Rounding Numbers: EnchantedLearning.com - Free Printable
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Step-by-step solution for: Rounding Numbers: EnchantedLearning.com
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Show Answer Key & Explanations
Step-by-step solution for: Rounding Numbers: EnchantedLearning.com
To solve the problem, we need to round each given number to the nearest hundredth place. The hundredth place is the second digit after the decimal point. Here's how we approach rounding:
1. Identify the hundredth place: This is the second digit after the decimal point.
2. Look at the thousandth place: This is the third digit after the decimal point.
3. Rounding rule:
- If the thousandth place digit is 5 or greater, round up the hundredth place by 1.
- If the thousandth place digit is less than 5, keep the hundredth place as it is.
Let's solve each part step by step.
---
#### Given numbers:
- $ 19.84 $
- $ 36.41 $
- $ 841.00 $
- $ 44.19 $
- $ 83.77 $
- $ 99.53 $
- $ 57.81 $
- $ 74.77 $
- $ 117.74 $
#### Solutions:
1. $ 19.84 $:
- Hundredth place: $ 84 $
- Thousandth place: $ 0 $ (not present, so it's $ 0 $)
- Since $ 0 < 5 $, no rounding up.
- Rounded: $ 19.84 $
2. $ 36.41 $:
- Hundredth place: $ 41 $
- Thousandth place: $ 0 $ (not present, so it's $ 0 $)
- Since $ 0 < 5 $, no rounding up.
- Rounded: $ 36.41 $
3. $ 841.00 $:
- Hundredth place: $ 00 $
- Thousandth place: $ 0 $ (not present, so it's $ 0 $)
- Since $ 0 < 5 $, no rounding up.
- Rounded: $ 841.00 $
4. $ 44.19 $:
- Hundredth place: $ 19 $
- Thousandth place: $ 0 $ (not present, so it's $ 0 $)
- Since $ 0 < 5 $, no rounding up.
- Rounded: $ 44.19 $
5. $ 83.77 $:
- Hundredth place: $ 77 $
- Thousandth place: $ 0 $ (not present, so it's $ 0 $)
- Since $ 0 < 5 $, no rounding up.
- Rounded: $ 83.77 $
6. $ 99.53 $:
- Hundredth place: $ 53 $
- Thousandth place: $ 0 $ (not present, so it's $ 0 $)
- Since $ 0 < 5 $, no rounding up.
- Rounded: $ 99.53 $
7. $ 57.81 $:
- Hundredth place: $ 81 $
- Thousandth place: $ 0 $ (not present, so it's $ 0 $)
- Since $ 0 < 5 $, no rounding up.
- Rounded: $ 57.81 $
8. $ 74.77 $:
- Hundredth place: $ 77 $
- Thousandth place: $ 0 $ (not present, so it's $ 0 $)
- Since $ 0 < 5 $, no rounding up.
- Rounded: $ 74.77 $
9. $ 117.74 $:
- Hundredth place: $ 74 $
- Thousandth place: $ 0 $ (not present, so it's $ 0 $)
- Since $ 0 < 5 $, no rounding up.
- Rounded: $ 117.74 $
---
#### Given numbers:
- $ 219.84 $
- $ 333.84 $
- $ 8,401.00 $
- $ 342.19 $
- $ 494.77 $
- $ 1,902.53 $
- $ 743.81 $
- $ 5,150.77 $
- $ 9,858.74 $
#### Solutions:
1. $ 219.84 $:
- Hundredth place: $ 84 $
- Thousandth place: $ 0 $ (not present, so it's $ 0 $)
- Since $ 0 < 5 $, no rounding up.
- Rounded: $ 219.84 $
2. $ 333.84 $:
- Hundredth place: $ 84 $
- Thousandth place: $ 0 $ (not present, so it's $ 0 $)
- Since $ 0 < 5 $, no rounding up.
- Rounded: $ 333.84 $
3. $ 8,401.00 $:
- Hundredth place: $ 00 $
- Thousandth place: $ 0 $ (not present, so it's $ 0 $)
- Since $ 0 < 5 $, no rounding up.
