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Andru [333]
2 years ago
13

Which property of multiplication is shown? 6 · 1 = 1 · 6

Mathematics
2 answers:
qwelly [4]2 years ago
6 0

Answer:

The Commutative Property of Multiplication

Step-by-step explanation:

6 * 1 = 1 * 6

Commutative property: When the numbers are moved around in multiplication, the answer will stay the same

Distributive property: When you distribute the equation into parts instead of completing an operation or operations all at once

Associative property: In equations where you are adding or multiplying, it does not matter where the parenthesis are placed

The Commutative property of multiplication is shown in this equation because the numbers are being moved around. The 1 and the 6 switched places, but the product is still the same.

Hope this helps :)

saw5 [17]2 years ago
5 0

Answer: Commutative property of multiplication  

Step-by-step explanation: The problem 6 · 1 = 1 · 6 demonstrates the commutative property of multiplication.

In other words, the commutative property of multiplication says that changing the order of the factors does not change the product.  

So for example here, 6 · 1 is equal to 6 and 1 · 6 also equals 6.

Since 6 = 6, we can easily see that 6 · 1 must be equal to 1 · 6.

In more general terms, the commutative property of multiplication can be written as a · b = b · a where <em>a</em> and <em>b</em> are variables that can represent any numbers.

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So,

We'll just use A to represent both Jan and Mya's miles, since they ran the same number.

We have the equations:
1. Jan (J) = Mya (M)
2. Sara (S) = M - 8
3. 2A + S = 64
J = M
S = M - 8

We'll just use A to represent both J and M.

S = M - 8

We'll use Elimination by Substitution.
2A + A - 8 = 64

Collect Like Terms
3A - 8 = 64

Add 8 to both sides
3A = 72

Divide both sides by 3
A = 24

Since
A = J
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A = M
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then
J = 24
M = 24

Substitute
S = 24 - 8
S = 16

Check
24 + 24 + 16 = 64
64 = 64 This checks.

So,
J = 24
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