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Chapter 5: Problem 137

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. \(534.7=5.347 \times 10^{3}\)

Short Answer

Expert verified
The statement that \(534.7=5.347 \times 10^{3}\) is false. The correct representation in scientific notation is \(534.7 = 5.347 \times 10^{2}\).

Step by step solution

01

Understanding Scientific Notation

Understand that scientific notation is a way of expressing numbers that are too big or too small to be conveniently written in decimal form. It is basically a product of a number between 1 and 10 and a power of 10.
02

Evaluate the Given Statement

Evaluate whether the scientific notation \(5.347 \times 10^{3}\) is a correct representation for the number 534.7. However, \(5.347 \times 10^{3}\) is equal to 5347 not 534.7. So the given statement is false.
03

Make Necessary Changes for a True Statement

To make the statement true, the number should be represented as \(5.347 \times 10^{2}\), because \(5.347 \times 10^{2}\) will give the correct number 534.7.

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Most popular questions from this chapter

Write the first six terms of the geometric sequence with the first term, \(a_{1}\), and common ratio, \(r\). \(a_{1}=\frac{1}{2}, r=2\)

Write a formula for the general term (the nth term) of each geometric sequence. Then use the formula for \(a_{n}\) to find \(a_{7}\), the seventh term of the sequence. \(0.0004,-0.004,0.04,-0.4, \ldots\)

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Determine whether each statement makes sense or does not make sense, and explain your reasoning. There's no end to the number of geometric sequences that I can generate whose first term is 5 if I pick nonzero numbers \(r\) and multiply 5 by each value of \(r\) repeatedly.

Write the first six terms of the geometric sequence with the first term, \(a_{1}\), and common ratio, \(r\). \(a_{1}=-2, r=-3\)
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