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A clock is 5 minutes fast. What time does it show? What time does another clock show if it is 50 minutes slow?

Mathematics

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The time is 5 to 8, which is $7:55$.

28-29) Clock 1

  1. Read the time on the clock.

    The hour hand is just past the 8, and the minute hand is on the 12. This indicates $8:00$.

  2. Compare with the reference time ($7:55$).

    The clock shows 8:008:00, which is 5 minutes after 7:557:55.
    The clock is 8:00−7:55=58:00 - 7:55 = 5 minutes fast.
    The clock is 5 minutes fast\boxed{\text{5 minutes fast}}.

    30-31) Clock 2

  3. Read the time on the clock.

    The hour hand is just past the 7, and the minute hand is on the 1. This indicates $7:05$.

  4. Compare with the reference time ($7:55$).

    The clock shows 7:057:05, which is 50 minutes before 7:557:55.
    The clock is 7:55−7:05=507:55 - 7:05 = 50 minutes slow.
    The clock is 50 minutes slow\boxed{\text{50 minutes slow}}.

    32-33) Clock 3

  5. Read the time on the clock.

    The hour hand is between 8 and 9, and the minute hand is on the 3. This indicates $8:15$.

  6. Compare with the reference time ($7:55$).

    The clock shows 8:158:15, which is 20 minutes after 7:557:55.
    The clock is 8:15−7:55=208:15 - 7:55 = 20 minutes fast.
    The clock is 20 minutes fast\boxed{\text{20 minutes fast}}.

    34-35) Clock 4

  7. Read the time on the clock.

    The hour hand is between 7 and 8, and the minute hand is on the 6. This indicates $7:30$.

  8. Compare with the reference time ($7:55$).

    The clock shows 7:307:30, which is 25 minutes before 7:557:55.
    The clock is 7:55−7:30=257:55 - 7:30 = 25 minutes slow.
    The clock is 25 minutes slow\boxed{\text{25 minutes slow}}.

    36) What needs to be added/subtracted to change 7812 to 7212?

  9. Find the difference between the two numbers.

    7212−7812=−6007212 - 7812 = -600
  10. Determine if it's an addition or subtraction.

    Since the result is negative, 600 needs to be subtracted.
    600 subtracted\boxed{\text{600 subtracted}}.

    37) What needs to be added/subtracted to change 6324 to 6354?

  11. Find the difference between the two numbers.

    6354−6324=306354 - 6324 = 30
  12. Determine if it's an addition or subtraction.

    Since the result is positive, 30 needs to be added.
    30 added\boxed{\text{30 added}}.

    38) What is the largest number you can make with these digits: 2, 5, 8, 6, 5?

  13. Arrange the digits in descending order to form the largest possible number.

    The digits are 8,6,5,5,28, 6, 5, 5, 2.
    The largest number is 86552\boxed{\text{86552}}.

    39) Now write it in words.
    The number 86552 in words is Eighty-six thousand, five hundred and fifty-two\boxed{\text{Eighty-six thousand, five hundred and fifty-two}}.

    40) Write in figures four thousand, one hundred and twenty.

  14. Break down the number into its place values.

    Four thousand =4000= 4000
    One hundred =100= 100
    Twenty =20= 20

  15. Sum the values.

    4000+100+20=41204000 + 100 + 20 = 4120

    The number in figures is 4120\boxed{\text{4120}}.

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