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Chapter 4: Problem 87

Round 34.54389 to the nearest: One.

Short Answer

Expert verified
35

Step by step solution

01

Identify the Relevant Digit

To round 34.54389 to the nearest one, find the digit in the ones place. In this case, 34 is the number, and '4' is in the ones place.
02

Check the Next Digit

Look at the digit immediately to the right of the ones place, which is the tenths place. The digit in the tenths place is '5'.
03

Apply Rounding Rules

According to rounding rules, if the digit in the tenths place is 5 or higher, round up the ones place by 1. Since '5' is equal to 5, round up '4' by 1.
04

Write the Rounded Number

Since '4' rounded up by 1 becomes '5', the number 34.54389 rounded to the nearest one is 35.

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Key Concepts

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

nearest whole number
Rounding a number to the nearest whole number means adjusting it to the closest integer. In our example, we have the number 34.54389. The goal is to determine whether this number is closer to 34 or 35.
To do this, we need to examine the digit in the tenths place, which is the first digit to the right of the decimal point.
Depending on this digit, we either round the number up or down to give us the nearest whole number.
rounding rules
Rounding rules help us decide whether to round up or down.
These rules are straightforward:
  • If the digit in the tenths place is 0, 1, 2, 3, or 4, round down.
  • If the digit in the tenths place is 5, 6, 7, 8, or 9, round up.
In our example, the number is 34.54389, and the digit in the tenths place is '5'. According to our rounding rules, because 5 is a number that prompts a round-up, we increase the digit in the ones place by 1.
This rule helps simplify numbers and make them easier to work with in everyday life.
tenths place
The tenths place is the first digit to the right of the decimal point.
It is crucial when rounding decimals to a specific place value. In this example, the number 34.54389 has '5' in the tenths place. This particular digit tells us whether to round the previous digit (in the ones place) up or down based on established rounding rules.
So, when you see a decimal and need to round it, always start by looking at the tenths place.
It simplifies the process and ensures you apply the correct rounding rules.

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