Math / Numbers & Operations

Question24. Select the correct quotient. $2.21 \div 0.34$ 5.5 6.5 06.5 006.5

Studdy Solution

STEP 1

What is this asking? We need to divide $2.21$ by $0.34$ and pick the right answer from the choices. Watch out! Don't forget about those decimal places!
They can be tricky.

STEP 2

1. Prep the division
2. Perform the division
3. Select the answer

STEP 3

Let's set up our division problem!
We have $2.21 \div 0.34$ .
Remember, we want to make the divisor ( $0.34$ ) a whole number.

STEP 4

To do that, we'll multiply both the dividend ( $2.21$ ) and the divisor ( $0.34$ ) by 100.
Why 100?
Because moving the decimal two places to the right in $0.34$ turns it into $34$ , which is a whole number!
This gives us $221 \div 34$ .
Remember, multiplying both numbers by the same value doesn't change the result of the division!

STEP 5

Now, let's divide $221$ by $34$ .
How many times does $34$ go into $221$ ?
Let's try $34 \cdot 6 = 204$ .
That's pretty close!

STEP 6

Subtract $204$ from $221$ : $221 - 204 = 17$ .
So, we have a remainder of $17$ .

STEP 7

Since $17$ is smaller than $34$ , we add a decimal point and a zero to the dividend, making it $170$ .
Now, how many times does $34$ go into $170$ ?
Let's try $34 \cdot 5 = 170$ .
Perfect!

STEP 8

So, $221 \div 34 = 6.5$ .
Remember, we multiplied both the dividend and the divisor by 100 at the beginning, but that doesn't change the final answer!

STEP 9

We got $6.5$ , which matches one of the answer choices!

STEP 10

The correct quotient is $6.5$ .

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Question24. Select the correct quotient. $2.21 \div 0.34$ 5.5 6.5 06.5 006.5

Studdy Solution

STEP 1

What is this asking? We need to divide $2.21$ by $0.34$ and pick the right answer from the choices. Watch out! Don't forget about those decimal places!
They can be tricky.

STEP 2

1. Prep the division
2. Perform the division
3. Select the answer

STEP 3

Let's set up our division problem!
We have $2.21 \div 0.34$ .
Remember, we want to make the divisor ( $0.34$ ) a whole number.

STEP 4

STEP 5

Now, let's divide $221$ by $34$ .
How many times does $34$ go into $221$ ?
Let's try $34 \cdot 6 = 204$ .
That's pretty close!

STEP 6

Subtract $204$ from $221$ : $221 - 204 = 17$ .
So, we have a remainder of $17$ .

STEP 7

Since $17$ is smaller than $34$ , we add a decimal point and a zero to the dividend, making it $170$ .
Now, how many times does $34$ go into $170$ ?
Let's try $34 \cdot 5 = 170$ .
Perfect!

STEP 8

So, $221 \div 34 = 6.5$ .
Remember, we multiplied both the dividend and the divisor by 100 at the beginning, but that doesn't change the final answer!

STEP 9

We got $6.5$ , which matches one of the answer choices!

STEP 10

The correct quotient is $6.5$ .

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Question24. Select the correct quotient. 2.21÷0.342.21 \div 0.342.21÷0.34 5.5 6.5 06.5 006.5

Studdy Solution

STEP 1

What is this asking? We need to divide 2.212.212.21 by 0.340.340.34 and pick the right answer from the choices. Watch out! Don't forget about those decimal places!They can be tricky.

STEP 2

1. Prep the division2. Perform the division3. Select the answer

STEP 3

Let's **set up** our division problem!We have 2.21÷0.342.21 \div 0.342.21÷0.34.Remember, we want to make the **divisor** (0.340.340.34) a whole number.

STEP 4

STEP 5

Now, let's **divide** 221221221 by 343434.How many times does 343434 go into 221221221?Let's try 34⋅6=20434 \cdot 6 = 20434⋅6=204.That's pretty close!

STEP 6

Subtract 204204204 from 221221221: 221−204=17221 - 204 = 17221−204=17.So, we have a remainder of 171717.

STEP 7

Since 171717 is smaller than 343434, we add a decimal point and a zero to the **dividend**, making it 170170170.Now, how many times does 343434 go into 170170170?Let's try 34⋅5=17034 \cdot 5 = 17034⋅5=170.Perfect!

STEP 8

So, 221÷34=6.5221 \div 34 = 6.5221÷34=6.5.Remember, we multiplied both the **dividend** and the **divisor** by **100** at the beginning, but that doesn't change the final answer!

STEP 9

We got 6.56.56.5, which matches one of the answer choices!

STEP 10

The correct quotient is 6.56.56.5.

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Question24. Select the correct quotient. $2.21 \div 0.34$ 5.5 6.5 06.5 006.5

What is this asking? We need to divide $2.21$ by $0.34$ and pick the right answer from the choices. Watch out! Don't forget about those decimal places!
They can be tricky.

1. Prep the division
2. Perform the division
3. Select the answer

Let's set up our division problem!
We have $2.21 \div 0.34$ .
Remember, we want to make the divisor ( $0.34$ ) a whole number.

Now, let's divide $221$ by $34$ .
How many times does $34$ go into $221$ ?
Let's try $34 \cdot 6 = 204$ .
That's pretty close!

Subtract $204$ from $221$ : $221 - 204 = 17$ .
So, we have a remainder of $17$ .

Since $17$ is smaller than $34$ , we add a decimal point and a zero to the dividend, making it $170$ .
Now, how many times does $34$ go into $170$ ?
Let's try $34 \cdot 5 = 170$ .
Perfect!

So, $221 \div 34 = 6.5$ .
Remember, we multiplied both the dividend and the divisor by 100 at the beginning, but that doesn't change the final answer!

We got $6.5$ , which matches one of the answer choices!

The correct quotient is $6.5$ .