last step under the square root  this is an acceptable final answer.
Step 7. Try practicing
Use the mouse to click and highlight the location immediately after the equals sign to see the white answer.
= √5
= 10