Guide :

# what is the distributive law of multiplication?

I am a primary school teacher in the uk , and dont understand this termanogy 'distributive law of multipication '

## Research, Knowledge and Information :

### Commutative, Associative and Distributive Laws - Math Is Fun

Commutative, Associative and Distributive Laws. ... Distributive Law. ... Sometimes it is easier to break up a difficult multiplication:

### Definition of Distributive Law - Math Is Fun

The Distributive Law says that multiplying a number by a group of numbers added together is the same as doing each multiplication ... Associative and Distributive Laws.

### Distributive property - Wikipedia

... the distributive property of binary operations generalizes the distributive law from elementary algebra. ... the distributive property of multiplication ...

### distributive law | mathematics | Britannica.com

distributive law: in mathematics, the law relating the operations of multiplication and addition, ... Commutative, Associative and Distributive Laws;

Learn how to apply the distributive law of multiplication over addition and why it works. This is sometimes just called the distributive law or the distributive property.

### ALGEBRA LAWS FAQ - Whatcom Community College : Home

Commutative, Associative, Distributive Laws Why does (3 + 4) ... it is the "Commutative Law of Multiplication." ... ALGEBRA LAWS FAQ.doc

### Laws of Algebra - iPracticeMath

... commutative law for multiplication, ... We have studied Distributive law which states that `a . ( b + c ) = ( a . b ) + ( a . c )` Here we can split up 14 = 10 + 4

### Laws of addition and multiplication - Bymath.com

Associative laws of addition and multiplication. Distributive law of multiplication over addition. ... Distributive law of multiplication over addition: ...

### Understanding the Distributive Law - YouTube

Nov 16, 2011 · In this video we look at why the distributive law a(b+c) = ab + ac from elementary algebra is true. We look at simple numerical examples and general ...

### Distributive law | Define Distributive law at Dictionary.com

Distributive law definition at Dictionary.com, ... which tacitly assumes the distributive law in multiplication. ... distributive law; distributive property;

## Suggested Questions And Answer :

### Use the associative law of multiplication to write an equivalent expression. 5[x(2 + y)]

5[x(2 + y)] = (5x)(2 + y) Note that we are to use associativity of multiplication and nothing else. Thus, do not distribute 5x into (2 + y).

### what is the distributive law of multiplication?

dirstribute kombine (+ & -) with (* & /) zampel: 3*(2+4)=3*2 +3*4

### what is the answer to t ( t +3 )

This is a multiplication problem.  It is the distributive law t * (t + 3) = t * t + 3 * t = t^2 + 3t read tsquared plus 3 times t.

### what property is 3(x+2)+1=8

3(x + 2) + 1 = 8 3x + 6 + 1 = 8 [Distributive property] 3x + 7 = 8 (3x + 7) + (-7) = 8 + (-7) 3x + (7 + -7) = 8 + -7 [Associativity of addition] 3x + 0 = 1 [Addition of additive inverse] 3x = 1 [0 is the additive identity] (1/3)(3x) = (1/3)(1) (1/3 * 3)x = (1/3)(1) [Associativity of multiplication] (1)x = (1/3)(1) [Multiplication of multiplicative inverse] x = 1/3 [1 is the multiplicative identity]

### distributive property of multiplication of rational numbers and simplify -5/4 * 8/9 + 5/7

(8/9) *(-5/4) + (5/7) =-(40/36) +(5/7) or -(10/9)+(5/7) or (-70/63) +(45/63) =(45-70)/63 =-25/63 =-0.396825396...

### simplify 5(-3 1/4)+ 5(-6 3/4)=

5(-3 1/4) + 5(-6 3/4) = 5(-13/4) + 5(-27/4) [Changing fractions to improper fractions] = -65/4 + -135/4 [Distributive law] = -[65/4 + 135/4] [Distributive law] = -[200/4] [adding of terms] = -[50] [simplfying of fraction] = -50

1 2 3 4 6

### one in four adults claims to have no trouble sleeping at night. you randomly select five adults and ask them if they have any trouble sleeping at night

Probability p=1/4=0.25; 1-p=0.75 the probability of having trouble sleeping. Mean=5*0.25=1.25 average of people claiming to have no trouble sleeping. Variance=5*0.25*0.75=0.9375, so standard deviation is sqrt(0.9375)=0.97 approx. In the small sample the mean and standard deviation are respectively 1.25 and 0.97, which means that the expected results of a survey of 5 people lie in the range 1.25-0.97=0.28 and 1.25+0.97=2.22, i.e., between 0.28 and 2.22. Binomial distribution is based on the expansion of (0.25+0.75)^5 which has coefficients 1 5 10 10 5 1 (Pascal). The coefficients are applied to 0.25^(5-r)0.75^r, where r=0 to 5: for the purposes of comparison and for drawing a histogram, the values shown are multiples of 2^-10 (1/1024): All 5 claiming to have no trouble sleeping: 1 (r=0) 4 claiming and 1 not claiming: 5*(0.25^4)(0.75)=15 (r=1) 3 claiming and 2 not claiming: 90 (r=2) 2 claiming and 3 not claiming: 270 1 claiming and 4 not claiming: 405 All not claiming: 243 The magnitude of these values can be applied to the length of blocks in a histogram. The peak is clearly (5) above. The average is 1024/5=204.8.