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Chapter 1: Problem 1

Round each of the numbers to the nearest ten. $$42$$

Short Answer

Expert verified
42 rounded to the nearest ten is 40.

Step by step solution

01

Identify the Tens and Units

The number given is 42. First, we identify the tens digit (4 in the tens place) and the units digit (2 in the units place).
02

Look at the Units Digit

The units digit of 42 is 2. According to rounding rules, if the units digit is less than 5, we round down.
03

Apply Rounding Rules

Since 2 is less than 5, we round the number down. Therefore, 42 rounded to the nearest ten is 40.

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Key Concepts

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

Place Value
When working with numbers, understanding the concept of place value is essential. Place value helps us determine the worth of each digit in a number based on its position. Let's consider the number 42.

  • The '4' is in the tens place, which means it represents 40.
  • The '2' is in the units or ones place, which stands for 2.
The value of each digit depends on where it is in the sequence. By knowing where each digit stands, we can better understand how rounding affects the number.
Rounding Rules
Rounding numbers requires following specific rules to decide whether we round up or round down. These rules offer a simple guideline:

  • If the digit in the units place is less than 5, then round down.
  • If the digit in the units place is 5 or greater, then round up.
Thinking about the number 42:
- The units digit is 2, and since 2 is less than 5, we follow the rule to round down.
In following these rules, we transform a detailed number into an easier-to-manage approximation. This is especially helpful in making calculations simpler and results more digestible.
Nearest Ten
The goal of rounding to the nearest ten is to adjust a number so that it's close to a multiple of ten.
When you round a number like 42 to the nearest ten, you're deciding which multiple of ten it's closest to.

  • If the units place suggests a smaller adjustment is sufficient, as in our example where the units digit is 2, you round down to 40.
  • Conversely, if the units digit were 7, for instance, you would round up to 50.
This method simplifies numbers while maintaining a level of accuracy that balances detail and simplicity, making it a valuable tool in everyday math.

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Most popular questions from this chapter

Mentally give a one-digit estimate for each of the following quotients. That is, for each quotient, mentally estimate the answer using one of the digits \(1,2,3,4,5,6,7,8,\) or 9 $$316 \div 289$$

The application problems that follow may involve more than merely division. Some may require addition, subtraction, or multiplication, whereas others may use a combination of two or more operations. Monthly Income \(A\) family has an annual income of \(\$ 42,300 .\) How much is their monthly income?

Write each of the following expressions in words. Use the word sum in each case. $$2+3=5$$

Write each of the following expressions in words. Use the word sum in each case. $$9+4$$

Add each of the following. (All problems involve carrying in at least one column. $$\begin{array}{l} 52,468 \\ 58,642 \\ \hline \end{array}$$
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