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2 years ago

What is the distribution property of 4 times 37

Mathematics

1 answer:

hjlf2 years ago

7 0

Answer:

4(30 +7) = 120 +28 = 148

Step-by-step explanation:

When applying the distributive property to integers, we usually break them apart according to place value. That is not the only way it can be done.

4×37 = 4(30 +7) = 4·30 +4·7 = 120 +28 = 148

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You can also break apart 37 other ways:

4×37 = 4(35 +2) = 4·35 +4·2 = 140 +8 = 148

4×37 = 4(40 -3) = 4·40 -4·3 = 160 -12 = 148

Or, you can break apart 4:

37×4 = 37(2 +2) = 37·2 +37·2 = 74 +74 = 148

_____

The distributive property is usually written in generic form as ...

a(b+c) = ab +ac

Then you may want to stop after the first couple of steps:

4(30 +7) = 4·30 +4·7

We can't tell if you're suppose to evaluate the expression or not. Check your reference materials for an example of this kind of problem.

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3 years ago

Which of the following describes the correct process for solving the equation 2x − 4 = 20 and arrives at the correct solution?

Alexxandr [17]

Answer:

a) Add 4 to both sides, and then divide by 2. The solution is $x=12$ .

Step-by-step explanation:

Question:

Which of the following describes the correct process for solving the equation 2x − 4 = 20 and arrives at the correct solution?

a) Add 4 to both sides, and then divide by 2. The solution is x = 12.

b) Divide both sides by −4, and then subtract 2. The solution is x = −7.

c) Subtract 4 from both sides, and then divide by 2. The solution is x = −12.

d) Multiply both sides by −4, and then divide by 2. The solution is x = −40.

Solution:

Given equation:

$2x-4=20$

We need to determine the steps in order to solve for $x$ .

Solving for $x$ .

Step 1: Adding 4 both sides.

$2x-4+4=20+4$

$2x=24$

Step 2: Dividing both sides by 2.

$\frac{2x}{2}=\frac{24}{2}$

∴ $x=12$

Thus, we added 4 both sides and then divided both sides by 2 to get solution = 12

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3 years ago

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timurjin [86]

Answer:

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step by step explaination:

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3 years ago

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