Glencoe Math Accelerated, Student Edition
Glencoe Math Accelerated, Student Edition
1st Edition
ISBN: 9780076637980
Author: McGraw-Hill Glencoe
Publisher: MCG
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Question
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Chapter 3.4, Problem 48HP
To determine

To prove: that division of rational number is not commutative.

Expert Solution & Answer
Check Mark

Explanation of Solution

Given information:

Choose two fractions and use an area model or number line to show the division of rational numbers is not commutative.

Proof:

Choose two rational fractions as 14 and 34

Divide 34 by 14 and then divide 14 by 34 in order to check the division is commutative or not.

  Glencoe Math Accelerated, Student Edition, Chapter 3.4, Problem 48HP , additional homework tip 1

This number line represents 34÷14

And the quotient is 3.

  Glencoe Math Accelerated, Student Edition, Chapter 3.4, Problem 48HP , additional homework tip 2

This number line represents 14÷34

Here the denominator is greater than the nominator therefore the quotient is less than 1, hence quotient in both cases is not same.

Therefore,

It is obtained that the division of rational numbers is not commutative.

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Chapter 3.4, Problem 47IP
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Chapter 3.4, Problem 49HP

Chapter 3 Solutions

Glencoe Math Accelerated, Student Edition

Ch. 3.1 - Prob. 1GPCh. 3.1 - Prob. 2GPCh. 3.1 - Prob. 3GPCh. 3.1 - Prob. 4GPCh. 3.1 - Prob. 5GPCh. 3.1 - Prob. 6GPCh. 3.1 - Prob. 7GPCh. 3.1 - Prob. 8GPCh. 3.1 - Prob. 9GPCh. 3.1 - Prob. 10GP
Ch. 3.1 - Prob. 11GPCh. 3.1 - Prob. 12GPCh. 3.1 - Prob. 13GPCh. 3.1 - Prob. 14GPCh. 3.1 - Prob. 15GPCh. 3.1 - Prob. 16IPCh. 3.1 - Prob. 17IPCh. 3.1 - Prob. 18IPCh. 3.1 - Prob. 19IPCh. 3.1 - Prob. 20IPCh. 3.1 - Prob. 21IPCh. 3.1 - Prob. 22IPCh. 3.1 - Prob. 23IPCh. 3.1 - Prob. 24IPCh. 3.1 - Prob. 25IPCh. 3.1 - Prob. 26IPCh. 3.1 - Prob. 27IPCh. 3.1 - Prob. 28IPCh. 3.1 - Prob. 29IPCh. 3.1 - Prob. 30IPCh. 3.1 - Prob. 31IPCh. 3.1 - Prob. 