Which sign makes the statement true? 1.10 × 10^4 ? 1.1 × 10^4 Choices: (A)> (B)< (C)=

Base Numbers Comparison: We have 1.10 × 10^4 and 1.1 × 10^4. Are the base numbers the same or different? Base numbers are 1.10 and 1.1. Both base numbers are essentially the same, as 1.10 is equal to 1.1 when considering significant figures.Exponents Comparison: Since the base numbers are the same, we can compare the exponents directly. Both expressions have the same exponent, which is 4. 10^4 = 10^4Final Equality: Because both the base numbers and the exponents are the same, the two expressions are equal. 1.10 × 10^4 = 1.1 × 10^4

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Which sign makes the statement true? $\newline$ $1.10 \times 10^{4}$ $?$ $1.1 \times 10^{4}$ $\newline$ Choices: $\newline$ (A) > $\newline$ (B) < $\newline$ (C) $=$ $\newline$

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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

1.10 \times 10^{4}

?

1.1 \times 10^{4}

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

\newline

Base Numbers Comparison: We have $1.10 \times 10^4$ and $1.1 \times 10^4$ . $\newline$ Are the base numbers the same or different? $\newline$ Base numbers are $1.10$ and $1.1$ . $\newline$ Both base numbers are essentially the same, as $1.10$ is equal to $1.1$ when considering significant figures.
Exponents Comparison: Since the base numbers are the same, we can compare the exponents directly. Both expressions have the same exponent, which is $4$ . $10^4 = 10^4$
Final Equality: Because both the base numbers and the exponents are the same, the two expressions are equal. $\newline$ $1.10 \times 10^4 = 1.1 \times 10^4$