Math / Numbers & Operations

Question17. Mark said that the product of 0.02 and 0.7 is 14 . Mark is wrong. What is the product?

Studdy Solution

STEP 1

1. We are calculating the product of two decimal numbers: $0.02$ and $0.7$ .
2. We need to verify the correct product and identify Mark's error.

STEP 2

1. Understand the multiplication of decimals.
2. Perform the multiplication.
3. Verify the result.

STEP 3

Understand that multiplying decimals involves multiplying the numbers as if they were whole numbers, and then placing the decimal point in the product.

STEP 4

Multiply $0.02$ and $0.7$ as whole numbers:
First, ignore the decimals and multiply $2$ and $7$ :
$2 \times 7 = 14$

STEP 5

Count the total number of decimal places in the factors.
- $0.02$ has 2 decimal places. - $0.7$ has 1 decimal place.
Total decimal places = $2 + 1 = 3$ .

STEP 6

Place the decimal point in the product $14$ to account for the 3 decimal places:
$14 \rightarrow 0.014$

STEP 7

Verify the result by checking the placement of the decimal point:
The product of $0.02$ and $0.7$ is $0.014$ .
The correct product is:
$\boxed{0.014}$

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Question17. Mark said that the product of 0.02 and 0.7 is 14 . Mark is wrong. What is the product?

Studdy Solution

STEP 1

1. We are calculating the product of two decimal numbers: $0.02$ and $0.7$ .
2. We need to verify the correct product and identify Mark's error.

STEP 2

1. Understand the multiplication of decimals.
2. Perform the multiplication.
3. Verify the result.

STEP 3

Understand that multiplying decimals involves multiplying the numbers as if they were whole numbers, and then placing the decimal point in the product.

STEP 4

Multiply $0.02$ and $0.7$ as whole numbers:
First, ignore the decimals and multiply $2$ and $7$ :
$2 \times 7 = 14$

STEP 5

Count the total number of decimal places in the factors.
- $0.02$ has 2 decimal places. - $0.7$ has 1 decimal place.
Total decimal places = $2 + 1 = 3$ .

STEP 6

Place the decimal point in the product $14$ to account for the 3 decimal places:
$14 \rightarrow 0.014$

STEP 7

Verify the result by checking the placement of the decimal point:
The product of $0.02$ and $0.7$ is $0.014$ .
The correct product is:
$\boxed{0.014}$

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Question17. Mark said that the product of 0.02 and 0.7 is 14 . Mark is wrong. What is the product?

Studdy Solution

STEP 1

1. We are calculating the product of two decimal numbers: 0.020.020.02 and 0.70.70.7.2. We need to verify the correct product and identify Mark's error.

STEP 2

1. Understand the multiplication of decimals.2. Perform the multiplication.3. Verify the result.

STEP 3

Understand that multiplying decimals involves multiplying the numbers as if they were whole numbers, and then placing the decimal point in the product.

STEP 4

Multiply 0.020.020.02 and 0.70.70.7 as whole numbers:First, ignore the decimals and multiply 222 and 777:2×7=14 2 \times 7 = 14 2×7=14

STEP 5

Count the total number of decimal places in the factors. - 0.020.020.02 has 2 decimal places. - 0.70.70.7 has 1 decimal place.Total decimal places = 2+1=32 + 1 = 32+1=3.

STEP 6

Place the decimal point in the product 141414 to account for the 3 decimal places:14→0.014 14 \rightarrow 0.014 14→0.014

STEP 7

Verify the result by checking the placement of the decimal point:The product of 0.020.020.02 and 0.70.70.7 is 0.0140.0140.014. The correct product is:0.014\boxed{0.014}0.014​

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Studdy solves anything!

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

1. We are calculating the product of two decimal numbers: $0.02$ and $0.7$ .
2. We need to verify the correct product and identify Mark's error.

1. Understand the multiplication of decimals.
2. Perform the multiplication.
3. Verify the result.

Multiply $0.02$ and $0.7$ as whole numbers:
First, ignore the decimals and multiply $2$ and $7$ :
$2 \times 7 = 14$

Count the total number of decimal places in the factors.
- $0.02$ has 2 decimal places. - $0.7$ has 1 decimal place.
Total decimal places = $2 + 1 = 3$ .

Place the decimal point in the product $14$ to account for the 3 decimal places:
$14 \rightarrow 0.014$

Verify the result by checking the placement of the decimal point:
The product of $0.02$ and $0.7$ is $0.014$ .
The correct product is:
$\boxed{0.014}$