32IPCh. 3.1 - Prob. 33IPCh. 3.1 - Prob. 34IPCh. 3.1 - Prob. 35IPCh. 3.1 - Prob. 36IPCh. 3.1 - Prob. 37IPCh. 3.1 - Prob. 38IPCh. 3.1 - Prob. 39IPCh. 3.1 - Prob. 40IPCh. 3.1 - Prob. 41IPCh. 3.1 - Prob. 42IPCh. 3.1 - Prob. 43IPCh. 3.1 - Prob. 44IPCh. 3.1 - Prob. 45IPCh. 3.1 - Prob. 46IPCh. 3.1 - Prob. 47IPCh. 3.1 - Prob. 48IPCh. 3.1 - Prob. 49IPCh. 3.1 - Prob. 50IPCh. 3.1 - Prob. 51IPCh. 3.1 - Prob. 52IPCh. 3.1 - Prob. 53IPCh. 3.1 - Prob. 54IPCh. 3.1 - Prob. 55IPCh. 3.1 - Prob. 56IPCh. 3.1 - Prob. 57IPCh. 3.1 - Prob. 58IPCh. 3.1 - Prob. 59HPCh. 3.1 - Prob. 60HPCh. 3.1 - Prob. 61HPCh. 3.1 - Prob. 62HPCh. 3.1 - Prob. 63HPCh. 3.1 - Prob. 64HPCh. 3.1 - Prob. 65STPCh. 3.1 - Prob. 66STPCh. 3.1 - Prob. 67STPCh. 3.1 - Prob. 68STPCh. 3.1 - Prob. 69CCRCh. 3.1 - Prob. 70CCRCh. 3.1 - Prob. 71CCRCh. 3.1 - Prob. 72CCRCh. 3.1 - Prob. 73CCRCh. 3.1 - Prob. 74CCRCh. 3.1 - Prob. 75CCRCh. 3.1 - Prob. 76CCRCh. 3.1 - Prob. 77CCRCh. 3.1 - Prob. 78CCRCh. 3.1 - Prob. 79CCRCh. 3.1 - Prob. 80CCRCh. 3.1 - Prob. 81CCRCh. 3.1 - Prob. 82CCRCh. 3.1 - Prob. 83CCRCh. 3.1 - Prob. 84CCRCh. 3.1 - Prob. 85CCRCh. 3.1 - Prob. 86CCRCh. 3.1 - Prob. 87CCRCh. 3.1 - Prob. 88CCRCh. 3.2 - Prob. 1GPCh. 3.2 - Prob. 2GPCh. 3.2 - Prob. 3GPCh. 3.2 - Prob. 4GPCh. 3.2 - Prob. 5GPCh. 3.2 - Prob. 6GPCh. 3.2 - Prob. 7GPCh. 3.2 - Prob. 8GPCh. 3.2 - Prob. 9GPCh. 3.2 - Prob. 10GPCh. 3.2 - Prob. 11IPCh. 3.2 - Prob. 12IPCh. 3.2 - Prob. 13IPCh. 3.2 - Prob. 14IPCh. 3.2 - Prob. 15IPCh. 3.2 - Prob. 16IPCh. 3.2 - Prob. 17IPCh. 3.2 - Prob. 18IPCh. 3.2 - Prob. 19IPCh. 3.2 - Prob. 20IPCh. 3.2 - Prob. 21IPCh. 3.2 - Prob. 22IPCh. 3.2 - Prob. 23IPCh. 3.2 - Prob. 24IPCh. 3.2 - Prob. 25IPCh. 3.2 - Prob. 26IPCh. 3.2 - Prob. 27IPCh. 3.2 - Prob. 28IPCh. 3.2 - Prob. 29IPCh. 3.2 - Prob. 30IPCh. 3.2 - Prob. 31IPCh. 3.2 - Prob. 32IPCh. 3.2 - Prob. 33IPCh. 3.2 - Prob. 34IPCh. 3.2 - Prob. 35IPCh. 3.2 - Prob. 36IPCh. 3.2 - Prob. 37IPCh. 3.2 - Prob. 38IPCh. 3.2 - Prob. 39IPCh. 3.2 - Prob. 40IPCh. 3.2 - Prob. 41IPCh. 3.2 - Prob. 42IPCh. 3.2 - Prob. 43IPCh. 3.2 - Prob. 44IPCh. 3.2 - Prob. 45IPCh. 3.2 - Prob. 46IPCh. 3.2 - Prob. 47IPCh. 3.2 - Prob. 48IPCh. 3.2 - Prob. 49IPCh. 3.2 - Prob. 50IPCh. 3.2 - Prob. 51IPCh. 3.2 - Prob. 52IPCh. 3.2 - Prob. 53IPCh. 3.2 - Prob. 54IPCh. 3.2 - Prob. 55IPCh. 3.2 - Prob. 56HPCh. 3.2 - Prob. 57HPCh. 3.2 - Prob. 58HPCh. 3.2 - Prob. 59HPCh. 3.2 - Prob. 60HPCh. 3.2 - Prob. 61STPCh. 