Math Problem Statement

kan Du lave den med mellem regninger

Can you solve these division problems with intermediate steps?

Solution

I see the image you’ve uploaded contains a list of division problems in Danish, specifically involving four-digit numbers divided by single-digit numbers. I'll walk through each calculation with intermediate steps for you.

Problem Set with Intermediate Steps:

  1. 6840 ÷ 8
    6840÷8=8556840 \div 8 = 855 Steps:

    1. Divide 68 by 8 → 68 ÷ 8 = 8
    2. Multiply 8 × 8 = 64
    3. Subtract 64 from 68 → 68 - 64 = 4
    4. Bring down the 4 → 44
    5. Divide 44 by 8 → 44 ÷ 8 = 5 (remainder 4)
    6. Bring down the 0 → 40
    7. Divide 40 by 8 → 40 ÷ 8 = 5
      Final answer: 855
  2. 5670 ÷ 9
    5670÷9=6305670 \div 9 = 630 Steps:

    1. Divide 56 by 9 → 56 ÷ 9 = 6 (remainder 2)
    2. Bring down the 7 → 27
    3. Divide 27 by 9 → 27 ÷ 9 = 3
    4. Bring down the 0 → 0
      Final answer: 630
  3. 4320 ÷ 6
    4320÷6=7204320 \div 6 = 720 Steps:

    1. Divide 43 by 6 → 43 ÷ 6 = 7 (remainder 1)
    2. Bring down the 2 → 12
    3. Divide 12 by 6 → 12 ÷ 6 = 2
    4. Bring down the 0 → 0
      Final answer: 720
  4. 7480 ÷ 4
    7480÷4=18707480 \div 4 = 1870 Steps:

    1. Divide 74 by 4 → 74 ÷ 4 = 18 (remainder 2)
    2. Bring down the 8 → 28
    3. Divide 28 by 4 → 28 ÷ 4 = 7
    4. Bring down the 0 → 0
      Final answer: 1870
  5. 8190 ÷ 9
    8190÷9=9108190 \div 9 = 910 Steps:

    1. Divide 81 by 9 → 81 ÷ 9 = 9
    2. Bring down the 0 → 0
      Final answer: 910
  6. 9120 ÷ 8
    9120÷8=11409120 \div 8 = 1140 Steps:

    1. Divide 91 by 8 → 91 ÷ 8 = 11 (remainder 3)
    2. Bring down the 2 → 32
    3. Divide 32 by 8 → 32 ÷ 8 = 4
    4. Bring down the 0 → 0
      Final answer: 1140
  7. 4536 ÷ 4
    4536÷4=11344536 \div 4 = 1134 Steps:

    1. Divide 45 by 4 → 45 ÷ 4 = 11 (remainder 1)
    2. Bring down the 3 → 13
    3. Divide 13 by 4 → 13 ÷ 4 = 3 (remainder 1)
    4. Bring down the 6 → 16
    5. Divide 16 by 4 → 16 ÷ 4 = 4
      Final answer: 1134
  8. 9720 ÷ 5
    9720÷5=19449720 \div 5 = 1944 Steps:

    1. Divide 97 by 5 → 97 ÷ 5 = 19 (remainder 2)
    2. Bring down the 2 → 20
    3. Divide 20 by 5 → 20 ÷ 5 = 4
      Final answer: 1944
  9. 8640 ÷ 6
    8640÷6=14408640 \div 6 = 1440 Steps:

    1. Divide 86 by 6 → 86 ÷ 6 = 14 (remainder 2)
    2. Bring down the 4 → 24
    3. Divide 24 by 6 → 24 ÷ 6 = 4
    4. Bring down the 0 → 0
      Final answer: 1440
  10. 7560 ÷ 7
    7560÷7=10807560 \div 7 = 1080 Steps:

    1. Divide 75 by 7 → 75 ÷ 7 = 10 (remainder 5)
    2. Bring down the 6 → 56
    3. Divide 56 by 7 → 56 ÷ 7 = 8
    4. Bring down the 0 → 0
      Final answer: 1080

Let me know if you'd like more details or further explanation on any of these. Here are 5 related questions to consider:

  1. How would you approach dividing larger numbers by multi-digit divisors?
  2. What is the relationship between multiplication and division when checking answers?
  3. Can you simplify large division problems using estimation first?
  4. How does long division help in dividing by larger numbers efficiently?
  5. What is the importance of understanding remainders in division?

Tip: When dividing, it's always a good idea to check your work by multiplying the quotient by the divisor to see if you get back to the original number!

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Math Problem Analysis

Mathematical Concepts

Division
Long Division
Arithmetic

Formulas

Dividend ÷ Divisor = Quotient

Theorems

Division Algorithm

Suitable Grade Level

Grades 4-6