Rounding Decimal Numbers to the Indicated Place Value

Oct 13, 2025 by magicalceylontours.com 136 views

Thi Answer Round the following to the indicated place value

Place value is a fundamental concept in mathematics that helps us understand the value of each digit in a number. In decimal numbers, each digit has a specific place value, which is determined by its position in the number. The place value of a digit can be expressed as a power of 10, with the rightmost digit having a place value of 10^0, the next digit to the left having a place value of 10^1, and so on.

Rounding Decimal Numbers to the Indicated Place Value

Rounding decimal numbers to the indicated place value involves simplifying the number to the nearest whole number or to a specific decimal place. This is done by looking at the digit to the right of the desired place value and deciding whether to round up or down. If the digit is 5 or greater, we round up; if it is less than 5, we round down.

Examples of Rounding Decimal Numbers

1. 18.98

To round 18.98 to the tenth place value, we look at the digit to the right of the tenths place, which is 9. Since 9 is greater than 5, we round up to 19.

2. 15.66

To round 15.66 to the tenth place value, we look at the digit to the right of the tenths place, which is 6. Since 6 is greater than 5, we round up to 15.7.

3. 443.44

To round 443.44 to the tenth place value, we look at the digit to the right of the tenths place, which is 4. Since 4 is less than 5, we round down to 443.4.

4. 0.37

To round 0.37 to the tenth place value, we look at the digit to the right of the tenths place, which is 7. Since 7 is greater than 5, we round up to 0.4.

5. 181.07

To round 181.07 to the tenth place value, we look at the digit to the right of the tenths place, which is 0. Since 0 is less than 5, we round down to 181.0.

6. 84.41

To round 84.41 to the tenth place value, we look at the digit to the right of the tenths place, which is 4. Since 4 is less than 5, we round down to 84.4.

7. 21.35

To round 21.35 to the tenth place value, we look at the digit to the right of the tenths place, which is 3. Since 3 is less than 5, we round down to 21.3.

8. 88.69

To round 88.69 to the tenth place value, we look at the digit to the right of the tenths place, which is 6. Since 6 is greater than 5, we round up to 88.7.

9. 13.55

To round 13.55 to the tenth place value, we look at the digit to the right of the tenths place, which is 5. Since 5 is exactly 5, we round up to 13.6.

10. 123.45

To round 123.45 to the tenth place value, we look at the digit to the right of the tenths place, which is 4. Since 4 is less than 5, we round down to 123.4.

Conclusion

Rounding decimal numbers to the indicated place value is an essential skill in mathematics that helps us simplify numbers and make calculations easier. By understanding the concept of place value and how to round numbers, we can perform calculations with confidence and accuracy. Whether you're working with decimal numbers or whole numbers, rounding to the indicated place value is a crucial step in solving mathematical problems.

Practice Exercises

Round 25.67 to the tenth place value.
Round 46.32 to the tenth place value.
Round 98.51 to the tenth place value.
Round 12.89 to the tenth place value.
Round 75.36 to the tenth place value.

Answer Key

25.7
46.3
98.5
12.9
75.4
Frequently Asked Questions (FAQs) about Rounding Decimal Numbers ====================================================================

Q: What is rounding in decimal numbers?

A: Rounding in decimal numbers involves simplifying the number to the nearest whole number or to a specific decimal place. This is done by looking at the digit to the right of the desired place value and deciding whether to round up or down.

Q: How do I round a decimal number to the tenths place?

A: To round a decimal number to the tenths place, look at the digit to the right of the tenths place. If it is 5 or greater, round up; if it is less than 5, round down.

Q: What is the rule for rounding up and down?

A: The rule for rounding up and down is as follows:

If the digit to the right of the desired place value is 5 or greater, round up.
If the digit to the right of the desired place value is less than 5, round down.
If the digit to the right of the desired place value is exactly 5, round up if the digit in the desired place value is even, and round down if the digit in the desired place value is odd.

Q: How do I round a decimal number to the hundredths place?

A: To round a decimal number to the hundredths place, look at the digit to the right of the hundredths place. If it is 5 or greater, round up; if it is less than 5, round down.

Q: Can I round a decimal number to any place value?

A: Yes, you can round a decimal number to any place value. However, the rules for rounding up and down may vary depending on the place value.

Q: What is the difference between rounding up and rounding down?

A: Rounding up involves increasing the digit in the desired place value by 1, while rounding down involves decreasing the digit in the desired place value by 1.

Q: How do I round a decimal number with a negative sign?

A: To round a decimal number with a negative sign, follow the same rules as rounding a positive decimal number.

Q: Can I round a decimal number with a repeating decimal?

A: Yes, you can round a decimal number with a repeating decimal. However, the rules for rounding up and down may vary depending on the repeating decimal.

Q: How do I round a decimal number with a large number of decimal places?

A: To round a decimal number with a large number of decimal places, follow the same rules as rounding a decimal number with a small number of decimal places.

Q: What is the importance of rounding decimal numbers?

A: Rounding decimal numbers is an essential skill in mathematics that helps us simplify numbers and make calculations easier. By understanding the concept of rounding decimal numbers, we can perform calculations with confidence and accuracy.

Conclusion

Rounding decimal numbers is a fundamental concept in mathematics that helps us simplify numbers and make calculations easier. By understanding the rules for rounding up and down, we can perform calculations with confidence and accuracy. Whether you're working with decimal numbers or whole numbers, rounding to the indicated place value is a crucial step in solving mathematical problems.

Practice Exercises

Round 25.67 to the hundredths place.
Round 46.32 to the hundredths place.
Round 98.51 to the hundredths place.
Round 12.89 to the hundredths place.
Round 75.36 to the hundredths place.

Answer Key

25.67
46.32
98.51
12.89
75.36