Solved on Jan 08, 2024

Find the relationship between hundredths, thousandths, and their corresponding units.
$1$ hundredth $=$ $\underline{\hspace{1cm}}$ $\times 1$ unit $1$ thousandth $=$ $\underline{\hspace{1cm}}$ $\times 1$ unit

STEP 1

Assumptions
1. We are working with decimal places and their corresponding fractional values.
2. "One hundredth" refers to the fraction $\frac{1}{100}$ or the decimal $0.01$ .
3. "One thousandth" refers to the fraction $\frac{1}{1000}$ or the decimal $0.001$ .
4. The phrases "times as much as" and "as much as" refer to multiplication factors.

STEP 2

To express "one hundredth" as a multiple of "one", we need to understand that "one" is equivalent to the fraction $\frac{1}{1}$ or the decimal $1.00$ .

STEP 3

Calculate the multiple that "one hundredth" is of "one".
$\frac{1}{100} = \frac{1}{1} \times \frac{1}{100}$

STEP 4

Simplify the expression to find the multiple.
$\frac{1}{100} = 1 \times \frac{1}{100} = \frac{1}{100}$

STEP 5

Since $\frac{1}{100}$ is the same as multiplying "one" by $\frac{1}{100}$ , we can fill in the first blank.
$1\ hundredth = \frac{1}{100} \times 1$

STEP 6

To express "one thousandth" as a multiple of "one", we use the same approach as in steps 2 and 3.

STEP 7

Calculate the multiple that "one thousandth" is of "one".
$\frac{1}{1000} = \frac{1}{1} \times \frac{1}{1000}$

STEP 8

Simplify the expression to find the multiple.
$\frac{1}{1000} = 1 \times \frac{1}{1000} = \frac{1}{1000}$

STEP 9

Since $\frac{1}{1000}$ is the same as multiplying "one" by $\frac{1}{1000}$ , we can fill in the second blank.
$1\ thousandth = \frac{1}{1000} \times 1$

STEP 10

Now we can complete the statements in the document with the calculated values.
1 hundredth is $\frac{1}{100}$ times as much as 1. \\ 1 thousandth is $\frac{1}{1000}$ as much as 1. \\ 1 hundredth $= \frac{1}{100} \times 1$ \\ 1 thousandth $= \frac{1}{1000} \times 1$

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Find the relationship between hundredths, thousandths, and their corresponding units.
$1$ hundredth $=$ $\underline{\hspace{1cm}}$ $\times 1$ unit $1$ thousandth $=$ $\underline{\hspace{1cm}}$ $\times 1$ unit

STEP 1

STEP 2

To express "one hundredth" as a multiple of "one", we need to understand that "one" is equivalent to the fraction $\frac{1}{1}$ or the decimal $1.00$ .

STEP 3

Calculate the multiple that "one hundredth" is of "one".
$\frac{1}{100} = \frac{1}{1} \times \frac{1}{100}$

STEP 4

Simplify the expression to find the multiple.
$\frac{1}{100} = 1 \times \frac{1}{100} = \frac{1}{100}$

STEP 5

Since $\frac{1}{100}$ is the same as multiplying "one" by $\frac{1}{100}$ , we can fill in the first blank.
$1\ hundredth = \frac{1}{100} \times 1$

STEP 6

To express "one thousandth" as a multiple of "one", we use the same approach as in steps 2 and 3.

STEP 7

Calculate the multiple that "one thousandth" is of "one".
$\frac{1}{1000} = \frac{1}{1} \times \frac{1}{1000}$

STEP 8

Simplify the expression to find the multiple.
$\frac{1}{1000} = 1 \times \frac{1}{1000} = \frac{1}{1000}$

STEP 9

Since $\frac{1}{1000}$ is the same as multiplying "one" by $\frac{1}{1000}$ , we can fill in the second blank.
$1\ thousandth = \frac{1}{1000} \times 1$

STEP 10

Now we can complete the statements in the document with the calculated values.
1 hundredth is $\frac{1}{100}$ times as much as 1. \\ 1 thousandth is $\frac{1}{1000}$ as much as 1. \\ 1 hundredth $= \frac{1}{100} \times 1$ \\ 1 thousandth $= \frac{1}{1000} \times 1$

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Find the relationship between hundredths, thousandths, and their corresponding units.111 hundredth === ‾\underline{\hspace{1cm}}​ ×1\times 1×1 unit 111 thousandth === ‾\underline{\hspace{1cm}}​ ×1\times 1×1 unit

STEP 1

STEP 2

To express "one hundredth" as a multiple of "one", we need to understand that "one" is equivalent to the fraction 11\frac{1}{1}11​ or the decimal 1.001.001.00.

STEP 3

Calculate the multiple that "one hundredth" is of "one".1100=11×1100\frac{1}{100} = \frac{1}{1} \times \frac{1}{100}1001​=11​×1001​

STEP 4

Simplify the expression to find the multiple.1100=1×1100=1100\frac{1}{100} = 1 \times \frac{1}{100} = \frac{1}{100}1001​=1×1001​=1001​

STEP 5

Since 1100\frac{1}{100}1001​ is the same as multiplying "one" by 1100\frac{1}{100}1001​, we can fill in the first blank.1 hundredth=1100×11\ hundredth = \frac{1}{100} \times 11 hundredth=1001​×1

STEP 6

To express "one thousandth" as a multiple of "one", we use the same approach as in steps 2 and 3.

STEP 7

Calculate the multiple that "one thousandth" is of "one".11000=11×11000\frac{1}{1000} = \frac{1}{1} \times \frac{1}{1000}10001​=11​×10001​

STEP 8

Simplify the expression to find the multiple.11000=1×11000=11000\frac{1}{1000} = 1 \times \frac{1}{1000} = \frac{1}{1000}10001​=1×10001​=10001​

STEP 9

Since 11000\frac{1}{1000}10001​ is the same as multiplying "one" by 11000\frac{1}{1000}10001​, we can fill in the second blank.1 thousandth=11000×11\ thousandth = \frac{1}{1000} \times 11 thousandth=10001​×1

STEP 10

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Find the relationship between hundredths, thousandths, and their corresponding units.
$1$ hundredth $=$ $\underline{\hspace{1cm}}$ $\times 1$ unit $1$ thousandth $=$ $\underline{\hspace{1cm}}$ $\times 1$ unit

To express "one hundredth" as a multiple of "one", we need to understand that "one" is equivalent to the fraction $\frac{1}{1}$ or the decimal $1.00$ .

Calculate the multiple that "one hundredth" is of "one".
$\frac{1}{100} = \frac{1}{1} \times \frac{1}{100}$

Simplify the expression to find the multiple.
$\frac{1}{100} = 1 \times \frac{1}{100} = \frac{1}{100}$

Since $\frac{1}{100}$ is the same as multiplying "one" by $\frac{1}{100}$ , we can fill in the first blank.
$1\ hundredth = \frac{1}{100} \times 1$

Calculate the multiple that "one thousandth" is of "one".
$\frac{1}{1000} = \frac{1}{1} \times \frac{1}{1000}$

Simplify the expression to find the multiple.
$\frac{1}{1000} = 1 \times \frac{1}{1000} = \frac{1}{1000}$

Since $\frac{1}{1000}$ is the same as multiplying "one" by $\frac{1}{1000}$ , we can fill in the second blank.
$1\ thousandth = \frac{1}{1000} \times 1$