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Solve for x:
[tex]\[ 3x = 6x - 2 \][/tex]



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09. The order of magnitude of the number 1013 is:
(1) 1
(3) 3
(4) 4
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Response:
What is the order of magnitude of the number [tex]\(10^{13}\)[/tex]?

1. 1
2. 3
3. 13
4. 4

Sagot :

GinnyAnsweridn
To determine the order of magnitude of the number 1013, we want to find the exponent when the number is expressed in scientific notation, specifically as a power of 10.

1. The order of magnitude of a number is the power of 10 when the number is expressed in scientific notation. For example, 100 can be expressed as [tex]\(10^2\)[/tex], and hence its order of magnitude is 2.

2. For the number 1013, it falls between [tex]\( 10^3 \)[/tex] and [tex]\( 10^4 \)[/tex] because:
- [tex]\( 10^3 \)[/tex] is 1000
- [tex]\( 10^4 \)[/tex] is 10000

3. Since 1013 is much closer to 1000 than 10000, we observe that it is just slightly more than [tex]\( 10^3 \)[/tex].

4. Thus, the appropriate exponent that best represents 1013 when approximated using powers of 10 is 3.

Therefore, the order of magnitude of the number 1013 is:
(2) 3
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