Textbook Question
In Exercises 1–12, find each absolute value.|-7|
1053
views
0. Review of Algebra
Exponents
1:06 minutesProblem 4
Textbook Question
The reciprocal of 6/2 is 3/1.
Verified step by step guidance1
Recall that the reciprocal of a fraction \(\frac{a}{b}\) is obtained by swapping the numerator and denominator, resulting in \(\frac{b}{a}\).
Start with the given fraction \(\frac{6}{2}\).
Find the reciprocal by swapping the numerator and denominator: the reciprocal of \(\frac{6}{2}\) is \(\frac{2}{6}\).
Simplify the reciprocal fraction \(\frac{2}{6}\) by dividing numerator and denominator by their greatest common divisor, which is 2.
After simplification, the reciprocal becomes \(\frac{1}{3}\), which is not equal to \(\frac{3}{1}\), so the statement is incorrect.
Verified video answer for a similar problem:This video solution was recommended by our tutors as helpful for the problem above
Video duration:
1mKey Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Reciprocal of a Number
The reciprocal of a number is obtained by swapping its numerator and denominator if it is a fraction. For example, the reciprocal of a/b is b/a. Multiplying a number by its reciprocal always results in 1.
Recommended video:
4:47
The Number e
Simplifying Fractions
Simplifying fractions involves reducing them to their lowest terms by dividing the numerator and denominator by their greatest common divisor. This makes it easier to compare or work with fractions.
Recommended video:
Guided course
05:45Radical Expressions with Fractions
Order of Operations and Fraction Interpretation
Understanding how to interpret expressions like 6/2 is crucial; it means 6 divided by 2, which equals 3. Recognizing this helps avoid errors when finding reciprocals or simplifying expressions.
Recommended video:
Guided course
8:38Performing Row Operations on Matrices
Related Videos
Related Practice