Math / Numbers & Operations

QuestionUse the model to find $\mathbf{0 . 8} \times \mathbf{4 . 6}$ . First, fill in the area of each rectangle.
Then, find the total area. $0.8 \times 4.6=$ $\square$

Studdy Solution

STEP 1

1. We are using a visual area model to calculate the product $0.8 \times 4.6$ .
2. The area model involves breaking down the numbers into parts that are easier to multiply.
3. We will calculate the area of each rectangle separately and then sum them to find the total area.

STEP 2

1. Break down the numbers into parts.
2. Calculate the area of each rectangle.
3. Sum the areas to find the total product.

STEP 3

Break down the numbers $0.8$ and $4.6$ into parts that are easier to multiply.
- $0.8$ can be considered as $0.8$ . - $4.6$ can be broken down into $4$ and $0.6$ .

STEP 4

Calculate the area of each rectangle by multiplying the parts.
- Calculate $0.8 \times 4$ : $ 0.8 \times 4 = 3.2 \]
- Calculate $0.8 \times 0.6$ : $ 0.8 \times 0.6 = 0.48 \]

STEP 5

Sum the areas of the rectangles to find the total area.
- Total area: $ 3.2 + 0.48 = 3.68 \]
The product of $0.8 \times 4.6$ is:
$\boxed{3.68}$

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QuestionUse the model to find $\mathbf{0 . 8} \times \mathbf{4 . 6}$ . First, fill in the area of each rectangle.
Then, find the total area. $0.8 \times 4.6=$ $\square$

Studdy Solution

STEP 1

1. We are using a visual area model to calculate the product $0.8 \times 4.6$ .
2. The area model involves breaking down the numbers into parts that are easier to multiply.
3. We will calculate the area of each rectangle separately and then sum them to find the total area.

STEP 2

1. Break down the numbers into parts.
2. Calculate the area of each rectangle.
3. Sum the areas to find the total product.

STEP 3

Break down the numbers $0.8$ and $4.6$ into parts that are easier to multiply.
- $0.8$ can be considered as $0.8$ . - $4.6$ can be broken down into $4$ and $0.6$ .

STEP 4

Calculate the area of each rectangle by multiplying the parts.
- Calculate $0.8 \times 4$ : $ 0.8 \times 4 = 3.2 \]
- Calculate $0.8 \times 0.6$ : $ 0.8 \times 0.6 = 0.48 \]

STEP 5

Sum the areas of the rectangles to find the total area.
- Total area: $ 3.2 + 0.48 = 3.68 \]
The product of $0.8 \times 4.6$ is:
$\boxed{3.68}$

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QuestionUse the model to find 0.8×4.6\mathbf{0 . 8} \times \mathbf{4 . 6}0.8×4.6. First, fill in the area of each rectangle.Then, find the total area. 0.8×4.6=0.8 \times 4.6=0.8×4.6= □\square□

Studdy Solution

STEP 1

1. We are using a visual area model to calculate the product 0.8×4.60.8 \times 4.60.8×4.6.2. The area model involves breaking down the numbers into parts that are easier to multiply.3. We will calculate the area of each rectangle separately and then sum them to find the total area.

STEP 2

1. Break down the numbers into parts.2. Calculate the area of each rectangle.3. Sum the areas to find the total product.

STEP 3

Break down the numbers 0.80.80.8 and 4.64.64.6 into parts that are easier to multiply.- 0.80.80.8 can be considered as 0.80.80.8. - 4.64.64.6 can be broken down into 444 and 0.60.60.6.

STEP 4

Calculate the area of each rectangle by multiplying the parts.- Calculate 0.8×40.8 \times 40.8×4: $ 0.8 \times 4 = 3.2 \]- Calculate 0.8×0.60.8 \times 0.60.8×0.6: $ 0.8 \times 0.6 = 0.48 \]

STEP 5

Sum the areas of the rectangles to find the total area.- Total area: $ 3.2 + 0.48 = 3.68 \] The product of 0.8×4.60.8 \times 4.60.8×4.6 is:3.68\boxed{3.68}3.68​

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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.

QuestionUse the model to find $\mathbf{0 . 8} \times \mathbf{4 . 6}$ . First, fill in the area of each rectangle.
Then, find the total area. $0.8 \times 4.6=$ $\square$

1. We are using a visual area model to calculate the product $0.8 \times 4.6$ .
2. The area model involves breaking down the numbers into parts that are easier to multiply.
3. We will calculate the area of each rectangle separately and then sum them to find the total area.

1. Break down the numbers into parts.
2. Calculate the area of each rectangle.
3. Sum the areas to find the total product.

Break down the numbers $0.8$ and $4.6$ into parts that are easier to multiply.
- $0.8$ can be considered as $0.8$ . - $4.6$ can be broken down into $4$ and $0.6$ .

Calculate the area of each rectangle by multiplying the parts.
- Calculate $0.8 \times 4$ : $ 0.8 \times 4 = 3.2 \]
- Calculate $0.8 \times 0.6$ : $ 0.8 \times 0.6 = 0.48 \]

Sum the areas of the rectangles to find the total area.
- Total area: $ 3.2 + 0.48 = 3.68 \]
The product of $0.8 \times 4.6$ is:
$\boxed{3.68}$