- Rounded: $ 8,401.00 $
4. $ 342.19 $:
- Hundredth place: $ 19 $
- Thousandth place: $ 0 $ (not present, so it's $ 0 $)
- Since $ 0 < 5 $, no rounding up.
- Rounded: $ 342.19 $
5. $ 494.77 $:
- Hundredth place: $ 77 $
- Thousandth place: $ 0 $ (not present, so it's $ 0 $)
- Since $ 0 < 5 $, no rounding up.
- Rounded: $ 494.77 $
6. $ 1,902.53 $:
- Hundredth place: $ 53 $
- Thousandth place: $ 0 $ (not present, so it's $ 0 $)
- Since $ 0 < 5 $, no rounding up.
- Rounded: $ 1,902.53 $
7. $ 743.81 $:
- Hundredth place: $ 81 $
- Thousandth place: $ 0 $ (not present, so it's $ 0 $)
- Since $ 0 < 5 $, no rounding up.
- Rounded: $ 743.81 $
8. $ 5,150.77 $:
- Hundredth place: $ 77 $
- Thousandth place: $ 0 $ (not present, so it's $ 0 $)
- Since $ 0 < 5 $, no rounding up.
- Rounded: $ 5,150.77 $
9. $ 9,858.74 $:
- Hundredth place: $ 74 $
- Thousandth place: $ 0 $ (not present, so it's $ 0 $)
- Since $ 0 < 5 $, no rounding up.
- Rounded: $ 9,858.74 $
---
#### Given numbers:
- $ 4,125.84 $
- $ 9,441.84 $
- $ 2,317.00 $
- $ 25,620.53 $
- $ 9,562.81 $
- $ 5,123.77 $
- $ 51,280.74 $
- $ 29,988.74 $
#### Solutions:
1. $ 4,125.84 $:
- Hundredth place: $ 84 $
- Thousandth place: $ 0 $ (not present, so it's $ 0 $)
- Since $ 0 < 5 $, no rounding up.
- Rounded: $ 4,125.84 $
2. $ 9,441.84 $:
- Hundredth place: $ 84 $
- Thousandth place: $ 0 $ (not present, so it's $ 0 $)
- Since $ 0 < 5 $, no rounding up.
- Rounded: $ 9,441.84 $
3. $ 2,317.00 $:
- Hundredth place: $ 00 $
- Thousandth place: $ 0 $ (not present, so it's $ 0 $)
- Since $ 0 < 5 $, no rounding up.
- Rounded: $ 2,317.00 $
4. $ 25,620.53 $:
- Hundredth place: $ 53 $
- Thousandth place: $ 0 $ (not present, so it's $ 0 $)
- Since $ 0 < 5 $, no rounding up.
- Rounded: $ 25,620.53 $
5. $ 9,562.81 $:
- Hundredth place: $ 81 $
- Thousandth place: $ 0 $ (not present, so it's $ 0 $)
- Since $ 0 < 5 $, no rounding up.
- Rounded: $ 9,562.81 $
6. $ 5,123.77 $:
- Hundredth place: $ 77 $
- Thousandth place: $ 0 $ (not present, so it's $ 0 $)
- Since $ 0 < 5 $, no rounding up.
- Rounded: $ 5,123.77 $
7. $ 51,280.74 $:
- Hundredth place: $ 74 $
- Thousandth place: $ 0 $ (not present, so it's $ 0 $)
- Since $ 0 < 5 $, no rounding up.
- Rounded: $ 51,280.74 $
8. $ 29,988.74 $:
- Hundredth place: $ 74 $
- Thousandth place: $ 0 $ (not present, so it's $ 0 $)
- Since $ 0 < 5 $, no rounding up.
- Rounded: $ 29,988.74 $
---
$$
\boxed{
\begin{array}{c}
19.84, 36.41, 841.00, 44.19, 83.77, 99.53, 57.81, 74.77, 117.74 \\
219.84, 333.84, 8,401.00, 342.19, 494.77, 1,902.53, 743.81, 5,150.77, 9,858.74 \\
4,125.84, 9,441.84, 2,317.00, 25,620.53, 9,562.81, 5,123.77, 51,280.74, 29,988.74
\end{array}
}
$$
1. Identify the hundredth place: This is the second digit after the decimal point.
2. Look at the thousandth place: This is the third digit after the decimal point.
3. Rounding rule:
- If the thousandth place digit is 5 or greater, round up the hundredth place by 1.
