Solve (1×10.3) + (10.1×4): Decimal Multiplication and Addition

(+1)×(10.3)+(10.1)×(+4)= (+1)\times(10.3)+(10.1)\times(+4)=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:04 Let's solve one operation at a time
00:09 1 multiplied by any number always equals the number itself
00:14 Now let's calculate the second multiplication
00:17 Let's break down the number into whole number and remainder
00:20 Let's properly open parentheses and multiply by each factor
00:31 This is the multiplication calculation, let's put it in the exercise
00:36 Let's calculate and solve
00:40 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

(+1)×(10.3)+(10.1)×(+4)= (+1)\times(10.3)+(10.1)\times(+4)=

2

Step-by-step solution

Let's solve the exercise by first solving the two multiplication problems, and then combining them:

1×10.3=10.3 1\times10.3=10.3

Now let's break down 10.1 and multiply it by 4 as follows:

(10+0.1)×4= (10+0.1)\times4=

Let's multiply 4 by 10 and then by 0.1:

40+0.4=40.4 40+0.4=40.4

Now we have the exercise:

10.3+40.4= 10.3+40.4=

We'll solve accordingly and get:

50.7 50.7

3

Final Answer

50.7 50.7

Practice Quiz

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What will be the sign of the result of the next exercise?

\( (-2)\cdot(-4)= \)

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