Question

Write the number 786, 534 in expanded notation.

Answer 1

Hint:- To write any number in expanded form change each split the number into sum of \[x\left( {{{10}^n}} \right)\] where x will be the digit and n will be the position of digit starting from rightmost digit.

Complete step-by-step answer:
Now we had to change 786, 534 into expanded notation.
Expanded notation does not change the equivalent value of the particular number. But only write the number in some different form.
So, to write the given number in expanded form we had to split it into the sum of \[x\left( {{{10}^n}} \right)\] where x will be the value of the digit and n will be the position of that digit starting from right. i.e. the value of n for the rightmost digit will be equal to 0. And its value increases by 1 for each subsequent digit.
So, 786,534 in expanded form will be written as \[7\left( {{{10}^5}} \right) + 8\left( {{{10}^4}} \right) + 6\left( {{{10}^3}} \right) + 5\left( {{{10}^2}} \right) + 3\left( {{{10}^1}} \right) + 7\left( {{{10}^0}} \right)\]
Hence, \[786534 = 7\left( {100000} \right) + 8\left( {10000} \right) + 6\left( {1000} \right) + 5\left( {100} \right) + 3\left( {10} \right) + 7\left( 1 \right)\]

Note:- Whenever we come up with this type of problem then we should remember that the equivalent value of a number in normal notation and expanded notation is the same. And expanded notation is different from statement form because in statement form we had to write the value of a given number in words (like 7896 is written as seven thousands eight hundred ninety six).