Math / Numbers & Operations

QuestionJacob knows that $\frac{1}{20}$ means " 1 divided by 20. " He uses this to find the decimal equivalent for $\frac{1}{20}$ . Enter a digit into each box to complete his work. $\square$

Studdy Solution

STEP 1

1. Jacob is trying to find the decimal equivalent of the fraction $\frac{1}{20}$ .
2. The process involves performing long division of 1 by 20.
3. The solution will involve determining the digits of the decimal representation.

STEP 2

1. Set up the division problem.
2. Perform the division to find the decimal equivalent.
3. Record the digits of the decimal.

STEP 3

Set up the division problem by writing $1$ as the dividend and $20$ as the divisor.

STEP 4

Since $1$ is less than $20$ , we need to add a decimal point and zeros to continue the division. Write $1.000...$ and place the decimal point in the quotient.

STEP 5

Determine how many times $20$ goes into $10$ . It goes $0$ times, so write $0$ in the quotient.

STEP 6

Bring down another $0$ to make it $100$ . Determine how many times $20$ goes into $100$ . It goes $5$ times, so write $5$ in the quotient.

STEP 7

Multiply $20 \times 5 = 100$ and subtract from $100$ to get a remainder of $0$ .

STEP 8

The division is complete, and the decimal equivalent of $\frac{1}{20}$ is $0.05$ .
The digit to enter in the box is:
$\boxed{0.05}$

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QuestionJacob knows that $\frac{1}{20}$ means " 1 divided by 20. " He uses this to find the decimal equivalent for $\frac{1}{20}$ . Enter a digit into each box to complete his work. $\square$

Studdy Solution

STEP 1

1. Jacob is trying to find the decimal equivalent of the fraction $\frac{1}{20}$ .
2. The process involves performing long division of 1 by 20.
3. The solution will involve determining the digits of the decimal representation.

STEP 2

1. Set up the division problem.
2. Perform the division to find the decimal equivalent.
3. Record the digits of the decimal.

STEP 3

Set up the division problem by writing $1$ as the dividend and $20$ as the divisor.

STEP 4

Since $1$ is less than $20$ , we need to add a decimal point and zeros to continue the division. Write $1.000...$ and place the decimal point in the quotient.

STEP 5

Determine how many times $20$ goes into $10$ . It goes $0$ times, so write $0$ in the quotient.

STEP 6

Bring down another $0$ to make it $100$ . Determine how many times $20$ goes into $100$ . It goes $5$ times, so write $5$ in the quotient.

STEP 7

Multiply $20 \times 5 = 100$ and subtract from $100$ to get a remainder of $0$ .

STEP 8

The division is complete, and the decimal equivalent of $\frac{1}{20}$ is $0.05$ .
The digit to enter in the box is:
$\boxed{0.05}$

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QuestionJacob knows that 120\frac{1}{20}201​ means " 1 divided by 20. " He uses this to find the decimal equivalent for 120\frac{1}{20}201​. Enter a digit into each box to complete his work. □\square□

Studdy Solution

STEP 1

1. Jacob is trying to find the decimal equivalent of the fraction 120\frac{1}{20}201​.2. The process involves performing long division of 1 by 20.3. The solution will involve determining the digits of the decimal representation.

STEP 2

1. Set up the division problem.2. Perform the division to find the decimal equivalent.3. Record the digits of the decimal.

STEP 3

Set up the division problem by writing 111 as the dividend and 202020 as the divisor.

STEP 4

Since 111 is less than 202020, we need to add a decimal point and zeros to continue the division. Write 1.000...1.000...1.000... and place the decimal point in the quotient.

STEP 5

Determine how many times 202020 goes into 101010. It goes 000 times, so write 000 in the quotient.

STEP 6

Bring down another 000 to make it 100100100. Determine how many times 202020 goes into 100100100. It goes 555 times, so write 555 in the quotient.

STEP 7

Multiply 20×5=10020 \times 5 = 10020×5=100 and subtract from 100100100 to get a remainder of 000.

STEP 8

The division is complete, and the decimal equivalent of 120\frac{1}{20}201​ is 0.050.050.05. The digit to enter in the box is:0.05\boxed{0.05}0.05​

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

QuestionJacob knows that $\frac{1}{20}$ means " 1 divided by 20. " He uses this to find the decimal equivalent for $\frac{1}{20}$ . Enter a digit into each box to complete his work. $\square$

1. Jacob is trying to find the decimal equivalent of the fraction $\frac{1}{20}$ .
2. The process involves performing long division of 1 by 20.
3. The solution will involve determining the digits of the decimal representation.

1. Set up the division problem.
2. Perform the division to find the decimal equivalent.
3. Record the digits of the decimal.

Set up the division problem by writing $1$ as the dividend and $20$ as the divisor.

Since $1$ is less than $20$ , we need to add a decimal point and zeros to continue the division. Write $1.000...$ and place the decimal point in the quotient.

Determine how many times $20$ goes into $10$ . It goes $0$ times, so write $0$ in the quotient.

Bring down another $0$ to make it $100$ . Determine how many times $20$ goes into $100$ . It goes $5$ times, so write $5$ in the quotient.

Multiply $20 \times 5 = 100$ and subtract from $100$ to get a remainder of $0$ .

The division is complete, and the decimal equivalent of $\frac{1}{20}$ is $0.05$ .
The digit to enter in the box is:
$\boxed{0.05}$