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State true (T) or false (F).

The standard form for 0.000037 is $3.7 × 10 − 5$ .

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True

False

answer is A.

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Detailed Solution

It is given the standard form for 0.000037 is

3.7 × 10 − 5

.
In exponents the standard form of a number is written as a decimal number between

and

, multiplied by power of 10.
The standard form for 0.000037 is

3.7 × 10 − 5

.
Expressing the term 0.000037 in the form of fraction

⇒ 0.000037 = 00000371000000

⇒ 0.000037 = 371000000

Expressing the term in exponent form

⇒ 0.000037 = 37 10 × 105 ⇒ 0.000037 = 3.7 105

Using exponents law,

1 a m = a − m

⇒ 0.000037 = 3.7 × 10 − 5

Therefore, the standard form for

0.000037 = 3.7 × 10 − 5

which is true.
Hence option (1) is correct.

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