27500000 = 2.75 × 10----. Fill in the blanks to make the statement true

Solution:

Given, 27500000 = 2.75 × 10----.

We have to fill in the blanks to make the statement true.

Any number can be expressed as a decimal number between 1.0 and 10.0 including 1.0 multiplied by a power of 10.

Such a form of a number is called its standard form or scientific notation.

For standard form,

27500000 = 275 × 10⁵

= 2.75 × 10² × 10⁵

Considering 10² × 10⁵,

For any non-zero integers ‘a’ and ‘b’ and whole numbers m and n,

a^m × aⁿ = a^m+n

Here, a = 10, m = 2 and n = 5

m + n = 2 + 5

= 7

10² × 10⁵ = 10⁷

So, 27500000 = 2.75 × 10⁷

Therefore, the required value is 2.75 × 10⁷.

✦ Try This: 3780000 = 3.78 × 10----. Fill in the blanks to make the statement true.

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 13

NCERT Exemplar Class 7 Maths Chapter 11 Problem 38

27500000 = 2.75 × 10----. Fill in the blanks to make the statement true

Summary:

27500000 = 2.75 × 10⁷

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