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Add 305 to 483 in base 8. Write seven thousand seven hundred and eighty-seven in figures. The three angles of a triangle are x, 43, and 72 degrees. Find x. If a pupil buys 36 oranges at 50 FRS each, h

Mathematics

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1. We usually add using base 10. Add 305 to 483 in base 8.
Assumption: The number 483 is a typo and should be 4738473_8, as 8 is not a valid digit in base 8. We will add 3058305_8 and 4738473_8.

  1. Add the rightmost digits

    58+38=810=1085_8 + 3_8 = 8_{10} = 10_8. Write down 0, carry over 1.

  2. Add the middle digits

    08+78+18(carry)=810=1080_8 + 7_8 + 1_8 (\text{carry}) = 8_{10} = 10_8. Write down 0, carry over 1.

  3. Add the leftmost digits

    38+48+18(carry)=810=1083_8 + 4_8 + 1_8 (\text{carry}) = 8_{10} = 10_8. Write down 10.

    3058+4738=10008305_8 + 473_8 = \boxed{1000_8}

    2. Numbers can be written in either figures or words. Write seven thousand seven hundred and eighty-seven in figures.

  4. Identify the place values for each part of the number.

  5. Combine the figures.

    7787\boxed{7787}

    3. The three angles of a triangle are x∘x^\circ, 43∘43^\circ, and 72∘72^\circ. Find the third angle.

  6. The sum of angles in a triangle is 180∘180^\circ.

    x∘+43∘+72∘=180∘x^\circ + 43^\circ + 72^\circ = 180^\circ

  7. Combine the known angles.

    x∘+115∘=180∘x^\circ + 115^\circ = 180^\circ

  8. Solve for xx.

    x∘=180∘−115∘x^\circ = 180^\circ - 115^\circ x∘=65∘x^\circ = \boxed{65^\circ}

    4. If a pupil buys 36 oranges at 50 FRS each, how much will he pay for all the oranges?

  9. Multiply the number of oranges by the cost per orange.

    Total cost=36×50 FRS\text{Total cost} = 36 \times 50 \text{ FRS}

  10. Calculate the product.

    Total cost=1800 FRS\text{Total cost} = \boxed{1800 \text{ FRS}}

    5. Write 6003 in words.

  11. Identify the thousands and units digits.

    Six thousand three\boxed{\text{Six thousand three}}

    6. What is the place value of 4 in 3460?

  12. Identify the position of the digit 4.

    The digit 4 is in the hundreds place.

    Hundreds\boxed{\text{Hundreds}}

    7. What is the average of 1, 4, 5, 6 and 9?
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