Decimal Place Tenths; Decimal Places Hundredths; Decimal Places Thousandths Rounding Decimals Round using the place value method.

Decimal Place Tenths; Decimal Places Hundredths; Decimal Places Thousandths Rounding Decimals Round using the place value method. Fill in the place value chart to aid your work: Place 6.928 in the place value chart. Round 6.928 to the nearest tenth: ones tenths hundredths thousandths Place 3.596 in the place value chart. ones tenths hundredths thousandths Round 596 to the nearest hundredth:

The Correct Answer and Explanation is:

Here are the completed answers and a detailed explanation for each problem.

Answers:

1. Round 6.928 to the nearest tenth: 6.9
2. Round 3.596 to the nearest hundredth: 3.60

Explanation

This exercise involves rounding decimal numbers to a specified place value. The process relies on a simple rule: look at the digit immediately to the right of the place you are rounding to. If that digit is 5 or greater, you round up the digit in your target place. If it is 4 or less, you keep the target digit as it is.

Problem 1: Round 6.928 to the nearest tenth

First, we place the number 6.928 in the place value chart. The number 6 is in the ones place. The first digit after the decimal point, 9, is in the tenths place. The second digit, 2, is in the hundredths place, and the third digit, 8, is in the thousandths place.

Our goal is to round to the nearest tenth.

1. Identify the rounding digit: The digit in the tenths place is 9. This is the number we will either keep the same or round up.
2. Look at the digit to the right: The digit immediately to the right of the tenths place is the hundredths digit, which is 2.
3. Apply the rounding rule: The rule states that if the digit to the right is 4 or less, we leave the rounding digit unchanged. Since 2 is less than 5, we keep the 9 in the tenths place as it is.
4. Finalize the number: We keep the digits up to the tenths place and drop all the digits to its right. Therefore, 6.928 rounded to the nearest tenth is 6.9.

Problem 2: Round 3.596 to the nearest hundredth

First, we place 3.596 in the place value chart. The number 3 is in the ones place, 5 is in the tenths place, 9 is in the hundredths place, and 6 is in the thousandths place.

Our goal is to round to the nearest hundredth.

1. Identify the rounding digit: The digit in the hundredths place is 9.
2. Look at the digit to the right: The digit to the right of the hundredths place is the thousandths digit, which is 6.
3. Apply the rounding rule: The rule states that if the digit to the right is 5 or greater, we must round up the rounding digit. Since 6 is greater than 5, we need to round up the 9.
4. Perform the rounding up: When we round up a 9, it becomes 10. This means we replace the 9 with a 0 and carry over 1 to the next place value to the left, which is the tenths place. The 5 in the tenths place becomes 5 + 1 = 6.
5. Finalize the number: The ones place remains 3, the tenths place is now 6, and the hundredths place is 0. So, 3.596 rounded to the nearest hundredth is 3.60. It is crucial to include the zero at the end to show that the number has been specifically rounded to the hundredths place, indicating that level of precision.