3.2 - Prob. 62STPCh. 3.2 - Prob. 63STPCh. 3.2 - Prob. 64STPCh. 3.2 - Prob. 65CCRCh. 3.2 - Prob. 66CCRCh. 3.2 - Prob. 67CCRCh. 3.2 - Prob. 68CCRCh. 3.2 - Prob. 69CCRCh. 3.2 - Prob. 70CCRCh. 3.2 - Prob. 71CCRCh. 3.2 - Prob. 72CCRCh. 3.2 - Prob. 73CCRCh. 3.2 - Prob. 74CCRCh. 3.2 - Prob. 75CCRCh. 3.2 - Prob. 76CCRCh. 3.2 - Prob. 77CCRCh. 3.2 - Prob. 78CCRCh. 3.2 - Prob. 79CCRCh. 3.2 - Prob. 80CCRCh. 3.2 - Prob. 81CCRCh. 3.3 - Prob. 1GPCh. 3.3 - Prob. 2GPCh. 3.3 - Prob. 3GPCh. 3.3 - Prob. 4GPCh. 3.3 - Prob. 5GPCh. 3.3 - Prob. 6GPCh. 3.3 - Prob. 7GPCh. 3.3 - Prob. 8GPCh. 3.3 - Prob. 9GPCh. 3.3 - Prob. 10GPCh. 3.3 - Prob. 11GPCh. 3.3 - Prob. 12GPCh. 3.3 - Prob. 13GPCh. 3.3 - Prob. 14GPCh. 3.3 - Prob. 15IPCh. 3.3 - Prob. 16IPCh. 3.3 - Prob. 17IPCh. 3.3 - Prob. 18IPCh. 3.3 - Prob. 19IPCh. 3.3 - Prob. 20IPCh. 3.3 - Prob. 21IPCh. 3.3 - Prob. 22IPCh. 3.3 - Prob. 23IPCh. 3.3 - Prob. 24IPCh. 3.3 - Prob. 25IPCh. 3.3 - Prob. 26IPCh. 3.3 - Prob. 27IPCh. 3.3 - Prob. 28IPCh. 3.3 - Prob. 29IPCh. 3.3 - Prob. 30IPCh. 3.3 - Prob. 31IPCh. 3.3 - Prob. 32IPCh. 3.3 - Prob. 33IPCh. 3.3 - Prob. 34IPCh. 3.3 - Prob. 35IPCh. 3.3 - Prob. 36IPCh. 3.3 - Prob. 37IPCh. 3.3 - Prob. 38IPCh. 3.3 - Prob. 39IPCh. 3.3 - Prob. 40IPCh. 3.3 - Prob. 41IPCh. 3.3 - Prob. 42IPCh. 3.3 - Prob. 43IPCh. 3.3 - Prob. 44IPCh. 3.3 - Prob. 45IPCh. 3.3 - Prob. 46IPCh. 3.3 - Prob. 47IPCh. 3.3 - Prob. 48IPCh. 3.3 - Prob. 49IPCh. 3.3 - Prob. 50IPCh. 3.3 - Prob. 51IPCh. 3.3 - Prob. 52HPCh. 3.3 - Prob. 53HPCh. 3.3 - Prob. 54HPCh. 3.3 - Prob. 55HPCh. 3.3 - Prob. 56HPCh. 3.3 - Prob. 57HPCh. 3.3 - Prob. 58HPCh. 3.3 - Prob. 59HPCh. 3.3 - Prob. 60HPCh. 3.3 - Prob. 61HPCh. 3.3 - Prob. 62STPCh. 3.3 - Prob. 63STPCh. 3.3 - Prob. 64STPCh. 3.3 - Prob. 65STPCh. 3.3 - Prob. 66CCRCh. 3.3 - Prob. 67CCRCh. 3.3 - Prob. 68CCRCh. 3.3 - Prob. 69CCRCh. 3.3 - Prob. 70CCRCh. 