ValkyrieR
Answered

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Express the number below in standard notation.

[tex]\[ 7.77 \times 10^{-4} \][/tex]

Sagot :

GinnyAnswer
To convert the number [tex]\(7.77 \times 10^{-4}\)[/tex] to standard notation, follow these steps:

1. Understand the scientific notation:
- The coefficient is [tex]\(7.77\)[/tex].
- The exponent is [tex]\(-4\)[/tex], indicating that the decimal point should be moved 4 places to the left.

2. Move the decimal point:
- Start with the number [tex]\(7.77\)[/tex].
- Moving the decimal point 4 places to the left, you insert zeros as needed.

Here’s the detailed movement:
- Original number: 7.77
- Move the decimal point one place to the left: 0.777
- Move the decimal point another place to the left: 0.0777
- Move the decimal point a third place to the left: 0.00777
- Move the decimal point a fourth place to the left: 0.000777

3. Write the result:
- After moving the decimal point 4 places to the left, the number in standard notation is [tex]\(0.000777\)[/tex].

Thus, the number [tex]\(7.77 \times 10^{-4}\)[/tex] in standard notation is [tex]\(0.000777\)[/tex].
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