Why we cannot use distributive property in -3/7×1-1/14 ?? (see example...
Because in this question,all numbers are different.
if there are two same numbers,then we can use distributive property.
Why we cannot use distributive property in -3/7×1-1/14 ?? (see example...
Why we cannot use distributive property in -3/7 × 1 - 1/14?
Explanation:
Introduction:
The distributive property is a fundamental property in mathematics that allows us to multiply a number by a sum or difference of other numbers. It states that for any numbers a, b, and c, a × (b + c) = a × b + a × c.
Example:
Let's consider the expression -3/7 × 1 - 1/14.
Step 1: Applying the distributive property:
If we try to apply the distributive property to this expression, we would have:
-3/7 × 1 - 1/14 = (-3/7) × 1 + (-3/7) × (-1/14)
Step 2: Simplifying the expression:
Now, let's simplify this expression further:
(-3/7) × 1 = -3/7
(-3/7) × (-1/14) = 3/98
So, the expression becomes:
-3/7 + 3/98
Step 3: Finding the common denominator:
To add fractions, we need to find a common denominator. In this case, the common denominator is 98, which is the least common multiple of 7 and 14.
Step 4: Converting fractions to have the same denominator:
To make the fractions have the same denominator, we need to multiply the numerator and denominator of each fraction by the appropriate factor. For -3/7, we multiply the numerator and denominator by 14, and for 3/98, we multiply the numerator and denominator by 7.
-3/7 + 3/98 = (-3 × 14)/(7 × 14) + (3 × 7)/(98 × 7)
= -42/98 + 21/98
Step 5: Adding the fractions:
Now that the fractions have the same denominator, we can add them together:
-42/98 + 21/98 = -21/98
Conclusion:
In this case, we cannot use the distributive property because the expression does not involve a sum or difference of numbers. It only involves the multiplication of fractions. The distributive property is not applicable in this scenario, and we need to simplify the expression using other fraction operations.
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