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QuestionSelect all equivalent forms for the number: Five thousand twenty-four and ninety-five hundredths. (A) 5,024.955,024.95 (B) 5,240.955,240.95 (C) 5,000+20+4+0.9+0.055,000+20+4+0.9+0.05 (D) (5×1,000)+(2×10)+(4×1)+(9×110)+(5×1100)(5 \times 1,000)+(2 \times 10)+(4 \times 1)+(9 \times \frac{1}{10})+(5 \times \frac{1}{100}) (E) (5×1,000)+(2×100)+(4×1)+(95×11,000)(5 \times 1,000)+(2 \times 100)+(4 \times 1)+(95 \times \frac{1}{1,000})

Studdy Solution

STEP 1

Assumptions1. The number given in word form is "Five thousand twenty-four and ninety-five hundredths" . We need to find the equivalent forms of this number from the given choices

STEP 2

First, let's convert the word form into a decimal number. "Five thousand twenty-four" is 5,0245,024 and "ninety-five hundredths" is 0.950.95. So, the number is 5,024.955,024.95.

STEP 3

Now, let's check each choice to see if it is equivalent to 5,024.955,024.95.
(A) 5,024.955,024.95This is the same as our number, so (A) is correct.

STEP 4

(B) ,240.95,240.95
This is not the same as our number, so (B) is not correct.

STEP 5

(C) 5,000+20+4+0.9+0.055,000+20+4+0.9+0.05
Add these numbers together to see if they equal our number.
5,000+20+4+0.9+0.05=5,024.955,000+20+4+0.9+0.05 =5,024.95So, (C) is correct.

STEP 6

(D) (5×1,000)+(2×10)+(4×1)+(9×110)+(5×1100)\begin{array}{l} (5 \times1,000)+(2 \times10)+(4 \times1) \\ +\left(9 \times \frac{1}{10}\right)+\left(5 \times \frac{1}{100}\right) \end{array} Multiply and add these numbers together to see if they equal our number.
(5×1,000)+(2×10)+(4×1)+(9×110)+(5×1100)=5,024.95\begin{array}{l} (5 \times1,000)+(2 \times10)+(4 \times1) \\ +\left(9 \times \frac{1}{10}\right)+\left(5 \times \frac{1}{100}\right) =5,024.95\end{array} So, () is correct.

STEP 7

(E) (5×1,000)+(2×100)+(4×1)+(95×11,000)\begin{aligned} & (5 \times1,000)+(2 \times100)+(4 \times1) \\ + & \left(95 \times \frac{1}{1,000}\right) \end{aligned} Multiply and add these numbers together to see if they equal our number.
(5×1,000)+(2×100)+(4×1)+(95×11,000)=5,204.095\begin{aligned} & (5 \times1,000)+(2 \times100)+(4 \times1) \\ + & \left(95 \times \frac{1}{1,000}\right) =5,204.095\end{aligned} This is not the same as our number, so () is not correct.
So, the choices that are equivalent to "Five thousand twenty-four and ninety-five hundredths" are (A), (C), and ().

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