Problem 547 Round each number to the nearest... [FREE SOLUTION]

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Chapter 1: Problem 547

Round each number to the nearest tenth. $$ 0.67 $$

Short Answer

Expert verified

The number 0.67 rounded to the nearest tenth is 0.7.

Step by step solution

- Identify the tenths place

Look at the number 0.67. The tenths place is the first digit after the decimal point, which is 6.

- Identify the hundredths place

The hundredths place is the second digit after the decimal point, which is 7.

- Determine if rounding is needed

Since the hundredths place is 7, which is greater than or equal to 5, we need to round up.

- Round the tenths place

Increase the tenths place by 1. Thus, 6 becomes 7.

- Write the final rounded number

After rounding, the number 0.67 becomes 0.7.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Tenths Place

When rounding numbers, understanding the tenths place is crucial. The tenths place is the first digit right after the decimal point. For example, in the number 0.67, the digit 6 is in the tenths place. To visualize, think of each digit's place value as a specific position. This position helps in determining how to modify the number based on rounding rules. Properly identifying the tenths place is the first step in the rounding process.

Hundredths Place

Next, the hundredths place plays a pivotal role in rounding. This is the second digit following the decimal point. In our example number 0.67, the digit 7 occupies the hundredths place. The significance of the hundredths place arises because it guides you in deciding whether to round up or keep the tenths value the same. Essentially, if the hundredths place has a value of 5 or more, rounding up will be required.

Rounding Rules

Rounding rules are simple but essential to follow for accuracy. When rounding to the nearest tenth, observe the hundredths place:

If the digit in the hundredths place is 5 or more, increase the tenths place by 1.
If the digit is less than 5, leave the tenths place as it is.

Applying these rules to 0.67, the hundredths place is 7 (greater than 5), prompting us to increase the tenths place 6 to 7. Thus, rounding 0.67 results in 0.7. Understanding and correctly applying these rules ensures precision in rounding numbers.

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91影视

Round each number to the nearest tenth. $$ 0.67 $$

Short Answer

Step by step solution

- Identify the tenths place

- Identify the hundredths place

- Determine if rounding is needed

- Round the tenths place

- Write the final rounded number

Key Concepts

Tenths Place

Hundredths Place

Rounding Rules

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