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Complete the following multiplication table. Activity 1: Revise the multiplication of decimal fractions by using the following activity.
Mathematics
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Here are the rounded values for the given numbers. I will assume that "2.345.999" means 2,345.999 (where the first dot is a thousands separator and the second is a decimal point), and that "Nearest thousands" in the last column header is a typo for "Nearest thousandth".
Rounding Rules:
- To round to a specific place value, look at the digit immediately to its right.
- If this digit is 5 or greater, round up the digit in the target place value.
- If this digit is less than 5, keep the digit in the target place value as it is.
1. For the number 64.45368:
- Nearest Unit: The digit in the tenths place is 4. Since , we keep the units digit as it is.
- Nearest Tenth: The digit in the hundredths place is 5. Since , we round up the tenths digit.
- Nearest Hundredth: The digit in the thousandths place is 3. Since , we keep the hundredths digit as it is.
- Nearest Thousandth: The digit in the ten-thousandths place is 6. Since , we round up the thousandths digit.
2. For the number 9.3472:
- Nearest Unit: The digit in the tenths place is 3. Since , we keep the units digit as it is.
- Nearest Tenth: The digit in the hundredths place is 4. Since , we keep the tenths digit as it is.
- Nearest Hundredth: The digit in the thousandths place is 7. Since , we round up the hundredths digit.
- Nearest Thousandth: The digit in the ten-thousandths place is 2. Since , we keep the thousandths digit as it is.
3. For the number 2.345.999 (interpreted as 2,345.999):
- Nearest Unit: The digit in the tenths place is 9. Since , we round up the units digit.
- Nearest Tenth: The digit in the hundredths place is 9. Since , we round up the tenths digit.
- Nearest Hundredth: The digit in the thousandths place is 9. Since , we round up the hundredths digit.
- Nearest Thousandth: The number is already expressed to the thousandths place.
Here is the completed table:
| Number | Nearest Unit | Nearest tenth | Nearest hundredth | Nearest thousandth |
|---|---|---|---|---|
| 64.45368 | ||||
| 9.3472 | ||||
| 2.345.999 |
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