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Chapter 1: Problem 3

Round each of the numbers to the nearest ten. $$46$$

Short Answer

Expert verified
46 rounded to the nearest ten is 50.

Step by step solution

01

Identify the Tens Place

The number 46 consists of the digits 4 (in the tens place) and 6 (in the ones place). We will focus on the tens place, which is 4.
02

Look at the Ones Place

To determine if we should round up or down, we need to examine the ones place. Here, the ones place is 6.
03

Decide to Round Up or Down

If the ones place is 5 or higher, we round up. Since 6 is greater than 5, we should round the tens place (4) up to 5.
04

Write the Rounded Number

By rounding the tens place from 4 to 5, the number becomes 50 when rounded to the nearest ten.

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Key Concepts

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

Understanding Place Value
Place value is a foundational concept in mathematics that dictates the value of a digit in a number based on its position. Each digit in a number has a specific place value, and understanding these is crucial when rounding numbers. In a two-digit number such as 46, for example, the digit '4' is in the tens place and represents four tens, or 40. The digit '6' is in the ones place and represents six ones, or simply 6. By recognizing these positions, you can accurately deconstruct a number into its component parts:
  • Tens Place: Indicates the number of tens in the number.
  • Ones Place: Indicates the number of single units or ones.
Knowing these positions helps you understand how to manipulate and round numbers effectively.
Rounding to the Nearest Ten
Rounding to the nearest ten involves adjusting a number to make it simpler while keeping its value close to the original. The goal is to find the closest multiple of ten. Using the number 46, we can see how this process works. First, identify the tens place, which is '4' in this example. Next, check the ones place. If the digit in the ones place is 5 or more, you will round up. If it's less than 5, you will round down. Since the ones place is a '6', we round the '4' in the tens place up to '5'. The rounded number will then be 50. Understanding this rounding decision is crucial for approximating numbers in everyday scenarios.
Exploring Ones and Tens Places
The ones and tens places play a significant role when rounding numbers as they are the deciding factors in whether you round up or down. In the number 46, the digit '6' is the ones place. When rounding, always refer to the following rule:
  • If the ones digit is 5 or greater, add 1 to the tens digit and change the ones digit to zero.
  • If the ones digit is less than 5, keep the tens digit the same and change the ones digit to zero.
For example, because '6' is more than '5', the number 46 rounds up to 50. Recognizing the values in the ones and tens places helps ensure accuracy when simplifying numbers.

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Most popular questions from this chapter

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