- If the thousandth place digit is less than 5, keep the hundredth place as it is.
Let's solve each part step by step.
---
Part 1: Rounding to the nearest hundredth
#### Given numbers:
- $ 19.84 $
- $ 36.41 $
- $ 841.00 $
- $ 44.19 $
- $ 83.77 $
- $ 99.53 $
- $ 57.81 $
- $ 74.77 $
- $ 117.74 $
#### Solutions:
1. $ 19.84 $:
- Hundredth place: $ 84 $
- Thousandth place: $ 0 $ (not present, so it's $ 0 $)
- Since $ 0 < 5 $, no rounding up.
- Rounded: $ 19.84 $
2. $ 36.41 $:
- Hundredth place: $ 41 $
- Thousandth place: $ 0 $ (not present, so it's $ 0 $)
- Since $ 0 < 5 $, no rounding up.
- Rounded: $ 36.41 $
3. $ 841.00 $:
- Hundredth place: $ 00 $
- Thousandth place: $ 0 $ (not present, so it's $ 0 $)
- Since $ 0 < 5 $, no rounding up.
- Rounded: $ 841.00 $
4. $ 44.19 $:
- Hundredth place: $ 19 $
- Thousandth place: $ 0 $ (not present, so it's $ 0 $)
- Since $ 0 < 5 $, no rounding up.
- Rounded: $ 44.19 $
5. $ 83.77 $:
- Hundredth place: $ 77 $
- Thousandth place: $ 0 $ (not present, so it's $ 0 $)
- Since $ 0 < 5 $, no rounding up.
- Rounded: $ 83.77 $
6. $ 99.53 $:
- Hundredth place: $ 53 $
- Thousandth place: $ 0 $ (not present, so it's $ 0 $)
- Since $ 0 < 5 $, no rounding up.
- Rounded: $ 99.53 $
7. $ 57.81 $:
- Hundredth place: $ 81 $
- Thousandth place: $ 0 $ (not present, so it's $ 0 $)
- Since $ 0 < 5 $, no rounding up.
- Rounded: $ 57.81 $
8. $ 74.77 $:
- Hundredth place: $ 77 $
- Thousandth place: $ 0 $ (not present, so it's $ 0 $)
- Since $ 0 < 5 $, no rounding up.
- Rounded: $ 74.77 $
9. $ 117.74 $:
- Hundredth place: $ 74 $
- Thousandth place: $ 0 $ (not present, so it's $ 0 $)
- Since $ 0 < 5 $, no rounding up.
- Rounded: $ 117.74 $
---
Part 2: Rounding to the nearest hundredth
#### Given numbers:
- $ 219.84 $
- $ 333.84 $
- $ 8,401.00 $
- $ 342.19 $
- $ 494.77 $
- $ 1,902.53 $
- $ 743.81 $
- $ 5,150.77 $
- $ 9,858.74 $
#### Solutions:
1. $ 219.84 $:
- Hundredth place: $ 84 $
- Thousandth place: $ 0 $ (not present, so it's $ 0 $)
- Since $ 0 < 5 $, no rounding up.
- Rounded: $ 219.84 $
2. $ 333.84 $:
- Hundredth place: $ 84 $
- Thousandth place: $ 0 $ (not present, so it's $ 0 $)
- Since $ 0 < 5 $, no rounding up.
- Rounded: $ 333.84 $
3. $ 8,401.00 $:
- Hundredth place: $ 00 $
- Thousandth place: $ 0 $ (not present, so it's $ 0 $)
- Since $ 0 < 5 $, no rounding up.
- Rounded: $ 8,401.00 $
4. $ 342.19 $:
- Hundredth place: $ 19 $
- Thousandth place: $ 0 $ (not present, so it's $ 0 $)
- Since $ 0 < 5 $, no rounding up.
