Solved on Mar 06, 2024

A student divided 16 by 0.3 and said 4.8 was the answer. What is $4.8+0.3$ , $4.8-0.3$ , $4.8 \times 0.3$ , or $4.8 \div 0.3$ to help the student realize the answer is wrong?

STEP 1

Assumptions
1. The student performed the division $16 \div 0.3$ and obtained $4.8$ as the result.
2. We are looking for a question that will help the student realize that $4.8$ is not the correct answer to the division $16 \div 0.3$ .
3. We will analyze each of the provided options to see which one could best help the student identify the mistake.

STEP 2

We will first consider the option "What is $4.8 + 0.3 ?$ ".
This question is asking for the sum of $4.8$ and $0.3$ . If $4.8$ were the correct result of $16 \div 0.3$ , adding $0.3$ to it would not be particularly enlightening regarding the correctness of the division.

STEP 3

Next, we consider the option "What is $4.8 - 0.3$ ?".
This question is asking for the difference between $4.8$ and $0.3$ . Similar to addition, subtracting $0.3$ from $4.8$ does not directly relate to the division operation in a way that would help the student realize the mistake in the division.

STEP 4

Now, we consider the option "What is $4.8 \times 0.3$ ?".
This question is asking for the product of $4.8$ and $0.3$ . Multiplication is the inverse operation of division. If $4.8$ were the correct quotient of $16 \div 0.3$ , then multiplying $4.8$ by $0.3$ should yield the original dividend, which is $16$ .

STEP 5

Let's perform the multiplication to see if it gives us the original dividend.
$4.8 \times 0.3$

STEP 6

Convert the decimal multiplication into a more straightforward integer multiplication by multiplying both numbers by 10, which is equivalent to moving the decimal point one place to the right for both numbers.
$48 \times 3$

STEP 7

Now, multiply $48$ by $3$ .
$48 \times 3 = 144$

STEP 8

Since we multiplied both numbers by 10 in STEP_6, we need to divide the result by 100 to correct the scale (moving the decimal point two places to the left).
$\frac{144}{100} = 1.44$

STEP 9

The result of $4.8 \times 0.3$ is $1.44$ , which is not equal to the original dividend of $16$ . This indicates that $4.8$ cannot be the correct quotient of $16 \div 0.3$ .

STEP 10

Finally, we consider the option "What is $4.8 \div 0.3$ ?".
This question is asking for the quotient of $4.8$ divided by $0.3$ . However, since the student already performed a division operation and obtained $4.8$ as a result, asking them to divide $4.8$ by $0.3$ would not help them realize their mistake.

STEP 11

Based on the analysis in the previous steps, the question "What is $4.8 \times 0.3$ ?" is the most suitable to help the student realize that $4.8$ is not the correct answer to the division $16 \div 0.3$ , because the product does not equal the original dividend.
The correct question to ask the student is "What is $4.8 \times 0.3$ ?".

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A student divided 16 by 0.3 and said 4.8 was the answer. What is $4.8+0.3$ , $4.8-0.3$ , $4.8 \times 0.3$ , or $4.8 \div 0.3$ to help the student realize the answer is wrong?

STEP 1

STEP 2

We will first consider the option "What is $4.8 + 0.3 ?$ ".
This question is asking for the sum of $4.8$ and $0.3$ . If $4.8$ were the correct result of $16 \div 0.3$ , adding $0.3$ to it would not be particularly enlightening regarding the correctness of the division.

STEP 3

Next, we consider the option "What is $4.8 - 0.3$ ?".
This question is asking for the difference between $4.8$ and $0.3$ . Similar to addition, subtracting $0.3$ from $4.8$ does not directly relate to the division operation in a way that would help the student realize the mistake in the division.

STEP 4

STEP 5

Let's perform the multiplication to see if it gives us the original dividend.
$4.8 \times 0.3$

STEP 6

Convert the decimal multiplication into a more straightforward integer multiplication by multiplying both numbers by 10, which is equivalent to moving the decimal point one place to the right for both numbers.
$48 \times 3$

STEP 7

Now, multiply $48$ by $3$ .
$48 \times 3 = 144$

STEP 8

Since we multiplied both numbers by 10 in STEP_6, we need to divide the result by 100 to correct the scale (moving the decimal point two places to the left).
$\frac{144}{100} = 1.44$

STEP 9

The result of $4.8 \times 0.3$ is $1.44$ , which is not equal to the original dividend of $16$ . This indicates that $4.8$ cannot be the correct quotient of $16 \div 0.3$ .

STEP 10

STEP 11

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A student divided 16 by 0.3 and said 4.8 was the answer. What is 4.8+0.34.8+0.34.8+0.3, 4.8−0.34.8-0.34.8−0.3, 4.8×0.34.8 \times 0.34.8×0.3, or 4.8÷0.34.8 \div 0.34.8÷0.3 to help the student realize the answer is wrong?

STEP 1

STEP 2

STEP 3

STEP 4

STEP 5

Let's perform the multiplication to see if it gives us the original dividend.4.8×0.34.8 \times 0.34.8×0.3

STEP 6

Convert the decimal multiplication into a more straightforward integer multiplication by multiplying both numbers by 10, which is equivalent to moving the decimal point one place to the right for both numbers.48×348 \times 348×3

STEP 7

Now, multiply 484848 by 333.48×3=14448 \times 3 = 14448×3=144

STEP 8

Since we multiplied both numbers by 10 in STEP_6, we need to divide the result by 100 to correct the scale (moving the decimal point two places to the left).144100=1.44\frac{144}{100} = 1.44100144​=1.44

STEP 9

The result of 4.8×0.34.8 \times 0.34.8×0.3 is 1.441.441.44, which is not equal to the original dividend of 161616. This indicates that 4.84.84.8 cannot be the correct quotient of 16÷0.316 \div 0.316÷0.3.

STEP 10

STEP 11

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

A student divided 16 by 0.3 and said 4.8 was the answer. What is $4.8+0.3$ , $4.8-0.3$ , $4.8 \times 0.3$ , or $4.8 \div 0.3$ to help the student realize the answer is wrong?

Let's perform the multiplication to see if it gives us the original dividend.
$4.8 \times 0.3$

Convert the decimal multiplication into a more straightforward integer multiplication by multiplying both numbers by 10, which is equivalent to moving the decimal point one place to the right for both numbers.
$48 \times 3$

Now, multiply $48$ by $3$ .
$48 \times 3 = 144$

Since we multiplied both numbers by 10 in STEP_6, we need to divide the result by 100 to correct the scale (moving the decimal point two places to the left).
$\frac{144}{100} = 1.44$

The result of $4.8 \times 0.3$ is $1.44$ , which is not equal to the original dividend of $16$ . This indicates that $4.8$ cannot be the correct quotient of $16 \div 0.3$ .