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Round the number 621,144,010 down to the nearest tens, hundreds, thousands, and ten-thousands. Also, round 0.000598473212 to 3 significant figures.

Mathematics

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Step-by-step solution

5 steps

Step 1: Round 621,144,010 down to the nearest tens.
Rounding down to the nearest tens means finding the largest multiple of 10 that is less than or equal to the number.
The number is already a multiple of 10.

621,144,010621,144,010

Step 2: Round 621,144,010 down to the nearest hundreds.
Rounding down to the nearest hundreds means finding the largest multiple of 100 that is less than or equal to the number.
The hundreds digit is 0. The number is between 621,144,000 and 621,144,100.

621,144,000621,144,000

Step 3: Round 621,144,010 down to the nearest thousands.
Rounding down to the nearest thousands means finding the largest multiple of 1000 that is less than or equal to the number.
The thousands digit is 4. The number is between 621,144,000 and 621,145,000.

621,144,000621,144,000

Step 4: Round 621,144,010 down to the nearest ten-thousands.
Rounding down to the nearest ten-thousands means finding the largest multiple of 10,000 that is less than or equal to the number.
The ten-thousands digit is 4. The number is between 621,140,000 and 621,150,000.

621,140,000621,140,000

Part a(i)

621,144,010

Part a(ii)

621,144,000

Part a(iii)

621,144,000

Part a(iv)· 3 steps

621,140,000

  1. Round 0.000598473212 to 3 significant figures.

    The first non-zero digit is 5. We count 3 significant figures: 5, 9, 8. The next digit is 4, which is less than 5, so we do not round up.

    0.0005980.000598
  2. Round 0.000598473212 to 6 significant figures.

    The first non-zero digit is 5. We count 6 significant figures: 5, 9, 8, 4, 7, 3. The next digit is 2, which is less than 5, so we do not round up.

    0.0005984730.000598473
  3. Round 0.000598473212 to 4 significant figures.

    The first non-zero digit is 5. We count 4 significant figures: 5, 9, 8, 4. The next digit is 7, which is 5 or greater, so we round up the last significant figure (4 becomes 5).

    0.00059850.0005985

Part b(i)

0.000598

Part b(ii)

0.000598473

Part b(iii)· 2 steps

0.0005985

  1. Express 921.899475 to 3 decimal places.

    The third decimal place is 9. The next digit is 4, which is less than 5, so we do not round up.

    921.899921.899
  2. Express 921.899475 to 4 decimal places.

    The fourth decimal place is 4. The next digit is 7, which is 5 or greater, so we round up the last decimal place (4 becomes 5).

    921.8995921.8995

    *c

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