Solve the Expression: 2x × 4.65 × 6.3 Decimal Multiplication

Question

Solve the following problem:

2x×4.65×6.3= 2x\times4.65\times6.3=

Video Solution

Solution Steps

00:00 Solve
00:03 Let's solve according to the order of operations, from left to right
00:12 We'll use the distributive property and split into whole number and remainder
00:18 Make sure to multiply by each factor
00:34 This is the first multiplication
00:47 We'll use long multiplication to solve the multiplication
00:53 Pay attention to the decimal point
01:11 And this is the solution to the question

Step-by-Step Solution

Upon observing the exercise note that we have two "regular" numbers and one number with a variable.
Given that this is a multiplication exercise, multiplying a number with a variable by a number without a variable doesn't present a problem.

In fact, it's important to remember that a variable attached to a number represents multiplication by itself, for example in this case: 2×x 2\times x
Therefore, we can apply the distributive property in order to separate the variable, and come back to it later.
Solve the exercise from left to right.

Solve the left exercise by breaking down the decimal number into an addition problem of a whole number and a decimal number as follows:

2×(4+0.65)= 2\times(4+0.65)=

Multiply 2 by each term inside of parentheses:

(2×4)+(2×0.65)= (2\times4)+(2\times0.65)=

Solve each of the expressions inside of the parentheses as follows:

8+1.3=9.3 8+1.3=9.3

We obtain the following exercise:

9.3×6.3= 9.3\times6.3=

Solve the exercise vertically in order to simplify the solution process.

It's important to be careful with the proper placement of the exercise, using the decimal point as an anchor.
Then we can proceed to multiply in order, first the ones digit of the first number by the ones digit of the second number. Then the tens digit of the first number by the ones digit of the second number, and so on.

9.3×6.3=58.59 9.3\\\times6.3\\=58.59

Don't forget to add the variable at the end resulting in the following answer:

58.59x 58.59x

Answer

58.59x 58.59x