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3 years ago

Factor completely and then place the factors in the proper location on the grid. 36x 2 + 60x + 25

1 answer:

8 0

(6x + 5)^2 should be the completley factored form

(6x+5)(6x+5)

6x^2 is 36x^2
6x(5) is 30x times 2 (since it happens twice) and its 60x
5 times 5 is 25

so you have 36x^2 + 60x + 25

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

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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.

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