OPERATIONS WITH DECIMALS WORKSHEET

Add and subtract the following decimals

Find :

Problem 1 :

a)  0.8 + 0.23

b)  0.17 + 1.36

c)  0.076 + 0.61

d)  11.56 + 8.072

Solution

Problem 2 :

a) 38.76, 132.8 and 9.072

b) 18.61, 236.9 and 1072.4

Solution

Problem 3 :

a)  2.6 – 1.7

b)  1 – 0.3

c)  3.2 – 0.65

d)  1.00 – 0.99

Solution

Subtract :

Problem 4 :

a)  8.615 from 19.837

b)  14.86 from 28.79

Solution

Problem 5 :

A 20 m length of rope is cut into 4 pieces. Three of the pieces have lengths 5.62 m, 8.05 m, and 2.6 m. Find the Length of the fourth pieces.

Solution

Problem 6 :

A weightlifter snatches 135.8 kg, 142.9 kg, and 153.7 kg in consecutive lifts. Find the total mass lifted.

Solution

Problem 7 :

A large envelope contains only $5 bills. The total value of the $5 bills is $2,435. Which equation can be used to find the number of $5 bills in the envelope?

a) 2,435 ÷ 5 = 487      b) 2,435 × 5 = 12,175     c) 2,435 + 5 = 2,440

d)  2,435 - 5 = 2,430

Solution

Problem 8 :

Ms. Lanford buys and sells used clothes. Ms. Lanford bought a dress, a sweater, and shorts for a total of $12.00. She then sold each item for the price shown in the list.

Solution

Problem 9 :

Lindsey purchased one pet carrier that cost $21.89 and 2 bags of cat food that cost $16.49 each. What was the total cost of these items?

a) $54.87      b) $38.38      c) $43.67      d) $32.98

Solution

Problem 10 :

Della wrote a number:

  • The digit in the hundredths place is a 4.
  • The digit in the thousands place is a 7.
  • The digit in the tenths place is a 2.

Which number could be the number Della wrote?

a) 537,106.24      b) 17,420      c) 27,389.04      d) 70.24

Solution

Problem 11 :

At the beginning of the month, Jim's bank balance was $275.38. During the month he wrote the following checks: $174.89, $68, and $57.76. He made deposits of $250 and $350. Find his bank balance at the end of the month.

Solution

Problem 12 :

Rudy drove his car 9,600 miles last year. His total car expenses were $625 for the year. Find the average cost per mile. (Round off your answer to the nearest hundredth)

Solution

Answer Key

1) 

a)  1.03

b)  1.53

c)  0.686

d)  19.632

2) 

a) 180.632

b) 1327.91 

3)  

a) 0.99

b) 2.55

c) 0.7

d) 0.07

4)  a) 11.222

b)  13.93

5)  the length of the fourth piece is 3.73 m.

6)  432.4 kg

7) 487

8)  32.50

9)  54.87

10)  537,106.24, option a

11)  $574.74

12) 0.065 per mile.

Multiply the following decimals

Problem 1 :

Find :

a)  38 x 10

b)  9 x 100

c)  3.2 x 10

d)  0.8 x 10

e)  0.71 x 100

f)  2.8 x 100

g)  0.6 x 100

h)  0.83 x 100

i) 1.89 x 104

j)  0.053 x 103

k) 0.0583 x 1000

l) 0.187 x 100000

Solution

Problem 2 :

a)  9.6 ÷ 10 =

b)  16.08 ÷ 10 =

c)  132.22 ÷ 10 =

d)  78.2 ÷ 10 =

e)  9.6 ÷ 100 =

f)  16.08 ÷ 20 =

g) 132.22 ÷ 100 =

h)  78.2 ÷ 20 =

Solution

Answer Key

1)

a)  380

b)  900

c)  32

d)  8

e)  71

f)  280

g)  60

h)  83

i)  18900

j)  53

k)  58.3

l)  18700

2) 

a)   0.96

b) 1.608

c)  13.222

d)  7.82

e)  0.096

f)  0.804

g) 1.3222

h)  1.3222

i)  3.91

Problem 1 :

Find :

a)  89 ÷ 10

b)  463 ÷ 10

c)  463 ÷ 1000

d) 463 ÷ 10000

e)  0.8 ÷ 1000

f)  0.73 ÷ 100

g)  0.07 ÷ 100

h)  0.083 ÷ 1000

i) 0.0028 ÷ 10000

j) 0.00051 ÷ 10000

Solution

Problem 2 :

Usain Bolt won 3 gold medals in the Track and Field events in the 2012 Olympics in London. 

a) Bolt ran the 200 meters in 19.32 seconds. If he ran 100 meters at that pace, what would his 100 meter time be?

b) For 100 meters, what’s the difference between Usain’s 100 meter pace and his 200 meter pace?

c) Four Jamaican runners ran the men’s 4 × 100 meter relay with a time of 36.84. If each ran the same speed, what would one runner’s time have been?

d) If the relay runners could run as fast as Bolt did in his individual 100 meter race, would their relay time have been faster or slower? By how much?

Solution

Problem 3 :

Solve the multiplication and division problems below.

a)  62 ÷ 100 = _________

b)  0.43 × 100 = _________

c)  3.4 × 1000 = _________

d)  0.08 × 0.01 = _________

e)  7.89 ÷ 0.10 = _________

f)  123.05 ÷ 100 = _________

Solution

Problem 4 :

Ramon bought erasers shaped like animals to give away at Family Night at his school. Each eraser costs $0.10. If he spent $25.60, how many erasers did he buy?

Write a division equation to represent this situation.

Solution

Answer Key

1)

a)  8.9

b)  46.3

c)  0.463

d)  0.0463

e)  0.0008

f)  0.0073

g)  0.0007

h)  0.000083

i)  0.00000028

j)  0.000000051

2)  

a) 9.66 seconds

b) He is taking half of the time.

c) 9.21 seconds

d) Each individual will take 9.21 seconds. Usain Bolt is taking 9.66 seconds. So, Jamiacan is faster than Bolt.

3)  a)  0.62

b) 0.0043

c) 0.0034

d) 0.0008

e)  78.9

f)  1.2305

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