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Round off the following numbers to the nearest 10 and calculate the sums.

Mathematics

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Here are the solutions to your mathematics exercises.

: Round off to the nearest 10.

  1. To round 465 to the nearest 10, look at the ones digit. Since it is 5, round up the tens digit. 465≈470465 \approx \boxed{470}
  2. To round 8235 to the nearest 10, look at the ones digit. Since it is 5, round up the tens digit. 8235≈82408235 \approx \boxed{8240}
  3. To round 1932 to the nearest 10, look at the ones digit. Since it is 2 (less than 5), keep the tens digit the same. 1932≈19301932 \approx \boxed{1930}
  4. To round 89 to the nearest 10, look at the ones digit. Since it is 9 (greater than 5), round up the tens digit. 89≈9089 \approx \boxed{90}
  5. To round 4599 to the nearest 10, look at the ones digit. Since it is 9 (greater than 5), round up the tens digit. This means the 9 in the tens place becomes 10, so carry over to the hundreds place. 4599≈46004599 \approx \boxed{4600}

: Use any method to calculate the following.

  1. 3572+2981=65533572 + 2981 = \boxed{6553}
  2. 4175+3834=80094175 + 3834 = \boxed{8009}
  3. 6715+285=70006715 + 285 = \boxed{7000}
  4. 1853+7146=89991853 + 7146 = \boxed{8999}
  5. 4562+3825=83874562 + 3825 = \boxed{8387}
  6. 6258+649=69076258 + 649 = \boxed{6907}
  7. 947+384=1331947 + 384 = \boxed{1331}
  8. 4705+2327=70324705 + 2327 = \boxed{7032}
  9. 8376+4753=131298376 + 4753 = \boxed{13129}
  10. 6482+7586=140686482 + 7586 = \boxed{14068}

: Replace the letters with the correct numbers.

In a number pyramid, each block is the sum of the two blocks directly below it.

  1. Find the value of 'a'.

    The block 3231 is the sum of 1647 and aa.

    1647+a=32311647 + a = 3231

    To find aa, subtract 1647 from 3231:

    a=3231−1647a = 3231 - 1647 a=1584a = \boxed{1584}
  2. Find the value of 'b'.

    The block bb is the sum of 2131 and 1252.

    b=2131+1252b = 2131 + 1252 b=3383b = \boxed{3383}
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