3.3 - Prob. 71CCRCh. 3.3 - Prob. 72CCRCh. 3.3 - Prob. 73CCRCh. 3.3 - Prob. 74CCRCh. 3.3 - Prob. 75CCRCh. 3.3 - Prob. 76CCRCh. 3.3 - Prob. 77CCRCh. 3.3 - Prob. 78CCRCh. 3.3 - Prob. 79CCRCh. 3.3 - Prob. 80CCRCh. 3.3 - Prob. 81CCRCh. 3.3 - Prob. 82CCRCh. 3.3 - Prob. 83CCRCh. 3.3 - Prob. 84CCRCh. 3.3 - Prob. 85CCRCh. 3.3 - Prob. 86CCRCh. 3.3 - Prob. 87CCRCh. 3.3 - Prob. 88CCRCh. 3.3 - Prob. 89CCRCh. 3.3 - Prob. 90CCRCh. 3.3 - Prob. 91CCRCh. 3.3 - Prob. 92CCRCh. 3.3 - Prob. 93CCRCh. 3.3 - Prob. 94CCRCh. 3.3 - Prob. 95CCRCh. 3.4 - Prob. 1GPCh. 3.4 - Prob. 2GPCh. 3.4 - Prob. 3GPCh. 3.4 - Prob. 4GPCh. 3.4 - Prob. 5GPCh. 3.4 - Prob. 6GPCh. 3.4 - Prob. 7GPCh. 3.4 - Prob. 8GPCh. 3.4 - Prob. 9GPCh. 3.4 - Prob. 10GPCh. 3.4 - Prob. 11GPCh. 3.4 - Prob. 12GPCh. 3.4 - Prob. 13GPCh. 3.4 - Prob. 14GPCh. 3.4 - Prob. 15GPCh. 3.4 - Prob. 16GPCh. 3.4 - Prob. 17IPCh. 3.4 - Prob. 18IPCh. 3.4 - Prob. 19IPCh. 3.4 - Prob. 20IPCh. 3.4 - Prob. 21IPCh. 3.4 - Prob. 22IPCh. 3.4 - Prob. 23IPCh. 3.4 - Prob. 24IPCh. 3.4 - Prob. 25IPCh. 3.4 - Prob. 26IPCh. 3.4 - Prob. 27IPCh. 3.4 - Prob. 28IPCh. 3.4 - Prob. 29IPCh. 3.4 - Prob. 30IPCh. 3.4 - Prob. 31IPCh. 3.4 - Prob. 32IPCh. 3.4 - Prob. 33IPCh. 3.4 - Prob. 34IPCh. 3.4 - Prob. 35IPCh. 3.4 - Prob. 36IPCh. 3.4 - Prob. 37IPCh. 3.4 - Prob. 38IPCh. 3.4 - Prob. 39IPCh. 3.4 - Prob. 40IPCh. 3.4 - Prob. 41IPCh. 3.4 - Prob. 42IPCh. 3.4 - Prob. 43IPCh. 3.4 - Prob. 44IPCh. 3.4 - Prob. 45IPCh. 3.4 - Prob. 46IPCh. 3.4 - Prob. 47IPCh. 3.4 - Prob. 48HPCh. 3.4 - Prob. 49HPCh. 3.4 - Prob. 50HPCh. 3.4 - Prob. 51HPCh. 3.4 - Prob. 52HPCh. 3.4 - Prob. 53STPCh. 3.4 - Prob. 54STPCh. 3.4 - Prob. 55STPCh. 3.4 - Prob. 56STPCh. 3.4 - Prob. 57CCRCh. 3.4 - Prob. 58CCRCh. 3.4 - Prob. 59CCRCh. 3.4 - Prob. 60CCRCh. 3.4 - Prob. 61CCRCh. 3.4 - Prob. 62CCRCh. 3.4 - Prob. 63CCRCh. 3.4 - Prob. 64CCRCh. 3.4 - Prob. 65CCRCh. 3.4 - Prob. 66CCRCh. 3.4 - Prob. 67CCRCh. 3.4 - Prob. 68CCRCh. 3.4 - Prob. 69CCRCh. 3.4 - Prob. 70CCRCh. 3.4 - Prob. 71CCRCh. 3.4 - Prob. 72CCRCh. 3.4 - Prob. 73CCRCh. 3.4 - Prob. 74CCRCh. 3.4 - Prob. 75CCRCh. 3.4 - Prob. 76CCRCh. 3.4 - Prob. 77CCRCh. 