Math / Numbers & Operations

Question3. One gallon is equal to about 3.785 liters. What is this amount rounded to the nearest tenth? to the nearest hundredth? Show your work.
Solution Look at problem 3. What is the greatest number of whole liters of water you coul pour into a one-gallon container without it overflowing? Explain your answer.

Studdy Solution

STEP 1

1. One gallon is approximately equal to $3.785$ liters.
2. We need to round this value to the nearest tenth and the nearest hundredth.
3. We need to determine the greatest number of whole liters that can fit into a one-gallon container without overflowing.

STEP 2

1. Round to the nearest tenth.
2. Round to the nearest hundredth.
3. Determine the greatest number of whole liters.

STEP 3

To round $3.785$ to the nearest tenth, identify the tenths and hundredths digits. The tenths digit is $7$ and the hundredths digit is $8$ .

STEP 4

Since the hundredths digit $8$ is greater than or equal to $5$ , round up the tenths digit from $7$ to $8$ .
$3.785 \approx 3.8$

STEP 5

To round $3.785$ to the nearest hundredth, identify the hundredths and thousandths digits. The hundredths digit is $8$ and the thousandths digit is $5$ .

STEP 6

Since the thousandths digit $5$ is greater than or equal to $5$ , round up the hundredths digit from $8$ to $9$ .
$3.785 \approx 3.79$

STEP 7

To determine the greatest number of whole liters that can fit into a one-gallon container without overflowing, consider the integer part of the gallon-to-liter conversion.

STEP 8

Since $3.785$ liters is the equivalent of one gallon, the greatest whole number of liters that can fit is $3$ liters, because $4$ liters would exceed the gallon capacity.
The rounded values are: - To the nearest tenth: $\boxed{3.8}$ - To the nearest hundredth: $\boxed{3.79}$
The greatest number of whole liters that can fit into a one-gallon container without overflowing is $\boxed{3}$ liters.

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Studdy Solution

STEP 1

1. One gallon is approximately equal to $3.785$ liters.
2. We need to round this value to the nearest tenth and the nearest hundredth.
3. We need to determine the greatest number of whole liters that can fit into a one-gallon container without overflowing.

STEP 2

1. Round to the nearest tenth.
2. Round to the nearest hundredth.
3. Determine the greatest number of whole liters.

STEP 3

To round $3.785$ to the nearest tenth, identify the tenths and hundredths digits. The tenths digit is $7$ and the hundredths digit is $8$ .

STEP 4

Since the hundredths digit $8$ is greater than or equal to $5$ , round up the tenths digit from $7$ to $8$ .
$3.785 \approx 3.8$

STEP 5

To round $3.785$ to the nearest hundredth, identify the hundredths and thousandths digits. The hundredths digit is $8$ and the thousandths digit is $5$ .

STEP 6

Since the thousandths digit $5$ is greater than or equal to $5$ , round up the hundredths digit from $8$ to $9$ .
$3.785 \approx 3.79$

STEP 7

To determine the greatest number of whole liters that can fit into a one-gallon container without overflowing, consider the integer part of the gallon-to-liter conversion.

STEP 8

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Studdy Solution

STEP 1

1. One gallon is approximately equal to 3.785 3.785 3.785 liters.2. We need to round this value to the nearest tenth and the nearest hundredth.3. We need to determine the greatest number of whole liters that can fit into a one-gallon container without overflowing.

STEP 2

1. Round to the nearest tenth.2. Round to the nearest hundredth.3. Determine the greatest number of whole liters.

STEP 3

To round 3.785 3.785 3.785 to the nearest tenth, identify the tenths and hundredths digits. The tenths digit is 7 7 7 and the hundredths digit is 8 8 8.

STEP 4

Since the hundredths digit 8 8 8 is greater than or equal to 5 5 5, round up the tenths digit from 7 7 7 to 8 8 8.3.785≈3.8 3.785 \approx 3.8 3.785≈3.8

STEP 5

To round 3.785 3.785 3.785 to the nearest hundredth, identify the hundredths and thousandths digits. The hundredths digit is 8 8 8 and the thousandths digit is 5 5 5.

STEP 6

Since the thousandths digit 5 5 5 is greater than or equal to 5 5 5, round up the hundredths digit from 8 8 8 to 9 9 9.3.785≈3.79 3.785 \approx 3.79 3.785≈3.79

STEP 7

To determine the greatest number of whole liters that can fit into a one-gallon container without overflowing, consider the integer part of the gallon-to-liter conversion.

STEP 8

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Start learning now

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

1. One gallon is approximately equal to $3.785$ liters.
2. We need to round this value to the nearest tenth and the nearest hundredth.
3. We need to determine the greatest number of whole liters that can fit into a one-gallon container without overflowing.

1. Round to the nearest tenth.
2. Round to the nearest hundredth.
3. Determine the greatest number of whole liters.

To round $3.785$ to the nearest tenth, identify the tenths and hundredths digits. The tenths digit is $7$ and the hundredths digit is $8$ .

Since the hundredths digit $8$ is greater than or equal to $5$ , round up the tenths digit from $7$ to $8$ .
$3.785 \approx 3.8$

To round $3.785$ to the nearest hundredth, identify the hundredths and thousandths digits. The hundredths digit is $8$ and the thousandths digit is $5$ .

Since the thousandths digit $5$ is greater than or equal to $5$ , round up the hundredths digit from $8$ to $9$ .
$3.785 \approx 3.79$