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Complete the following multiplication table. Activity 1: Revise the multiplication of decimal fractions by using the following activity.

Mathematics

ScanSolve AI Answer

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 4<54 < 5, we keep the units digit as it is. 6464
  • Nearest Tenth: The digit in the hundredths place is 5. Since 5≥55 \ge 5, we round up the tenths digit. 64.564.5
  • Nearest Hundredth: The digit in the thousandths place is 3. Since 3<53 < 5, we keep the hundredths digit as it is. 64.4564.45
  • Nearest Thousandth: The digit in the ten-thousandths place is 6. Since 6≥56 \ge 5, we round up the thousandths digit. 64.45464.454

2. For the number 9.3472:

  • Nearest Unit: The digit in the tenths place is 3. Since 3<53 < 5, we keep the units digit as it is. 99
  • Nearest Tenth: The digit in the hundredths place is 4. Since 4<54 < 5, we keep the tenths digit as it is. 9.39.3
  • Nearest Hundredth: The digit in the thousandths place is 7. Since 7≥57 \ge 5, we round up the hundredths digit. 9.359.35
  • Nearest Thousandth: The digit in the ten-thousandths place is 2. Since 2<52 < 5, we keep the thousandths digit as it is. 9.3479.347

3. For the number 2.345.999 (interpreted as 2,345.999):

  • Nearest Unit: The digit in the tenths place is 9. Since 9≥59 \ge 5, we round up the units digit. 2,3462,346
  • Nearest Tenth: The digit in the hundredths place is 9. Since 9≥59 \ge 5, we round up the tenths digit. 2,346.02,346.0
  • Nearest Hundredth: The digit in the thousandths place is 9. Since 9≥59 \ge 5, we round up the hundredths digit. 2,346.002,346.00
  • Nearest Thousandth: The number is already expressed to the thousandths place. 2,345.9992,345.999

Here is the completed table:

NumberNearest UnitNearest tenthNearest hundredthNearest thousandth
64.4536864\boxed{64}64.5\boxed{64.5}64.45\boxed{64.45}64.454\boxed{64.454}
9.34729\boxed{9}9.3\boxed{9.3}9.35\boxed{9.35}9.347\boxed{9.347}
2.345.9992346\boxed{2346}2346.0\boxed{2346.0}2346.00\boxed{2346.00}2345.999\boxed{2345.999}
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