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How to Find the Missing Number in 8 × ? = -48
Mathematics
Grade 7 (Junior High School)
Question Content
Work out the missing number. 8 × ? = -48
Correct Answer
-6
Detailed Solution Steps
1
Step 1: Let the missing number be represented by the variable x. The equation becomes 8 × x = -48.
2
Step 2: To solve for x, divide both sides of the equation by 8 to isolate x: x = -48 ÷ 8.
3
Step 3: Calculate the division: since a positive number divided by a negative number gives a negative result, -48 ÷ 8 = -6.
Knowledge Points Involved
1
One-variable linear equation
A one-variable linear equation is an algebraic equation that contains only one variable, and the highest power of the variable is 1. It follows the form ax + b = 0 (a ≠ 0). In this problem, it is simplified to ax = c, which is a basic type of one-variable linear equation used to find unknown values in simple multiplication relationships.
2
Multiplication and division of positive and negative numbers
When multiplying or dividing two numbers, if the signs of the two numbers are the same, the result is positive; if the signs are different, the result is negative. In this problem, we use the rule that dividing a negative number by a positive number gives a negative quotient to get the final answer.
3
Isolating variables in equations
To find the value of an unknown variable in an equation, we perform inverse operations on both sides of the equation to isolate the variable. Here, since the variable is multiplied by 8, we use division (the inverse of multiplication) on both sides to get the variable alone.
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