Mathematical basics 2

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Understanding mathematical concepts

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Mphuthi Quinton

South Africa

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Mathematical basics 2


Mathematical basics 2Online version Understanding mathematical concepts by Mphuthi Quinton 1 When we add or multiply two or more numbers the order doesn't matter Choose one or more answers a Commutative property b Distributive property c Associative property d 2 When we multiply or add three or more numbers it doesnt matter which numbers we added first or multiplied first Choose one or more answers a Associative property b Distributive property c Commutative property 3 When we multiply a number by the sum of two or more numbers, we get the same results as we get as if we multipled each number in the parenthesis and add the results a Associative property b Distributive property c Commutative property 4 Number 0 is special for addition that is given a name..... because a+0=a for any given number. a Additive identity b Multiplicative identity c Point of origin 5 Number 1 is regarded as.... because any real number mutliplied by 1 is equal to itself a Multiplicative identity b Additive identity c Point of origin 6 Is a randomly choosen as a point of origin which correspond to a 1 b 10 c 0 7 Each positive number x is represented by the point on the number line that is distance x units to the a Left b Upwards c right 8 Each negative number x is represented by the point on the number line that is distance x units to the a Left b Upwards c Right 9 Is a way of describing how far a number is from zero on the number line without worrying about direction. a Commutative property b Absolute values c Division identity 10 If "a" is a postive number or equal to zero then a \|a\|=a b \|-a\|=a c \|a\|=-a 11 If "a" is a negative number then a \|-a\|=a b \|a\|=-a c \|a-a\|=0 12 A number and its negative have the same absolute value a \|a\|=\|-a\| b \|a\|>\|-a\| c \|a\|=0 13 The product of absolute values is the absolute values product a \|a\|\|b\|=\|a×b\| b \|a\|\|b\|=0 c 0 14 The absolute value of a qoutient is the qoutient of the absolute values a \|a÷b\|=\|a\|÷\|b\| b Point 1 c \|a:b\| 15 On a real number line the distance from a to b is the same as b to a distance represent it mathematically a d(a, b) =\|a-b\| or \|b-a\| b \|a-b\| or \|b-a\| c d(a, b) =\|a-b\| 16 If you add two or more numbers together and take the absolute value of the results, it will never be more than the sum of individual of individual absolute values a Additive identity b Triangle inequality c Commutative property 17 Represent the triangle inequality mathematically a \|a+b\| < or = \|a\| +\|b\| b \|a+b\| = \|a\| +\|b\| c \|a+b\| < \|a\| +\|b\| 18 Imagine if you walk 6 steps forward on the number line from 0 origin and then walk 4 steps backwards towards the 0 origin your displacement is represented by which side of the absolute value a \|a+b\| b \|a\|+\|a\| 19 Imagine if you walk 6 steps forward on the number line from 0 origin and then walk 4 steps backwards towards the 0 origin your distance is represented by which side of the absolute value a \|a+b\| b \|a\|+\|b\| 20 In terms of a triangle shape: Triangle inquality explains that a Going along to side to reach the same position is never shorter than going straight across b Going along to side to reach the different position is never shorter than going straight across c \|a\|=b

Mathematical basics 2

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Mathematical basics 2Online version

by Mphuthi Quinton

When we add or multiply two or more numbers the order doesn't matter

When we multiply or add three or more numbers it doesnt matter which numbers we added first or multiplied first

When we multiply a number by the sum of two or more numbers, we get the same results as we get as if we multipled each number in the parenthesis and add the results

Number 0 is special for addition that is given a name..... because a+0=a for any given number.

Number 1 is regarded as.... because any real number mutliplied by 1 is equal to itself

Is a randomly choosen as a point of origin which correspond to

Each positive number x is represented by the point on the number line that is distance x units to the

Each negative number x is represented by the point on the number line that is distance x units to the

Is a way of describing how far a number is from zero on the number line without worrying about direction.

If "a" is a postive number or equal to zero then

If "a" is a negative number then

A number and its negative have the same absolute value

The product of absolute values is the absolute values product

The absolute value of a qoutient is the qoutient of the absolute values

On a real number line the distance from a to b is the same as b to a distance represent it mathematically

If you add two or more numbers together and take the absolute value of the results, it will never be more than the sum of individual of individual absolute values

Represent the triangle inequality mathematically

Imagine if you walk 6 steps forward on the number line from 0 origin and then walk 4 steps backwards towards the 0 origin your displacement is represented by which side of the absolute value

Imagine if you walk 6 steps forward on the number line from 0 origin and then walk 4 steps backwards towards the 0 origin your distance is represented by which side of the absolute value

In terms of a triangle shape: Triangle inquality explains that