Problem 24 Round each decimal to the specif... [FREE SOLUTION]

Chapter 6: Problem 24

Round each decimal to the specified position. 817.42 to the nearest ten.

Short Answer

Expert verified

817.42 rounded to the nearest ten is 820.

Step by step solution

Identify the Digit in the Tens Place

In the number 817.42, the digit in the tens place is 1. To round the number to the nearest ten, we need to look at the digit in the next smallest place, which is the digit in the ones place.

Determine Whether to Round Up or Down

Look at the digit in the ones place, which is 7. According to rounding rules, if this digit is 5 or greater, we round up the tens digit by one. If it鈥檚 less than 5, we leave the tens digit as is.

Round the Number

Since the digit in the ones place is 7, we round up the tens digit from 1 to 2. This makes the tens digit 2. All digits to the right become zero.

Rewrite the Rounded Number

With the tens digit rounded up from 1 to 2 and all other digits to the right of it becoming zero, the number 817.42 rounded to the nearest ten is 820.

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Key Concepts

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

Nearest Ten

When rounding to the nearest ten, you're identifying which multiple of ten is closest to your original number. This concept is crucial in estimating and simplifying numbers, making them easier to work with. For example, when you have the number 817.42, you seek to find whether 810 or 820 is nearer.

The process usually involves looking at the tens digit and deciding based on nearby digits in smaller places, like the ones place. This approach makes larger numbers more manageable and is especially useful in everyday calculations, such as budgeting or quick mental math.

Tens Place

The tens place in a number is the second digit to the left of the decimal point. It's a critical indicator of value when rounding numbers to the nearest ten. In the example number 817.42, the tens place holds the digit '1'.

To effectively round a number, you must first clearly identify the digit in the tens place. Recognizing this digit helps you understand the framework within which you鈥檙e working: whether to increase it or leave it as is, depending on rounding rules. The tens place gives the number a particular magnitude and directly impacts its rounded form.

Rounding Rules

Rounding rules are simple guidelines that help determine how a number should be adjusted to its nearest desired level. These rules are especially useful for achieving a cleaner approximation of a decimal number.

If the digit in the place immediately to the right (in this case, the ones place) is 5 or more, you round up the digit in the tens place.
If this digit is 4 or less, you leave the tens place digit unchanged.

For instance, in 817.42, after identifying the tens and ones places, you'd note the 7 in the ones place, which means rounding up is required. Thus, the 1 in the tens place becomes 2, and all subsequent digits turn into zeros, giving us 820 after rounding.

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91影视

Round each decimal to the specified position. 817.42 to the nearest ten.

Short Answer

Step by step solution

Identify the Digit in the Tens Place

Determine Whether to Round Up or Down

Round the Number

Rewrite the Rounded Number

Key Concepts

Nearest Ten

Tens Place

Rounding Rules

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