6 + 2 x 7 = ?
If you think the answer is 56, keep reading.
BIDMAS, or BODMAS, is one of the most fundamental lessons in mathematics, and is the key to solving any mathematical equation. BIDMAS is an acronym for the order in which any equation involving more than one operation should be solved. In many situations, you will find yourself faced with a mathematical problem with multiplication, brackets, division, and more, all at once, and solving it from left to right will not grant you the correct answer, because there is a certain order of solving that you must follow.
B = Brackets
I = Indices / O = Order
D = Division
M = Multiplication
A = Addition
S = Subtraction
What BIDMAS represents is the order in which any equation should follow to be solved, meaning, the first thing to solve in an equation should be the brackets, then the indices/ order, which are the square roots and powers, then the division/ multiplications, then additions/ subtractions. It is important to understand that division and multiplication are as important as each other, as well as additions and subtractions, meaning, division does not necessarily have to be performed before multiplication, and addition does not necessarily have to come before subtraction, so, if faced with both, we solve the equation from left to right regardless of which comes first. Now try to solve the above equation again, the answer should be 20. Why? Because multiplication comes before addition, so to solve the equation, we first need to multiply 2 by 7 = 14, then add 6 and 14, which equals to 20.
Exercise (1)
(1 + 2)^2 x (2 + 4) = ?
First, we need to work out the brackets.
(1+2) = 3
(2+4) = 6
Next, we need to work out the indices.
(1 + 2 = 3)^2 = 9
Lastly, the multiplication.
9 x 6 = 54
Exercise (2)
6 + 10 ÷ 2 + 3^2 x 4 = ?
In this equation, there are no brackets, so the first thing we need to solve is the power.
3^2 = 9
Next, we need to do the division.
10 ÷ 2 = 5
Now, we will do the multiplication.
3^2 = 9 x 4 = 36
Lastly, we will do the addition.
6 + 5 + 36 = 47
Exercise (3)
(2^2 + 6)^2 x 4 - 8 = ?
First, solve the equation within the bracket.
2^2 = 4
(4 + 6) = 10
Next, do the indices.
(10)^2 = 100
Now do the multiplication.
100 x 4 = 400
Lastly, do the subtraction.
400 - 8 = 392
Exercise (4)
36 - 2 (20 + 12 ÷ 4 x 3 - 2 x 2) + 10 = ?
First, we will need to solve the bracket, to do that, we will begin by division inside the bracket.
12 ÷ 4 = 3
Next, multiplication.
3 x 3 = 9
2 x 2 = 4
Now the bracket looks like this: (20 + 9 - 4)
We will then do the addition.
20 + 9 = 29
And lastly, the subtraction.
29 - 4 = 25
Now that we solved the bracket, we will focus on the whole equation, which is now:
36 - 2 (25) + 10
So, first, we will do the multiplication.
2 x (25) = 50
Next, the subtraction (because it came first).
36 - 50 = -14
Lastly, the addition.
-14 + 10 = -4
BIDMAS
BIDMAS
BIDMAS, or BODMAS is an essential lesson to learn when it comes to mathematics, click here to further understand BIDMAS.
6 + 2 x 7 = ? If you think the answer is 56, keep reading. BIDMAS, or BODMAS, is one of the most fundamental lessons in mathematics, and is the key to solving any mathematical equation. BIDMAS is an acronym for the order in which any equation involving more than one operation should be solved. In many situations, you will find yourself faced with a mathematical problem with multiplication, brackets, division, and more, all at once, and solving it from left to right will not grant you the correct answer, because there is a certain order of solving that you must follow. B = Brackets I = Indices / O = Order D = Division M = Multiplication A = Addition S = Subtraction What BIDMAS represents is the order in which any equation should follow to be solved, meaning, the first thing to solve in an equation should be the brackets, then the indices/ order, which are the square roots and powers, then the division/ multiplications, then additions/ subtractions. It is important to understand that division and multiplication are as important as each other, as well as additions and subtractions, meaning, division does not necessarily have to be performed before multiplication, and addition does not necessarily have to come before subtraction, so, if faced with both, we solve the equation from left to right regardless of which comes first. Now try to solve the above equation again, the answer should be 20. Why? Because multiplication comes before addition, so to solve the equation, we first need to multiply 2 by 7 = 14, then add 6 and 14, which equals to 20. Exercise (1) (1 + 2)^2 x (2 + 4) = ?First, we need to work out the brackets. (1+2) = 3(2+4) = 6 Next, we need to work out the indices. (1 + 2 = 3)^2 = 9 Lastly, the multiplication. 9 x 6 = 54Exercise (2) 6 + 10 ÷ 2 + 3^2 x 4 = ? In this equation, there are no brackets, so the first thing we need to solve is the power. 3^2 = 9 Next, we need to do the division. 10 ÷ 2 = 5 Now, we will do the multiplication. 3^2 = 9 x 4 = 36 Lastly, we will do the addition. 6 + 5 + 36 = 47 Exercise (3) (2^2 + 6)^2 x 4 - 8 = ?First, solve the equation within the bracket. 2^2 = 4(4 + 6) = 10 Next, do the indices. (10)^2 = 100 Now do the multiplication. 100 x 4 = 400 Lastly, do the subtraction. 400 - 8 = 392 Exercise (4) 36 - 2 (20 + 12 ÷ 4 x 3 - 2 x 2) + 10 = ?First, we will need to solve the bracket, to do that, we will begin by division inside the bracket. 12 ÷ 4 = 3 Next, multiplication. 3 x 3 = 9 2 x 2 = 4 Now the bracket looks like this: (20 + 9 - 4) We will then do the addition.20 + 9 = 29 And lastly, the subtraction. 29 - 4 = 25 Now that we solved the bracket, we will focus on the whole equation, which is now: 36 - 2 (25) + 10 So, first, we will do the multiplication. 2 x (25) = 50 Next, the subtraction (because it came first). 36 - 50 = -14 Lastly, the addition. -14 + 10 = -4
