*Mia Primas*Show bio

Mia has taught math and science and has a Master's Degree in Secondary Teaching.

Instructor:
*Mia Primas*
Show bio

Mia has taught math and science and has a Master's Degree in Secondary Teaching.

In this lesson, you will learn the steps for multiplying a decimal by a whole number. You will then see two methods that can be used to solve 1.1 x 2.

Step 1: Align the numbers vertically.

Step 2: Multiply each digit of the decimal by the whole number.

Step 3: Place the decimal point.

- Step 1: Align the numbers vertically.

- Step 2: Multiply each digit of the decimal by the whole number.

- Step 3: Place the decimal point.

To determine where the decimal point should go, count the number of digits after the decimal point of the number being multiplied. The solution should have the same number of digits after its decimal point.

Therefore, the solution to 1.1 x 2 is 2.2.

Instead of using the column method, an alternate method can be used that involves expanding the decimal and applying the distributive property.

- Step 1: Write the decimal in expanded form, with each digit representing its place value.

The decimal 1.1 has two digits. The first digit is in the ones place and represents the number 1. The second digit is in the tenths place and represents 0.1. The expanded form shows the sum of these two numbers.

- Step 2. Multiply the whole number by the expanded form of the decimal.

- Step 3. Simplify the answer.

The distributive property can be used to multiply 2 by each number in the parentheses. The final step is to combine like terms by adding 2 and 0.2.

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