Given -
50 times 4 =200
Find out the values of 500 times 400.
To prove
As given in the question
50 times 4 =200
i.e the above also written in the form as follows.
50 × 4 = 200
Now find out for 500 times 400.
500 times 400 is also written in the form as follows .
500 × 400 = 200000
Therefore the 500 times 400 is 200000.
Hence proved
To find 500 times 400 from 50 times 4 =200 : use commutative, associative properties and place value
500 times 400 [tex]\large{\boxed{\bold{=200000}}}[/tex]
There are 3 properties in arithmetic operations that can be applied to arithmetic operations, namely: commutative, associative , and distributive properties
Commutative properties are mathematical operations of two numbers that are exchanged and produce the same results
a + b = b + a = c
a x b = b x a = c
this property applies to addition and multiplication operations.
Associative properties are mathematical operations of 3 numbers by grouping 2 numbers with parentheses and the location of the grouping is exchanged with the result that remains the same
(a + b) + c = a + (b + c) = d
(a × b) × c = a × (b × c) = d
Distributive properties are mathematical operations with 2 different arithmetic operations, by distributing numbers grouped in parentheses.
a × (b + c) = (a × b) + (a × c) = d
In the digit system, the value of a number depends on its place, or position, in the number.
Each digit is different place value.
the place value of the digits in a number: hundred thousands, ten thousands, one thousands, hundreds, tens, ones, decimal points, tenths, hundredths, thousandths, ten thousandths, hundred thousandths
From the task:
use the previous problem (50 times 4 = 200) to help solve 500 times 400.
50 times 4 = 200
in the form of arithmetic operations
50 x 4 = 200
or in place value
5 tens x 4 ones = 2 hundreds
we can use associative and commutative properties
[tex](5\times10)\times4=200[/tex]
[tex](5\times4)\times10=200[/tex]
[tex]=20\times10=200[/tex]
so multiplication can be expressed in an interchangeable form because it has the same value
So to complete 500 x 400:
multiplying the whole numbers first then the zeros
The difference between first number operations and second number operations is the place value unit
500 x 400
= 5 hundreds x 4 hundreds
= 5 x100 x 4 x 100 (there are 4 times of 10)
= (5 x 4 x 10) x 10 x 10 x 10
⇒ (5 x 4 x 10) = from previous problem
= 200 x 10 x 10 x 10
[tex]\large{\boxed{\bold{=200000}}}[/tex]
the place value: 12,354,897
https://brainly.com/question/559183
https://brainly.com/question/840500
place-value patterns
https://brainly.com/question/98364
Keywords : place value, digit, number, times , commutative, associative
