LearnArithmeticThe four operations

Addition and subtraction of numbers

Exercises

Problem set

Find the values of the following by showing your work using the number line.

  1. 6 + 3
  2. 5 - 3
  3. 4 - 8
  4. 3 - 5
  5. 5 - 9

Problem set

Find the values of the following by showing your work using the number line.

  1. -2 + 5
  2. -7 + 6
  3. -5 + 7
  4. -11 + 5
  5. -3 + 10

Problem set

Find the values of the following by showing your work using the number line.

  1. -2 - 3
  2. -5 - 4
  3. -3 - 3

Problem set

Evaluate each of the following.

  1. -1001 + 10001
  2. -999 + 5100
  3. -9999 + 5100
  4. -10001 + 1001
  5. -23456 + 23456

Problem set

Evaluate each of the following.

  1. 9999 - 5100
  2. 10001 - 1001
  3. 23456 - 23456
  4. 1001 - 10001
  5. 999 - 5100

Problem set

Evaluate each of the following.

  1. -9999 - 5100
  2. -10001 - 1001
  3. -23456 - 23456
  4. -1001 - 10001
  5. -999 - 5100

Problem set

Evaluate each of the following.

  1. 10 + (-15)
  2. -4 + (-7)
  3. -500 + (-600)
  4. 400 + (-950)

Multiplication and division of numbers

Exercises

Problem set

Evaluate each of the following.

  1. 3 \times 10
  2. -3 \times 10
  3. 10 \times (-3)
  4. (-3) \times (-10)
  5. 150 \times 20
  6. -150 \times 20
  7. 150 \times (-20)
  8. (-150) \times (-20)

Problem set

Evaluate each of the following.

  1. 35 \div 7
  2. -35 \div 7
  3. 35 \div (-7)
  4. -35 \div (-7)
  5. 150 \div 3
  6. -150 \div 3
  7. 150 \div (-3)
  8. -150 \div (-3)

Addition and subtraction with parentheses

Exercises

Problem set

For each of the following, write in a simplified form without the parentheses.

  1. -(3)
  2. -(+5)
  3. +(-7)
  4. +(-6)
  5. -(-8)
  6. -(-4)

Problem set

Evaluate each of the following.

  1. 11 + (-3)
  2. 51 + (-43)
  3. 65 + (-47)
  4. 100 + (-200)
  5. 23 + (-57)
  6. 38 + (-53)

Problem set

Evaluate each of the following.

  1. -10 + (-3)
  2. -200 + (-51)
  3. -121 + (-21)
  4. -77 + (-16)

Problem set

Evaluate each of the following.

  1. 5 - (+20)
  2. 45 -(+20)
  3. -10 - (+9)
  4. -31 - (+21)
  5. -52 - (+34)

Problem set

Evaluate each of the following.

  1. 11 - (-5)
  2. 20 - (-8)
  3. 65 - (-47)
  4. 73 - (-27)

Problem set

Evaluate each of the following.

  1. -7 - (-3)
  2. -21 - (-14)
  3. -45 - (-100)
  4. -85 - (-200)

Miscellaneous

Exercises

Problem set

Evaluate each of the following in two different sequences. The first would be in the left-to-right sequence as suggested by PEMDAS. The second sequence is your choice. For example, you may first add all the numbers with “+” in front of them and separately add all numbers with “-” in front of them.

  1. 23 - 103 - 150 + 40 + 55 - 35
  2. -103 - 23 - 45 + 65 + 90 - 80
  3. 23 - 103 + 103 - 23 + 40 - 55
  4. - 103 + 23 - 54 + 100 - 23 + 54

Problem set

For the first two problems below, figure out what comes in place of ?. Hint: Use distributive property namely a\times (b+c) = (a\times b) + (a\times c)

  1. -14,543,751 \times (723,452,231 + 14,543,751) = -14,543,751 \times 723,452,231 + ?\times 14,543,751
  2. (-514,325 + 714,925) \times 617,824 = -514,325\times 617,824 + ?\times 617,824
  3. (-514,325 \times 714,925) \times 617,824 \stackrel{?}{=} (-514,325\times 617,824) \times (714,925 \times 617,824)
  4. (-514,325 \times 714,925) + 617,824 \stackrel{?}{=} (-514,325 + 617,824) \times (714,925 + 617,824)
  5. Brad and Bill were two small farmers that took their produce every Friday to a market. Brad had certain number of hens in his farm. Each of his hens laid 6 eggs in a week. Bill did not have any hens, but since they both decided to produce the same number of eggs each week, Bill went ahead and bought some hens. His hens also gave 6 eggs each week. At the end of the first week, Bill counted his eggs and found them to be 30 less than what Brad’s hens produced in that week. Does Bill have less number of hens than Brad? If so, how many hens less does he have?