Question

express 67000 in standard form
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Answer 1

67000 in standard form is 6.7 × 10⁴

Given :

The number 67000

To find :

To express in standard form

Concept :

For any given number Standard form is a way to express the number .

It is generally used to express a large or a small number

The standard form of any given number is

$\sf = m\times {10}^{n}$

Where m is a number such that 1 ≤ m < 10 and n is the exponent of 10

Solution :

Step 1 of 2 :

Write down the given number

Here the given number is 67000

Step 2 of 2 :

Express in standard form

$\displaystyle \sf{ 67000 }$

$\displaystyle \sf{ = 67 \times 1000 }$

$\displaystyle \sf{ = 67 \times {10}^{3} }$

$\displaystyle \sf{ = 6.7 \times 10\times {10}^{3} }$

$\displaystyle \sf{ = 6.7 \times {10}^{1} \times {10}^{3} }$

$\displaystyle \sf{ = 6.7 \times {10}^{1 + 3} }$

$\displaystyle \sf{ = 6.7 \times {10}^{4} }$