3.5 - Prob. 1GPCh. 3.5 - Prob. 2GPCh. 3.5 - Prob. 3GPCh. 3.5 - Prob. 4GPCh. 3.5 - Prob. 5GPCh. 3.5 - Prob. 6GPCh. 3.5 - Prob. 7GPCh. 3.5 - Prob. 8GPCh. 3.5 - Prob. 9GPCh. 3.5 - Prob. 10GPCh. 3.5 - Prob. 11GPCh. 3.5 - Prob. 12IPCh. 3.5 - Prob. 13IPCh. 3.5 - Prob. 14IPCh. 3.5 - Prob. 15IPCh. 3.5 - Prob. 16IPCh. 3.5 - Prob. 17IPCh. 3.5 - Prob. 18IPCh. 3.5 - Prob. 19IPCh. 3.5 - Prob. 20IPCh. 3.5 - Prob. 21IPCh. 3.5 - Prob. 22IPCh. 3.5 - Prob. 23IPCh. 3.5 - Prob. 24IPCh. 3.5 - Prob. 25IPCh. 3.5 - Prob. 26IPCh. 3.5 - Prob. 27IPCh. 3.5 - Prob. 28IPCh. 3.5 - Prob. 29IPCh. 3.5 - Prob. 30IPCh. 3.5 - Prob. 31IPCh. 3.5 - Prob. 32IPCh. 3.5 - Prob. 33IPCh. 3.5 - Prob. 34IPCh. 3.5 - Prob. 35IPCh. 3.5 - Prob. 36IPCh. 3.5 - Prob. 37IPCh. 3.5 - Prob. 38IPCh. 3.5 - Prob. 39HPCh. 3.5 - Prob. 40HPCh. 3.5 - Prob. 41HPCh. 3.5 - Prob. 42HPCh. 3.5 - Prob. 43HPCh. 3.5 - Prob. 44STPCh. 3.5 - Prob. 45STPCh. 3.5 - Prob. 46STPCh. 3.5 - Prob. 47STPCh. 3.5 - Prob. 48CCRCh. 3.5 - Prob. 49CCRCh. 3.5 - Prob. 50CCRCh. 3.5 - Prob. 51CCRCh. 3.5 - Prob. 52CCRCh. 3.5 - Prob. 53CCRCh. 3.5 - Prob. 54CCRCh. 3.5 - Prob. 55CCRCh. 3.5 - Prob. 56CCRCh. 3.5 - Prob. 57CCRCh. 3.5 - Prob. 58CCRCh. 3.5 - Prob. 59CCRCh. 3.5 - Prob. 60CCRCh. 3.5 - Prob. 61CCRCh. 3.5 - Prob. 62CCRCh. 3.5 - Prob. 63CCRCh. 3.5 - Prob. 64CCRCh. 3.5 - Prob. 65CCRCh. 3.5 - Prob. 66CCRCh. 3.5 - Prob. 67CCRCh. 3.5 - Prob. 68CCRCh. 3.5 - Prob. 69CCRCh. 3.6 - Prob. 1GPCh. 3.6 - Prob. 2GPCh. 3.6 - Prob. 3GPCh. 3.6 - Prob. 4GPCh. 3.6 - Prob. 5GPCh. 3.6 - Prob. 6GPCh. 3.6 - Prob. 7GPCh. 3.6 - Prob. 8GPCh. 3.6 - Prob. 9GPCh. 3.6 - Prob. 10GPCh. 3.6 - Prob. 11GPCh. 3.6 - Prob. 12GPCh. 3.6 - Prob. 13GPCh. 3.6 - Prob. 14IPCh. 3.6 - Prob. 15IPCh. 3.6 - Prob. 16IPCh. 3.6 - Prob. 17IPCh. 3.6 - Prob. 18IPCh. 3.6 - Prob. 19IPCh. 3.6 - Prob. 20IPCh. 3.6 - Prob. 21IPCh. 3.6 - Prob. 22IPCh. 3.6 - Prob. 23IPCh. 3.6 - Prob. 24IPCh. 3.6 - Prob. 25IPCh. 3.6 - Prob. 26IPCh. 3.6 - Prob. 27IPCh. 3.6 - Prob. 28IPCh. 3.6 - Prob. 29IPCh. 3.6 - Prob. 30IPCh. 3.6 - Prob. 31IPCh. 3.6 - Prob. 32IPCh. 3.6 - Prob. 33IPCh. 3.6 - Prob. 34IPCh. 3.6 - Prob. 35IPCh. 3.6 - Prob. 36IPCh. 3.6 - Prob. 