Which sign makes the statement true? 4.22 × 10^5 ? 420,000 Choices: (A)> (B)< (C)=

Write Numbers in Format: Write down the two numbers in the same format to compare them easily. 4.22 × 10^5 is already in scientific notation. 420,000 can be written in scientific notation as 4.2 × 10^5.Compare Coefficients: Compare the coefficients of the two numbers in scientific notation. The coefficient of 4.22 × 10^5 is 4.22. The coefficient of 4.2 × 10^5 is 4.2. Since 4.22 is greater than 4.2, we can say that 4.22 × 10^5 is greater than 4.2 × 10^5.Determine Relationship: Since both numbers have the same exponent (10^5), the comparison of the coefficients is sufficient to determine the relationship between the two numbers. Therefore, 4.22 × 10^5 > 420,000.

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Which sign makes the statement true? $\newline$ $4.22 \times 10^5$ $\text{?}$ $420,000$ $\newline$ 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

4.22 \times 10^5

\text{?}

420,000

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Write Numbers in Format: Write down the two numbers in the same format to compare them easily. $\newline$ $4.22 \times 10^5$ is already in scientific notation. $\newline$ $420,000$ can be written in scientific notation as $4.2 \times 10^5$ .
Compare Coefficients: Compare the coefficients of the two numbers in scientific notation. $\newline$ The coefficient of $4.22 \times 10^5$ is $4.22$ . $\newline$ The coefficient of $4.2 \times 10^5$ is $4.2$ . $\newline$ Since $4.22$ is greater than $4.2$ , we can say that $4.22 \times 10^5$ is greater than $4.2 \times 10^5$ .
Determine Relationship: Since both numbers have the same exponent ( $10^5$ ), the comparison of the coefficients is sufficient to determine the relationship between the two numbers. $\newline$ Therefore, 4.22 \times 10^5 > 420,000.