Problem Explanation:
The task involves rounding decimals to the nearest hundredth. Rounding to the nearest hundredth means looking at the digit in the thousandths place (the third digit after the decimal point) and deciding whether to round up or down based on that digit.
- If the digit in the thousandths place is
5 or greater, round up the hundredths place by 1.
- If the digit in the thousandths place is
less than 5, keep the hundredths place as it is.
Additionally, there are two word problems that require applying this rounding concept.
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Solution:
####
Part 1: Rounding Decimals
We will round each decimal to the nearest hundredth.
1.
5.7415
- Hundredths place: 4
- Thousandths place: 1 (less than 5)
- Rounded:
5.74
2.
28.461
- Hundredths place: 6
- Thousandths place: 1 (less than 5)
- Rounded:
28.46
3.
16.0154
- Hundredths place: 1
- Thousandths place: 5 (equal to 5)
- Rounded:
16.02
4.
7.538
- Hundredths place: 3
- Thousandths place: 8 (greater than 5)
- Rounded:
7.54
5.
9.253
- Hundredths place: 5
- Thousandths place: 3 (less than 5)
- Rounded:
9.25
6.
34.6976
- Hundredths place: 9
- Thousandths place: 7 (greater than 5)
- Rounded:
34.70
7.
70.836
- Hundredths place: 3
- Thousandths place: 6 (greater than 5)
- Rounded:
70.84
8.
6.2654
- Hundredths place: 6
- Thousandths place: 5 (equal to 5)
- Rounded:
6.27
9.
8.6128
- Hundredths place: 1
- Thousandths place: 2 (less than 5)
- Rounded:
8.61
10.
52.182
- Hundredths place: 8
- Thousandths place: 2 (less than 5)
- Rounded:
52.18
11.
43.9267
- Hundredths place: 2
- Thousandths place: 6 (greater than 5)
- Rounded:
43.93
12.
1.389
- Hundredths place: 8
- Thousandths place: 9 (greater than 5)
- Rounded:
1.39
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####
Part 2: Word Problems
13.
A large container holds 24.859 gallons of water. How many gallons does it contain if the quantity is rounded to the nearest hundredth?
- Hundredths place: 5
- Thousandths place: 9 (greater than 5)
- Rounded:
24.86 gallons
14.
Logan needs 13.2847 ounces of a particular chemical to complete his experiment. Round it to the nearest hundredth.
- Hundredths place: 8
- Thousandths place: 4 (less than 5)
- Rounded:
13.28 ounces
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Final Answers:
1.
5.74
2.
28.46
3.
16.02
4.
7.54
5.
9.25
6.
34.70
7.
70.84
8.
6.27
9.
8.61
10.
52.18
11.
43.93
12.
1.39
13.
24.86 gallons
14.
13.28 ounces
Boxed Final Answer:
\[
\boxed{5.74, 28.46, 16.02, 7.54, 9.25, 34.70, 70.84, 6.27, 8.61, 52.18, 43.93, 1.39, 24.86, 13.28}
\]
Parent Tip: Review the logic above to help your child master the concept of rounding hundredths.
