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Chapter 1: Problem 1

Round to the nearest ten. $$ 48 $$

Short Answer

Expert verified
50

Step by step solution

01

Identify the place to round to

Determine which digit we need to consider by identifying the tens place. In the number 48, the tens place is the first digit, which is 4.
02

Consider the next smallest place value

Look at the digit immediately to the right of the tens place. This is the ones place. In the number 48, the ones place is occupied by 8.
03

Determine if you round up or down

If the digit in the ones place is 5 or greater, you round up. If it is less than 5, you round down. Since 8 is greater than 5, we will round up.
04

Adjust the tens place and set the ones place to zero

In the number 48, rounding up means increasing the 4 (in the tens place) by 1, resulting in 5, and setting the ones place to 0. Therefore, 48 rounded to the nearest ten is 50.

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Key Concepts

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

place value
Place value helps us understand the value of each digit in a number. In the number 48, the digit 4 is in the tens place, meaning it represents 40. The digit 8 is in the ones place, meaning it represents 8.
Knowing place values is crucial for rounding because it tells us which digit to focus on. For instance, to round to the nearest ten, we look at the tens place digit. If rounding to the nearest hundred, we would look at the hundreds place digit.
rounding rules
Rounding rules help us decide how to adjust numbers based on specific criteria.
Here are the core rounding rules:
  • If the digit is 0-4: Round down.
  • If the digit is 5-9: Round up.

To apply these rules, consider the example of 48. We look at the digit to the right of the tens place. Since it is an 8, which is in the range of 5-9, we round up.
This increases the tens place by 1 and changes the ones place to 0, resulting in the number 50.
Understanding these simple rules makes rounding tasks straightforward and error-free.
nearest ten
Rounding to the nearest ten means adjusting a number to the closest multiple of ten. This helps in making numbers easier to work with.
Here鈥檚 how you can round to the nearest ten:
  • Identify the tens place digit.
  • Look at the digit immediately to the right (ones place).
  • Apply the rounding rules: If the ones place digit is 5 or more, round up. If it is 4 or less, round down.

For example, with the number 48: The tens place is 4 and the ones place is 8. According to the rounding rules, since 8 is greater than 5, we round up. So, we change the tens place from 4 to 5 and set ones place to 0, converting 48 to 50.
Following these steps ensures you round numbers correctly to the nearest ten.

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Most popular questions from this chapter

Solve. Be sure to check. $$ 10+x=89 $$

Estimate each quotient by first rounding to the nearest hundred. Show your work. $$ 1165 \div 236 $$

Write each number in standard notation. Six hundred thirty-two thousand, eight hundred ninety-six

Round to the nearest ten. $$ 54 $$

Add. $$ \begin{array}{r} 67,789 \\ +18,965 \\ \hline \end{array} $$
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