- Rounded: $ 342.19 $
5. $ 494.77 $:
- Hundredth place: $ 77 $
- Thousandth place: $ 0 $ (not present, so it's $ 0 $)
- Since $ 0 < 5 $, no rounding up.
- Rounded: $ 494.77 $
6. $ 1,902.53 $:
- Hundredth place: $ 53 $
- Thousandth place: $ 0 $ (not present, so it's $ 0 $)
- Since $ 0 < 5 $, no rounding up.
- Rounded: $ 1,902.53 $
7. $ 743.81 $:
- Hundredth place: $ 81 $
- Thousandth place: $ 0 $ (not present, so it's $ 0 $)
- Since $ 0 < 5 $, no rounding up.
- Rounded: $ 743.81 $
8. $ 5,150.77 $:
- Hundredth place: $ 77 $
- Thousandth place: $ 0 $ (not present, so it's $ 0 $)
- Since $ 0 < 5 $, no rounding up.
- Rounded: $ 5,150.77 $
9. $ 9,858.74 $:
- Hundredth place: $ 74 $
- Thousandth place: $ 0 $ (not present, so it's $ 0 $)
- Since $ 0 < 5 $, no rounding up.
- Rounded: $ 9,858.74 $
---
Part 3: Rounding to the nearest hundredth
#### Given numbers:
- $ 4,125.84 $
- $ 9,441.84 $
- $ 2,317.00 $
- $ 25,620.53 $
- $ 9,562.81 $
- $ 5,123.77 $
- $ 51,280.74 $
- $ 29,988.74 $
#### Solutions:
1. $ 4,125.84 $:
- Hundredth place: $ 84 $
- Thousandth place: $ 0 $ (not present, so it's $ 0 $)
- Since $ 0 < 5 $, no rounding up.
- Rounded: $ 4,125.84 $
2. $ 9,441.84 $:
- Hundredth place: $ 84 $
- Thousandth place: $ 0 $ (not present, so it's $ 0 $)
- Since $ 0 < 5 $, no rounding up.
- Rounded: $ 9,441.84 $
3. $ 2,317.00 $:
- Hundredth place: $ 00 $
- Thousandth place: $ 0 $ (not present, so it's $ 0 $)
- Since $ 0 < 5 $, no rounding up.
- Rounded: $ 2,317.00 $
4. $ 25,620.53 $:
- Hundredth place: $ 53 $
- Thousandth place: $ 0 $ (not present, so it's $ 0 $)
- Since $ 0 < 5 $, no rounding up.
- Rounded: $ 25,620.53 $
5. $ 9,562.81 $:
- Hundredth place: $ 81 $
- Thousandth place: $ 0 $ (not present, so it's $ 0 $)
- Since $ 0 < 5 $, no rounding up.
- Rounded: $ 9,562.81 $
6. $ 5,123.77 $:
- Hundredth place: $ 77 $
- Thousandth place: $ 0 $ (not present, so it's $ 0 $)
- Since $ 0 < 5 $, no rounding up.
- Rounded: $ 5,123.77 $
7. $ 51,280.74 $:
- Hundredth place: $ 74 $
- Thousandth place: $ 0 $ (not present, so it's $ 0 $)
- Since $ 0 < 5 $, no rounding up.
- Rounded: $ 51,280.74 $
8. $ 29,988.74 $:
- Hundredth place: $ 74 $
- Thousandth place: $ 0 $ (not present, so it's $ 0 $)
- Since $ 0 < 5 $, no rounding up.
- Rounded: $ 29,988.74 $
---
Final Answer
$$
\boxed{
\begin{array}{c}
19.84, 36.41, 841.00, 44.19, 83.77, 99.53, 57.81, 74.77, 117.74 \\
219.84, 333.84, 8,401.00, 342.19, 494.77, 1,902.53, 743.81, 5,150.77, 9,858.74 \\
4,125.84, 9,441.84, 2,317.00, 25,620.53, 9,562.81, 5,123.77, 51,280.74, 29,988.74
\end{array}
}
$$
Parent Tip: Review the logic above to help your child master the concept of rounding to hundreds and thousands place worksheet.