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Chapter 6: Problem 69

Round 0.95106 to the specified place. thousandths

Short Answer

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Question: Round the number 0.95106 to the thousandths place. Answer: 0.951

Step by step solution

01

Identify the Thousandths Place

In the number 0.95106, the thousandths place is the third digit after the decimal point. In this case, it is the number 1.
02

Determine Whether to Round Up or Down

Next, we need to look at the digit to the right of the thousandths place, which is the ten-thousandths place. In this case, the digit is 0. If the digit is 5 or greater, we would round up; otherwise, we'll round down. Since 0 is less than 5, we will round down.
03

Round to the Thousandths Place

Since the thousandths place is 1, and we're rounding down, we keep this digit the same. The final rounded number would be 0.951.

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Key Concepts

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

Thousandths Place
Understanding the position of the thousandths place is essential when working with decimal numbers. In a decimal number, the thousandths place refers to the third position to the right of the decimal point. For example, in the number 0.95106, you would count three places to the right of the decimal to find the thousandths place, which in this instance is represented by the digit 1.

When dealing with precise measurements or financial calculations, knowing how to identify the thousandths place is crucial since even a slight error can lead to significant inaccuracies.
Rounding Rules
The rules of rounding are straightforward but require careful attention. To round a number to a specific decimal place, you look at the digit immediately to the right of the target place. There are two possible scenarios:
  • If the digit is 5 or higher, you round up by increasing the digit in the target place by 1.
  • If the digit is 4 or lower, you round down, keeping the digit in the target place the same.
Applying this rule, let's take the number 0.95106 as an example. The thousandths place is 1, and the digit to its right is 0 (which is less than 5), so according to the rounding rules, we keep the thousandths place the same and eliminate all the digits to the right, resulting in 0.951.
Decimal Places
Decimal places are used to express a number more precisely. Each position after the decimal point represents a fractional part of a whole, with the first place being tenths, followed by hundredths, thousandths, and so on. The number of decimal places you choose to use can change the accuracy of the number鈥攎ore decimal places mean a more precise representation of the number.

It is important to decide the required level of precision before rounding a number. In some contexts, like scientific measurements or financial transactions, rounding to the correct number of decimal places is of utmost importance to maintain accuracy and consistency.

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