Pre-Algebra
1st Edition
ISBN: 9780618800766
Author: Ron Larson, Lee Stiff, Laurie Boswell, Timothy Kanold
Publisher: Houghton Mifflin-High School
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Question
Chapter 4.2, Problem 50E
To determine
To find the GCF of a and b and explain it.
Expert Solution & Answer
Answer to Problem 50E
‘a’ is the GCF of ‘a’ and ‘b’.
Explanation of Solution
Given Information:a and b are non zero whole numbers and a is a factor of b .
Formula Used:if a is a factor of b, then the GCF between the two numbers will be a. This is because, as ‘a’ is a factor of ‘b’, then ‘a’ cannot have a factor which is greater than itself.
Calculation:
To prove this, lets take 3 examples.
ExampleI Lets assume a=6 & b=42. Now
The factors of 6 are: 1, 2, 3, 6
The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42
Then the greatest common factor is 6, i.e. ‘a’.
ExampleII Lets assume a=7 & b=42 Now
The factors of 7 are: 1, 7
The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42
Then the greatest common factor is 7, i.e. ‘a’.
ExampleIII Lets assume a=8 & b=48 . Now
The factors of 8 are: 1, 2, 4, 8
The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Then the greatest common factor is 8, i.e. ‘a’.
Therefore, for all 3 values of ‘a’ i.e. 6, 7, and 8, the GCF for all three numbers were 6, 7 and 8 respectively. By this can conclude that a number which is a factor of another number, is the GCF between the two of them.
Hence proved.
Chapter 4 Solutions
Pre-Algebra
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- PRIMERA EVALUACIÓN SUMATIVA 10. Determina la medida de los ángulos in- teriores coloreados en cada poligono. ⚫ Octágono regular A 11. Calcula es número de lados qu poligono regular, si la medida quiera de sus ángulos internos • a=156° A= (-2x+80 2 156 180- 360 0 = 24-360 360=24° • a = 162° 1620-180-360 6=18-360 360=19 2=360= 18 12. Calcula las medida ternos del cuadrilá B X+5 x+10 A X+X+ Sx+6 5x=3 x=30 0 лаб • Cuadrilátero 120° 110° • α = 166° 40' 200=180-360 0 = 26-360 360=20 ひ=360 20 18 J 60° ⚫a=169° 42' 51.43" 169.4143180-340 0 = 10.29 54-360 360 10.2857 2=360 10.2857 @Saarrow_forwardPlease help I'm a working mom trying to help my son last minute (6th grader)! Need help with the blank ones and check the ones he got with full calculation so we can use it to study! Especially the mixed number fractions cause I'm rusty. Thanks in advance!arrow_forward|| 38 5층-11- 6 4 7 2 6arrow_forward
- Ms.sally has 12 studentsMr Franklin has twice as many students as Ms. Sally.how many students does Mr Franklin have?arrow_forwardexplainwhat is means for a shape to be symmetricarrow_forwarde Grade Breakdown x Dashboard | Big Spring HX Dashboard | Big Spring H x Home | Lesson | Assessm cds.caolacourses.edisonlearning.com/lessons/assessmentplayer Co bigspringsd.org bookmarks Prodigy New Tab my video Brielynn... Algebra 2 Part 1-Exam-EDCP.MA003.A D Question 6 D ? 10 17°F Mostly sunny BSMS Home Significant Events in... Classes 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 Solve using row operations: x-3y= -4; 2x - y = 7 Use the paperclip button below to attach files. Student can enter max 2000 characters BISU DAIAAA X2 X2 T ② Type here Q Search e I ✓ Paragra Oarrow_forward
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