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Question Find the equation that is not true: A. −4+(−3)=−7-4+(-3)=-7 B. −8(2)=−16-8(2)=-16 C. 3−(−2)=53-(-2)=5 D. −12/(−3)=−4-12 /(-3)=-4

Studdy Solution

STEP 1

Assumptions
1. We are given four different equations.
2. We need to determine which one of these equations is NOT true.

STEP 2

Evaluate option A.
−4+(−3)-4+(-3)

STEP 3

Add the two negative numbers together.
−4+(−3)=−4−3-4+(-3) = -4 - 3

STEP 4

Calculate the sum.
−4−3=−7-4 - 3 = -7

STEP 5

Since the result matches the equation given in option A, we conclude that option A is true.

STEP 6

Evaluate option B.
−8(2)-8(2)

STEP 7

Multiply the negative number by the positive number.
−8×2-8 \times 2

STEP 8

Calculate the product.
−8×2=−16-8 \times 2 = -16

STEP 9

Since the result matches the equation given in option B, we conclude that option B is true.

STEP 10

Evaluate option C.
3−(−2)3-(-2)

STEP 11

Subtract the negative number from the positive number, which is the same as adding the positive equivalent of the negative number.
3−(−2)=3+23 - (-2) = 3 + 2

STEP 12

Calculate the sum.
3+2=53 + 2 = 5

STEP 13

Since the result matches the equation given in option C, we conclude that option C is true.

STEP 14

Evaluate option D.
−12/(−3)-12 /(-3)

STEP 15

Divide the negative number by the negative number.
−12÷(−3)-12 \div (-3)

STEP 16

Calculate the quotient.
−12÷(−3)=4-12 \div (-3) = 4

STEP 17

Since the result does not match the equation given in option D (which states −12/(−3)=−4-12 /(-3)=-4), we conclude that option D is NOT true.
The equation that is NOT true is option D: −12/(−3)=−4-12 /(-3)=-4.

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