Answer

Verified

453.9k+ views

**Hint:**Identify the position of the digits in each given numbers. Then, break the number with respect to its position in the number. Simplify the expression and hence we will get the number as the sum of the values of its digits, which is the expanded form.

**Complete step by step solution:**The expanded form of the number is the method to write the values of each digit of the number such that on the addition of those values, we get the initial number back.

There is place value corresponding to each digit which depends on the position of that digit in the given number.

Let us first write the number 67586412 in the place value table.

Crores | Ten-lakhs | Lakhs | Ten-Thousand | Thousand | Hundreds | Tens | Ones |

6 | 7 | 5 | 8 | 6 | 4 | 1 | 2 |

Now, break up the number according to its position in the number.

Therefore, $67586412 = 6 \times 1,00,00,000 + 7 \times 10,00,000 + 5 \times 1,00,000 + 8 \times 10,000 + 6 \times 1,000 + 4 \times 100 + 1 \times 10 + 2 \times 1$

which can be further simplified as,

$67586412 = 6,00,00,000 + 70,00,000 + 5,00,000 + 80,000 + 6,000 + 400 + 10 + 2$

Hence, the expanded forms of 67586412 is $6,00,00,000 + 70,00,000 + 5,00,000 + 80,000 + 6,000 + 400 + 10 + 2$

Similarly, we will find the expanded form of 1234800007

On writing the digits of the number 1234800007 in the place value table, we get,

Hundred- crores | Ten - crores | Crores | Ten-lakhs | Lakhs | Ten-Thousand | Thousand | Hundreds |

1 | 2 | 3 | 4 | 8 | 0 | 0 | 0 |

Now, break up the number according to its position in the number.

$

1234800007 = 1 \times 1,00,00,00,000 + 2 \times 10,00,00,000 + 3 \times 1,00,00,000 + 4 \times 10,00,000 + \\

8 \times 1,00,000 + 0 \times 10,000 + 0 \times 1,000 + 0 \times 100 + 0 \times 10 + 7 \times 1 \\

$

The above expression can also be written as,

$1234800007 = 1,00,00,00,000 + 20,00,00,000 + 3,00,00,000 + 40,00,000 + 8,00,000 + 0 + 0 + 0 + 0 + 7$

Thus, the expanded forms of 1234800007 is $1,00,00,00,000 + 20,00,00,000 + 3,00,00,000 + 40,00,000 + 8,00,000 + 0 + 0 + 0 + 0 + 7$

**Note:**As we move from left to right in a number, the value of digits decreases by a factor of 10 for each place. Also, we can write the number if its expanded form is given by simply adding the numbers.

Recently Updated Pages

what is the correct chronological order of the following class 10 social science CBSE

Which of the following was not the actual cause for class 10 social science CBSE

Which of the following statements is not correct A class 10 social science CBSE

Which of the following leaders was not present in the class 10 social science CBSE

Garampani Sanctuary is located at A Diphu Assam B Gangtok class 10 social science CBSE

Which one of the following places is not covered by class 10 social science CBSE

Trending doubts

How do you graph the function fx 4x class 9 maths CBSE

Which are the Top 10 Largest Countries of the World?

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Difference Between Plant Cell and Animal Cell

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

1 ton equals to A 100 kg B 1000 kg C 10 kg D 10000 class 11 physics CBSE

In Indian rupees 1 trillion is equal to how many c class 8 maths CBSE

The largest tea producing country in the world is A class 10 social science CBSE

One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

Students Also Read