Question

write the statement in words, and determine whether it is true or false.

(3.8 \ge 3.80)

write the statement in words. choose the correct answer below.

a. three and eight-hundredths is less than three and eighty-hundredths.
b. three and eight-tenths is less than or equal to three and eighty-thousandths.
c. three and eight-tenths is greater than or equal to three and eighty-hundredths.
d. three and eight-thousandths is greater than three and eighty-hundredths.

Explanation:

Translate the mathematical statement into words

The given statement is:

$$ 3.8 \ge 3.80 $$

• \(3.8\) is written in words as "three and eight-tenths".
• The symbol \(\ge\) means "is greater than or equal to".
• \(3.80\) is written in words as "three and eighty-hundredths".

Combining these parts, the statement in words is:
"Three and eight-tenths is greater than or equal to three and eighty-hundredths."

Match with the multiple-choice options

• Option A: "Three and eight-hundredths is less than..." (Incorrect translation of \(3.8\) and \(\ge\))
• Option B: "Three and eight-tenths is less than or equal to..." (Incorrect translation of \(\ge\))
• Option C: "Three and eight-tenths is greater than or equal to three and eighty-hundredths." (Correct translation)
• Option D: "Three and eight-thousandths is greater than..." (Incorrect translation of \(3.8\))

Answer:

• (A) Three and eight-hundredths is less than three and eighty-hundredths.
• (B) Three and eight-tenths is less than or equal to three and eighty-thousandths.
• (C) Three and eight-tenths is greater than or equal to three and eighty-hundredths. (Correct answer)
• (D) Three and eight-thousandths is greater than three and eighty-hundredths.