Solved on Nov 16, 2023

Complete the equation and identify the property used. Determine the value of the underlined expression. $8 \times(14+7)=84+(8 \times 7)$ $7+(8+12)=\underline{47}+12$

STEP 1

Assumptions1. We are dealing with basic arithmetic operations, namely addition and multiplication. . The properties of operations we might use include the commutative, associative, and distributive properties.
3. The equations are already partially solved, and we need to complete them.

STEP 2

Let's start with equation13. We need to complete the equation and identify the property used.
The equation is $8 \times(14+7)=84+(8 \times7)$

STEP 3

First, let's simplify the left side of the equation using the distributive property of multiplication over addition.
$8 \times(14+7) =8 \times14 +8 \times7$

STEP 4

Now, let's simplify the right side of the equation.The right side of the equation is already simplified as $84+(8 \times7)$

STEP 5

Now, let's equate the left and right sides of the equation.
$8 \times14 +8 \times7 =84+(8 \times7)$

STEP 6

The property used here is the distributive property of multiplication over addition.
Now, let's move on to equation14.

STEP 7

The equation is $7+(+12)=\underline{47}+12$

STEP 8

First, let's simplify the left side of the equation using the associative property of addition.
$7+(8+12) = (7+8) +12$

STEP 9

Now, let's simplify the right side of the equation.The right side of the equation is already simplified as $\underline{47}+12$

STEP 10

Now, let's equate the left and right sides of the equation.
$(7+8) +12 = \underline{47}+12$

STEP 11

The property used here is the associative property of addition.

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Complete the equation and identify the property used. Determine the value of the underlined expression. $8 \times(14+7)=84+(8 \times 7)$ $7+(8+12)=\underline{47}+12$

STEP 1

Assumptions1. We are dealing with basic arithmetic operations, namely addition and multiplication. . The properties of operations we might use include the commutative, associative, and distributive properties.
3. The equations are already partially solved, and we need to complete them.

STEP 2

Let's start with equation13. We need to complete the equation and identify the property used.
The equation is $8 \times(14+7)=84+(8 \times7)$

STEP 3

First, let's simplify the left side of the equation using the distributive property of multiplication over addition.
$8 \times(14+7) =8 \times14 +8 \times7$

STEP 4

Now, let's simplify the right side of the equation.The right side of the equation is already simplified as $84+(8 \times7)$

STEP 5

Now, let's equate the left and right sides of the equation.
$8 \times14 +8 \times7 =84+(8 \times7)$

STEP 6

The property used here is the distributive property of multiplication over addition.
Now, let's move on to equation14.

STEP 7

The equation is $7+(+12)=\underline{47}+12$

STEP 8

First, let's simplify the left side of the equation using the associative property of addition.
$7+(8+12) = (7+8) +12$

STEP 9

Now, let's simplify the right side of the equation.The right side of the equation is already simplified as $\underline{47}+12$

STEP 10

Now, let's equate the left and right sides of the equation.
$(7+8) +12 = \underline{47}+12$

STEP 11

The property used here is the associative property of addition.

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Complete the equation and identify the property used. Determine the value of the underlined expression. 8×(14+7)=84+(8×7)8 \times(14+7)=84+(8 \times 7)8×(14+7)=84+(8×7) 7+(8+12)=47‾+127+(8+12)=\underline{47}+127+(8+12)=47​+12

STEP 1

Assumptions1. We are dealing with basic arithmetic operations, namely addition and multiplication. . The properties of operations we might use include the commutative, associative, and distributive properties.3. The equations are already partially solved, and we need to complete them.

STEP 2

Let's start with equation13. We need to complete the equation and identify the property used.The equation is 8×(14+7)=84+(8×7)8 \times(14+7)=84+(8 \times7)8×(14+7)=84+(8×7)

STEP 3

First, let's simplify the left side of the equation using the distributive property of multiplication over addition.8×(14+7)=8×14+8×78 \times(14+7) =8 \times14 +8 \times78×(14+7)=8×14+8×7

STEP 4

Now, let's simplify the right side of the equation.The right side of the equation is already simplified as 84+(8×7)84+(8 \times7)84+(8×7)

STEP 5

Now, let's equate the left and right sides of the equation.8×14+8×7=84+(8×7)8 \times14 +8 \times7 =84+(8 \times7)8×14+8×7=84+(8×7)

STEP 6

The property used here is the distributive property of multiplication over addition.Now, let's move on to equation14.

STEP 7

The equation is 7+(+12)=47‾+127+(+12)=\underline{47}+127+(+12)=47​+12

STEP 8

First, let's simplify the left side of the equation using the associative property of addition.7+(8+12)=(7+8)+127+(8+12) = (7+8) +127+(8+12)=(7+8)+12

STEP 9

Now, let's simplify the right side of the equation.The right side of the equation is already simplified as 47‾+12\underline{47}+1247​+12

STEP 10

Now, let's equate the left and right sides of the equation.(7+8)+12=47‾+12(7+8) +12 = \underline{47}+12(7+8)+12=47​+12

STEP 11

The property used here is the associative property of addition.

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Complete the equation and identify the property used. Determine the value of the underlined expression. $8 \times(14+7)=84+(8 \times 7)$ $7+(8+12)=\underline{47}+12$

Assumptions1. We are dealing with basic arithmetic operations, namely addition and multiplication. . The properties of operations we might use include the commutative, associative, and distributive properties.
3. The equations are already partially solved, and we need to complete them.

Let's start with equation13. We need to complete the equation and identify the property used.
The equation is $8 \times(14+7)=84+(8 \times7)$

First, let's simplify the left side of the equation using the distributive property of multiplication over addition.
$8 \times(14+7) =8 \times14 +8 \times7$

Now, let's simplify the right side of the equation.The right side of the equation is already simplified as $84+(8 \times7)$

Now, let's equate the left and right sides of the equation.
$8 \times14 +8 \times7 =84+(8 \times7)$

The property used here is the distributive property of multiplication over addition.
Now, let's move on to equation14.

The equation is $7+(+12)=\underline{47}+12$

First, let's simplify the left side of the equation using the associative property of addition.
$7+(8+12) = (7+8) +12$

Now, let's simplify the right side of the equation.The right side of the equation is already simplified as $\underline{47}+12$

Now, let's equate the left and right sides of the equation.
$(7+8) +12 = \underline{47}+12$