Solved on Jan 04, 2024

Find the partial products to calculate $2 \times 546$ . Fill in the missing step: $2 \times 546 = \square \times 6$ .

STEP 1

Assumptions
1. We are multiplying $2 \times 546$ using the method of partial products.
2. We need to fill in the boxes with the correct partial products.

STEP 2

Understand the concept of partial products. When multiplying a number by a single digit, we can break the number into parts (hundreds, tens, ones) and multiply each part by the digit separately.
$2 \times 546 = 2 \times (500 + 40 + 6)$

STEP 3

Multiply the hundreds place (500) by 2.
$2 \times 500 = 1000$

STEP 4

Multiply the tens place (40) by 2.
$2 \times 40 = 80$

STEP 5

The ones place (6) has already been multiplied by 2, as given in the problem statement.
$2 \times 6 = 12$

STEP 6

Now we add the partial products together to find the final answer.
$Total = 1000 + 80 + 12$

STEP 7

Calculate the sum of the partial products.
$Total = 1000 + 80 + 12 = 1092$

STEP 8

Fill in the boxes with the correct partial products.
\begin{tabular}{r} 546 \\ $\times \quad 2$ \\ \hline 12 \\ + $\quad 80$ \\ + $1000$ \\ \hline $1092$ \end{tabular}
The filled boxes are $80 \times 6$ ten and $1000 \times 6$ hundred.
$2 \times 546 = 1092$ .

Was this helpful?

Find the partial products to calculate $2 \times 546$ . Fill in the missing step: $2 \times 546 = \square \times 6$ .

STEP 1

Assumptions
1. We are multiplying $2 \times 546$ using the method of partial products.
2. We need to fill in the boxes with the correct partial products.

STEP 2

Understand the concept of partial products. When multiplying a number by a single digit, we can break the number into parts (hundreds, tens, ones) and multiply each part by the digit separately.
$2 \times 546 = 2 \times (500 + 40 + 6)$

STEP 3

Multiply the hundreds place (500) by 2.
$2 \times 500 = 1000$

STEP 4

Multiply the tens place (40) by 2.
$2 \times 40 = 80$

STEP 5

The ones place (6) has already been multiplied by 2, as given in the problem statement.
$2 \times 6 = 12$

STEP 6

Now we add the partial products together to find the final answer.
$Total = 1000 + 80 + 12$

STEP 7

Calculate the sum of the partial products.
$Total = 1000 + 80 + 12 = 1092$

STEP 8

Fill in the boxes with the correct partial products.
\begin{tabular}{r} 546 \\ $\times \quad 2$ \\ \hline 12 \\ + $\quad 80$ \\ + $1000$ \\ \hline $1092$ \end{tabular}
The filled boxes are $80 \times 6$ ten and $1000 \times 6$ hundred.
$2 \times 546 = 1092$ .

Start learning now

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

Find the partial products to calculate 2×5462 \times 5462×546. Fill in the missing step: 2×546=□×62 \times 546 = \square \times 62×546=□×6.

STEP 1

Assumptions1. We are multiplying 2×5462 \times 5462×546 using the method of partial products.2. We need to fill in the boxes with the correct partial products.

STEP 2

Understand the concept of partial products. When multiplying a number by a single digit, we can break the number into parts (hundreds, tens, ones) and multiply each part by the digit separately.2×546=2×(500+40+6)2 \times 546 = 2 \times (500 + 40 + 6)2×546=2×(500+40+6)

STEP 3

Multiply the hundreds place (500) by 2.2×500=10002 \times 500 = 10002×500=1000

STEP 4

Multiply the tens place (40) by 2.2×40=802 \times 40 = 802×40=80

STEP 5

The ones place (6) has already been multiplied by 2, as given in the problem statement.2×6=122 \times 6 = 122×6=12

STEP 6

Now we add the partial products together to find the final answer.Total=1000+80+12Total = 1000 + 80 + 12Total=1000+80+12

STEP 7

Calculate the sum of the partial products.Total=1000+80+12=1092Total = 1000 + 80 + 12 = 1092Total=1000+80+12=1092

STEP 8

Start learning now

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

Find the partial products to calculate $2 \times 546$ . Fill in the missing step: $2 \times 546 = \square \times 6$ .

Assumptions
1. We are multiplying $2 \times 546$ using the method of partial products.
2. We need to fill in the boxes with the correct partial products.

Understand the concept of partial products. When multiplying a number by a single digit, we can break the number into parts (hundreds, tens, ones) and multiply each part by the digit separately.
$2 \times 546 = 2 \times (500 + 40 + 6)$

Multiply the hundreds place (500) by 2.
$2 \times 500 = 1000$

Multiply the tens place (40) by 2.
$2 \times 40 = 80$

The ones place (6) has already been multiplied by 2, as given in the problem statement.
$2 \times 6 = 12$

Now we add the partial products together to find the final answer.
$Total = 1000 + 80 + 12$

Calculate the sum of the partial products.
$Total = 1000 + 80 + 12 = 1092$