Question

Ted says that 3 tenths multiplied by 100 equal 300 thousandths. Is he correct? Use place value chart to explain your answer.

Answer 1

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.

Learn more:

1. Write an algebraic expression for the following word phrase the quotient of r and 12 brainly.com/question/1600376

2. A given line has the equation 10x+2y=−2. what is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0,12)?y=()x+12 brainly.com/question/1473992

3. What is the value of the digit 4 in the number 84230 brainly.com/question/106975

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Decimal system

Keywords: Hundredth, hundred, place value chart, chart tenths, decimal places, thousandths, simplify, multiply.

Answer 2

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.