Verified Answer :
multiplying three tenths (0.3) by 100 involves moving the decimal point to the right by two places, making the answer 30. incidentally, simplifying 300/1000 makes 3/10.
No, Ted is not correct because 3 tenths multiplied by 100 equal to 30 not 300 thousandths.
Further explanation:
According to Ted 3 tenths multiplied by 100 equal 300 thousandths.
From place value chart, 3 tenths is written as follows:
\(3\,\,{\text{tenths}}=3\times\left({0.1}\right)\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\left({{\text{tenth}}=0.1}\right)\)
This is further simplified to 0.3.
Now, multiply 3 tenths to 100 as shown below:
\(\begin{aligned}\left({3\,\,{\text{tenths}}}\right)\times100&=\left({0.3}\right)\times100\\&=30\\\end{aligned}\)
From the above calculation, the value of 3 tenths multiplied by 100 equals to 30.
Now, find the simplified value of Ted’s proposed answer which is 300 thousandths by the use of place value chart.
\(\begin{aligned}300\,\,{\text{thousandths}}&=3\times\left({0.001}\right)\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\left({{\text{thousandths}}=0.001}\right)\\&=0.003\\\end{aligned}\)
The answer suggest by Ted is wrong as it does not match the correct answer which is 30.
Thus, Ted is not correct because 3 tenths multiplied by 100 equal to 30 not 300 thousandths.
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Answer details:
Grade: Middle School
Subject: Mathematics
Chapter: Decimal system
Keywords: Hundredth, hundred, place value chart, chart tenths, decimal places, thousandths, simplify, multiply.