Math / Algebra

QuestionAdd parentheses to make true. $36 \div 9-3=6$

Studdy Solution

STEP 1

What is this asking? We need to figure out where to put parentheses in the equation $36 \div 9 - 3 = 6$ to make it true! Watch out! Remember the order of operations—PEMDAS/BODMAS—it's super important here!

STEP 2

1. Try Parentheses Around the Division
2. Try Parentheses Around the Subtraction

STEP 3

Let's try putting parentheses around $36 \div 9$ .
This gives us $(36 \div 9) - 3 = 6$ .

STEP 4

Inside the parentheses, we have $36 \div 9$ , which equals 4.

STEP 5

Now, our equation is $4 - 3 = 6$ .

STEP 6

$4 - 3 = 1$ .
So, we have $1 = 6$ , which is not true.
This means the parentheses don't go around the division.

STEP 7

Let's try putting parentheses around $9 - 3$ .
This gives us $36 \div (9 - 3) = 6$ .

STEP 8

Inside the parentheses, we have $9 - 3$ , which equals 6.

STEP 9

Now, our equation is $36 \div 6 = 6$ .

STEP 10

$36 \div 6 = 6$ .
So, we have $6 = 6$ , which is absolutely true!

STEP 11

Putting the parentheses around $9 - 3$ makes the equation true.
So, the correct equation is $36 \div (9 - 3) = 6$ .

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QuestionAdd parentheses to make true. $36 \div 9-3=6$

Studdy Solution

STEP 1

What is this asking? We need to figure out where to put parentheses in the equation $36 \div 9 - 3 = 6$ to make it true! Watch out! Remember the order of operations—PEMDAS/BODMAS—it's super important here!

STEP 2

1. Try Parentheses Around the Division
2. Try Parentheses Around the Subtraction

STEP 3

Let's try putting parentheses around $36 \div 9$ .
This gives us $(36 \div 9) - 3 = 6$ .

STEP 4

Inside the parentheses, we have $36 \div 9$ , which equals 4.

STEP 5

Now, our equation is $4 - 3 = 6$ .

STEP 6

$4 - 3 = 1$ .
So, we have $1 = 6$ , which is not true.
This means the parentheses don't go around the division.

STEP 7

Let's try putting parentheses around $9 - 3$ .
This gives us $36 \div (9 - 3) = 6$ .

STEP 8

Inside the parentheses, we have $9 - 3$ , which equals 6.

STEP 9

Now, our equation is $36 \div 6 = 6$ .

STEP 10

$36 \div 6 = 6$ .
So, we have $6 = 6$ , which is absolutely true!

STEP 11

Putting the parentheses around $9 - 3$ makes the equation true.
So, the correct equation is $36 \div (9 - 3) = 6$ .

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QuestionAdd parentheses to make true. 36÷9−3=636 \div 9-3=636÷9−3=6

Studdy Solution

STEP 1

What is this asking? We need to figure out where to put parentheses in the equation 36÷9−3=636 \div 9 - 3 = 636÷9−3=6 to make it true! Watch out! Remember the order of operations—PEMDAS/BODMAS—it's super important here!

STEP 2

1. Try Parentheses Around the Division2. Try Parentheses Around the Subtraction

STEP 3

Let's try putting parentheses around 36÷936 \div 936÷9.This gives us (36÷9)−3=6(36 \div 9) - 3 = 6(36÷9)−3=6.

STEP 4

Inside the parentheses, we have 36÷936 \div 936÷9, which equals **4**.

STEP 5

Now, our equation is 4−3=64 - 3 = 64−3=6.

STEP 6

4−3=14 - 3 = 14−3=1.So, we have 1=61 = 61=6, which is **not true**.This means the parentheses *don't* go around the division.

STEP 7

Let's try putting parentheses around 9−39 - 39−3.This gives us 36÷(9−3)=636 \div (9 - 3) = 636÷(9−3)=6.

STEP 8

Inside the parentheses, we have 9−39 - 39−3, which equals **6**.

STEP 9

Now, our equation is 36÷6=636 \div 6 = 636÷6=6.

STEP 10

36÷6=636 \div 6 = 636÷6=6.So, we have 6=66 = 66=6, which is **absolutely true**!

STEP 11

Putting the parentheses around 9−39 - 39−3 makes the equation true.So, the correct equation is 36÷(9−3)=636 \div (9 - 3) = 636÷(9−3)=6.

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QuestionAdd parentheses to make true. $36 \div 9-3=6$

What is this asking? We need to figure out where to put parentheses in the equation $36 \div 9 - 3 = 6$ to make it true! Watch out! Remember the order of operations—PEMDAS/BODMAS—it's super important here!

1. Try Parentheses Around the Division
2. Try Parentheses Around the Subtraction

Let's try putting parentheses around $36 \div 9$ .
This gives us $(36 \div 9) - 3 = 6$ .

Inside the parentheses, we have $36 \div 9$ , which equals 4.

Now, our equation is $4 - 3 = 6$ .

$4 - 3 = 1$ .
So, we have $1 = 6$ , which is not true.
This means the parentheses don't go around the division.

Let's try putting parentheses around $9 - 3$ .
This gives us $36 \div (9 - 3) = 6$ .

Inside the parentheses, we have $9 - 3$ , which equals 6.

Now, our equation is $36 \div 6 = 6$ .

$36 \div 6 = 6$ .
So, we have $6 = 6$ , which is absolutely true!

Putting the parentheses around $9 - 3$ makes the equation true.
So, the correct equation is $36 \div (9 - 3) = 6$ .