Write 8.54 x 103 in standard notation

Mathematics

1 answer:

svetoff [14.1K]2 years ago

8 0

8.54 x 10^3 =
8.54 x 1,000 =
8,540

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"The sum of 4 and a number, divided by 2 is less than -6."

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Answer:

$\frac{4+n}{2} < -6$ , n < -16

Step-by-step explanation:

To write this into an inequality you need to recognize keywords. The first keyword is "sum" this means the two numbers must be added; so the first part of the inequality is 4+n. Then, it says the sum is "divided by" 2; this means both numbers must be put over two like $\frac{4+n}{2}$ . Finally, this is "less than" negative. Therefore, this must be an inequality with a sign opening towards -6. So the final answer is $\frac{4+n}{2} < -6$ .

To solve the inequality isolate the variable. Multiply both sides by 2, so the new inequality is $4+n$ . Next, subtract 4 from both sides. The answer is n < -16.