Start learning today, and be successful in your academic & professional career. Start Today!

Loading video...

### Multiplication and Division Techniques

- For more complex equations, isolate the variable and solve the equation by using the multiplication property of equality. If you multiply each side of an equation by the same quantity, the resulting equation has the same solutions as the original one.
- You can also isolate the variable and solve the equation by using the division property of equality. If you divide each side of an equation by the same
*nonzero*quantity, the resulting equation has the same solutions as the original one. - Use these properties to convert an equation in which the variable has a coefficient different from 1 into an equation in which the coefficient is 1.

### Multiplication and Division Techniques

[y/12] = 3

- 12 ×( [y/12] ) = 3 ×12

y = 36

[g/9] = 17

- 9 ×( [g/9] ) = 17 ×9

g = 153

22i = 132

- [22i/22] = [132/22]
- i = [132/22]

i = 6

( 3[1/3] )s = [2/4]

- [10/3]s = [2/4]
- ( [3/10] ) ×[10/3]s = [2/4] ×( [3/10] )
- s = [6/40] = [3/20]

**s**

**=**[(

**3**)/(

**20**)]

( 4[2/7] )l = [3/5]

- [30/7]l = [3/5]
- ( [7/30] ) ×[30/7]l = [3/5] ×( [7/30] )
- l = [21/150] = [7/50]

**l**

**=**[(

**7**)/(

**50**)]

− 12j = 480

- [( − 12j)/( − 12)] = [480/12]

j = 40

Four and one fifths times a number is equal to two and three eighths. What is the number?

- 4[1/5]x = 2[3/8]
- [21/5]x = [19/8]
- ( [5/21] ) ×[21/5]x = [19/8]v ×( [5/21] )

**x**

**=**[(

**95**)/(

**168**)]

Three tenths of a number is equal to three and seven eighths. What is that number?

- [3/10]d = 3[7/8]
- [3/10]d = [31/8]
- ( [10/3] ) ×[3/10]d = [31/8] ×( [10/3] )
- d = [310/24] = [155/12]

**d**

**=**[(

**155**)/(

**12**)]

Fifty - two divided by a number is four.

- [52/h] = 4
- h ×[52/h] = 4 ×h
- 52 = 4h

13 = h

( 12[4/9] )w = [11/13]

- [112/9]w = [11/13]
- ( [9/112] ) ×[112/9]w = [11/13] ×( [9/112] )

**w**

**=**[(

**99**)/(

**1456**)]

*These practice questions are only helpful when you work on them offline on a piece of paper and then use the solution steps function to check your answer.

Answer

### Multiplication and Division Techniques

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

- Intro 0:00
- Isolating the Variable
- Techniques 0:34
- Multiplication Principle
- Example
- Division Principle
- Example
- Strategy 3:12
- Example
- Opposite Operation
- Example 1: Solve Equation 5:07
- Example 2: Solve Equation 6:50
- Example 3: Solve Equation 10:05
- Example 4: Word Problem 12:07

0 answers

Post by Michael Romanov on October 26, 2016

reciprocal

2 answers

Last reply by: musse Wacays

Fri Jul 24, 2015 6:18 PM

Post by Megan Daly on March 1, 2015

In the last segment of your lesson you multiply the reciprocal of the term and you multiply straight across 3/11(11/3)z= 1/4(3/11) and then you get z= 3/44 I'm trying to figure out why you did not get the lcm to determine the new denominator and why you multiplies straight across. Thank you for your time

1 answer

Last reply by: Dr Carleen Eaton

Thu Jun 6, 2013 10:54 PM

Post by Karlo Wiley on June 6, 2013

if you want to multiply a fraction and a whole number for example: 1/4xy2(56x2-49xy+y2) how do i do it?

0 answers

Post by David Hannam on March 18, 2013

Ya I caught that as well. I think she ran out of time, but point taken

2 answers

Last reply by: Dr Carleen Eaton

Wed May 12, 2010 12:05 AM

Post by shah Mahmoodi on April 15, 2010

Example 4: word problem was not reduce by Dr Carleen Eaton; however it is not important for those people know the higher level of math but is make so much different for new learns. New learns will face challenge later on if DR Carleen does not pay attention on small details or assume that very body knows these concepts.

the answer this question is X=1 25\44

Note: gays Dr Carleen Is excellent teacher but it human error can happen; we learn from each other.