37IPCh. 3.6 - Prob. 38IPCh. 3.6 - Prob. 39IPCh. 3.6 - Prob. 40IPCh. 3.6 - Prob. 41IPCh. 3.6 - Prob. 42IPCh. 3.6 - Prob. 43IPCh. 3.6 - Prob. 44IPCh. 3.6 - Prob. 45IPCh. 3.6 - Prob. 46IPCh. 3.6 - Prob. 47HPCh. 3.6 - Prob. 48HPCh. 3.6 - Prob. 49HPCh. 3.6 - Prob. 50HPCh. 3.6 - Prob. 51HPCh. 3.6 - Prob. 52HPCh. 3.6 - Prob. 53STPCh. 3.6 - Prob. 54STPCh. 3.6 - Prob. 55STPCh. 3.6 - Prob. 56STPCh. 3.6 - Prob. 57CCRCh. 3.6 - Prob. 58CCRCh. 3.6 - Prob. 59CCRCh. 3.6 - Prob. 60CCRCh. 3.6 - Prob. 61CCRCh. 3.6 - Prob. 62CCRCh. 3.6 - Prob. 63CCRCh. 3.6 - Prob. 64CCRCh. 3.6 - Prob. 65CCRCh. 3.6 - Prob. 66CCRCh. 3.6 - Prob. 67CCRCh. 3.6 - Prob. 68CCRCh. 3.6 - Prob. 69CCRCh. 3 - Prob. 1CRCh. 3 - Prob. 2CRCh. 3 - Prob. 3CRCh. 3 - Prob. 4CRCh. 3 - Prob. 5CRCh. 3 - Prob. 6CRCh. 3 - Prob. 7CRCh. 3 - Prob. 8CRCh. 3 - Prob. 9CRCh. 3 - Prob. 10CRCh. 3 - Prob. 11CRCh. 3 - Prob. 12CRCh. 3 - Prob. 13CRCh. 3 - Prob. 14CRCh. 3 - Prob. 15CRCh. 3 - Prob. 16CRCh. 3 - Prob. 17CRCh. 3 - Prob. 18CRCh. 3 - Prob. 19CRCh. 3 - Prob. 20CRCh. 3 - Prob. 21CRCh. 3 - Prob. 22CRCh. 3 - Prob. 23CRCh. 3 - Prob. 24CRCh. 3 - Prob. 25CRCh. 3 - Prob. 26CRCh. 3 - Prob. 27CRCh. 3 - Prob. 28CRCh. 3 - Prob. 29CRCh. 3 - Prob. 30CRCh. 3 - Prob. 31CRCh. 3 - Prob. 32CRCh. 3 - Prob. 33CRCh. 3 - Prob. 34CRCh. 3 - Prob. 35CRCh. 3 - Prob. 36CRCh. 3 - Prob. 37CRCh. 3 - Prob. 38CRCh. 3 - Prob. 39CRCh. 3 - Prob. 40CRCh. 3 - Prob. 41CRCh. 3 - Prob. 42CRCh. 3 - Prob. 43CRCh. 3 - Prob. 44CRCh. 3 - Prob. 45CRCh. 3 - Prob. 46CRCh. 3 - Prob. 47CRCh. 3 - Prob. 48CRCh. 3 - Prob. 49CRCh. 3 - Prob. 50CRCh. 3 - Prob. 51CRCh. 3 - Prob. 52CRCh. 3 - Prob. 53CRCh. 3 - Prob. 54CRCh. 3 - Prob. 55CRCh. 3 - Prob. 56CRCh. 3 - Prob. 57CRCh. 3 - Prob. 58CRCh. 3 - Prob. 59CRCh. 3 - Prob. 60CRCh. 3 - Prob. 61CRCh. 3 - Prob. 62CRCh. 3 - Prob. 63CRCh. 3 - Prob. 64CRCh. 3 - Prob. 65CRCh. 3 - Prob. 66CRCh. 3 - Prob. 67CRCh. 3 - Prob. 68CRCh. 3 - Prob. 69CRCh. 3 - Prob. 70CRCh. 3 - Prob. 71CRCh. 3 - Prob. 72CRCh. 3 - Prob. 73CRCh. 3 - Prob. 74CRCh. 3 - Prob. 75CRCh. 3 - Prob. 76CRCh. 3 - Prob. 77CR

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