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total /53 p very important: show all calculations. 1. round to the near…

Question

total /53 p

very important: show all calculations.

  1. round to the nearest dollar:

a) \\$2.38 = ______
b) \\$4.67 = ______
c) \\$0.59 = ______

  1. convert each percent to a decimal.

a) 3\\% = ______
b) 89\\% = ______
c) 35\\% = ______

  1. there are:

______ hours in a day
______ days in a week
______ weeks in a year
______ months in a year

Explanation:

🆕 New Concept Discovered: Rounding and Percent Conversions
Converting percentages and rounding money values

Step 1: Round to the nearest dollar

To round to the nearest whole dollar, look at the cents portion (the tenths place, which is the first digit after the decimal point):

  • If the digit is \(5\) or greater, round up to the next dollar.
  • If the digit is less than \(5\), round down by keeping the dollar amount the same.
  • a) \(\$2.38\): The tenths digit is \(3\) (less than \(5\)), so we round down.

\[
\$2.38 \approx \$2
\]

  • b) \(\$4.67\): The tenths digit is \(6\) (greater than or equal to \(5\)), so we round up.

\[
\$4.67 \approx \$5
\]

  • c) \(\$0.59\): The tenths digit is \(5\) (greater than or equal to \(5\)), so we round up.

\[
\$0.59 \approx \$1
\]

Step 2: Convert each percent to a decimal

To convert a percentage to a decimal, divide the percentage value by \(100\) (which is equivalent to moving the decimal point two places to the left):

  • a) \(3\%\):

\[
\frac{3}{100} = 0.03
\]

  • b) \(89\%\):

\[
\frac{89}{100} = 0.89
\]

  • c) \(35\%\):

\[
\frac{35}{100} = 0.35
\]

Step 3: Fill in the time conversion facts

These are standard units of time measurement:

  • There are \(24\) hours in a day.
  • There are \(7\) days in a week.
  • There are \(52\) weeks in a year (approximately).
  • There are \(12\) months in a year.

Answer:

1. Round to the nearest dollar:
  • a) \(\$2.38 = \$2\)
  • b) \(\$4.67 = \$5\)
  • c) \(\$0.59 = \$1\)
2. Convert each percent to a decimal:
  • a) \(3\% = 0.03\)
  • b) \(89\% = 0.89\)
  • c) \(35\% = 0.35\)
3. Time facts:
  • \(24\) hours in a day
  • \(7\) days in a week
  • \(52\) weeks in a year
  • \(12\) months in a year