340900000 = 3.409 × 10----. Fill in the blanks to make the statement true

Solution:

Given, 340900000 = 3.409 × 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,

340900000 = 3409 × 10⁵

= 3.409 × 10³ × 10⁵

Considering 10⁵ × 10³,

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

a^m × aⁿ = a^m+n

Here, a = 10, m = 5 and n = 3

m + n = 5 + 3

= 8

10⁵ × 10³ = 10⁸

So, 340900000 = 3.409 × 10⁸

Therefore, the required value is 3.409 × 10⁸.

✦ Try This: 555500000 = 5.555 × 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 39

340900000 = 3.409 × 10----. Fill in the blanks to make the statement true

Summary:

304900000 = 3.409 × 10⁸

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