Which sign makes the statement true? 56 ? 5.60 × 10^1 Choices: (A)> (B)< (C)=

Understand the problem: Understand the problem. We need to compare two numbers: 56 and 5.60 × 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. 5.60 × 10^1 means that we move the decimal point in 5.60 one place to the right because the exponent on 10 is 1. 5.60 × 10^1 = 56.0Compare the numbers: Compare the two numbers. Now we compare 56 and 56.0. 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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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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Math Problems

Grade 8

Compare numbers written in scientific notation

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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 ＂ $=$ ＂.