Which sign makes the statement true? 5.763 × 10^2 ? 5.73 × 10^3 Choices: (A)> (B)< (C)=

Identify Exponents: We have: 5.763 × 10^2 and 5.73 × 10^3 Are the exponents the same or different? Exponents are 2 and 3. Both exponents are different.Compare Exponents: Exponents are different. 5.763 × 10^2 ____ 5.73 × 10^3 Which sign makes the statement true? Compare the exponents because they are different. 2 < 3 This means that 5.763 × 10^2 is less than 5.73 × 10^3 because the exponent on the 10 is larger in the second expression, indicating it is a larger number.Convert to Standard Form: Convert both numbers to their standard form to confirm. 5.763 × 10^2 = 576.3 5.73 × 10^3 = 5730 Now compare the numbers in standard form. 576.3 < 5730

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Which sign makes the statement true? $\newline$ $5.763 \times 10^2$ _____ $5.73 \times 10^3$

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Math Problems

Algebra 1

Compare numbers written in scientific notation

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Q. Which sign makes the statement true?

\newline

5.763 \times 10^2

_____

5.73 \times 10^3

Identify Exponents: We have: $\newline$ $5.763 \times 10^2$ and $5.73 \times 10^3$ $\newline$ Are the exponents the same or different? $\newline$ Exponents are $2$ and $3$ . $\newline$ Both exponents are different.
Compare Exponents: Exponents are different. $\newline$ $5.763 \times 10^2$ ____ $5.73 \times 10^3$ $\newline$ Which sign makes the statement true? $\newline$ Compare the exponents because they are different. $\newline$ 2 < 3 $\newline$ This means that $5.763 \times 10^2$ is less than $5.73 \times 10^3$ because the exponent on the $10$ is larger in the second expression, indicating it is a larger number.
Convert to Standard Form: Convert both numbers to their standard form to confirm. $\newline$ $5.763 \times 10^2 = 576.3$ $\newline$ $5.73 \times 10^3 = 5730$ $\newline$ Now compare the numbers in standard form. $\newline$ 576.3 < 5730