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Which sign makes the statement true? $\newline$ $56 \, ? \, 5.60 \times 10^1$ $\newline$ Choices: $\newline$ (A) $>$ $\newline$ (B) $<$ $\newline$ (C) $=$

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Compare numbers written in scientific notation

Full solution

Q. Which sign makes the statement true?

\newline

56 \, ? \, 5.60 \times 10^1

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Understand the problem: Understand the problem. $\newline$ We need to compare two numbers: $56$ and $5.60 \times 10^1$ . We need to determine which mathematical sign ( $>$ , $<$ , or $=$ ) correctly represents the relationship between these two numbers.
Convert to standard form: Convert the scientific notation to standard form. $\newline$ $5.60 \times 10^1$ means that we move the decimal point in $5.60$ one place to the right because the exponent on $10$ is $1$ . $\newline$ $5.60 \times 10^1 = 56.0$
Compare the numbers: Compare the two numbers. $\newline$ Now we compare $56$ and $56.0$ . $\newline$ Since $56$ is equal to $56.0$ (the decimal point and the zero do not change the value of the number), the correct sign is ＂ $=$ ＂.

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