الأربعاء، 4 ديسمبر 2024

Tenths and Hundredths /Educational Support Center – Math – Grade 5

 




Lesson 1: Tenths and Hundredths


  1. Write each fraction or mixed number as a decimal.

a) b) 4 c)

d) e) f) 41


  1. Write each decimal as a fraction or mixed number.

a) 17.02 b) 8.4 c) 0.13

d) 1.34 e) 0.91 f) 6.7


  1. Use the numbers 3, 6, and 9.
    Make as many decimals as you can.



Lesson 2: Equivalent Decimals


  1. Colour hundredths grids to show each decimal.
    Write an equivalent decimal.

a) 1.6 b) 0.40 c) 2.1


  1. Write an equivalent decimal for each decimal.

a) 9.70 b) 4.3 c) 2.20

d) 0.8 e) 0.10 f) 18.5


  1. Circle the equivalent decimals in each group.

a) 0.3      0.30      0.03 b) 2.01        2.1        2.10

c) 9.7      9.70      9.07 d) 15.3      15.03     15.30





 

Extra Practice 2


Lesson 3: Exploring Thousandths


1. Write each number as a decimal.


a) b) 4 c) 6


d) 19 e) f) 4


2. Write each decimal as a fraction or mixed number.


a) 0.436 b) 5.016 c) 13.004


d) 10.102 e) 7.019 f) 4.3



Lesson 4: Comparing and Ordering Decimals


1. Use >, <, or =.


a) 2.537       2.58 b) 0.607       0.601


c) 1.42       1.413 d) 2.6       2.600


2. Order the numbers from greatest to least.


a) 0.439, 1.004, 0.37 b) 2.83, 1.9, 0.297


c) 6.237, 6.019, 6.284 d) 3.105, 3.6, 5.12


3. Write a number between 2.358 and 2.361.






 

Extra Practice 3


Lesson 5: Rounding Decimals


1. Round to the nearest whole number.


a) 3.764 b) 0.635 c) 7.014 d) 2.535


e) 1.862 f) 17.412 g) 3.5 h) 6.28


2. Round to the nearest tenth.


a) 8.64 b) 7.235 c) 0.062 d) 7.317


e) 17.68 f) 145.25 g) 1.423 h) 8.004


3. Round to the nearest hundredth.


a) 3.456 b) 7.318 c) 6.994 d) 33.333


e) 18.024 f) 2.587 g) 0.328 h) 1.451



Lesson 6: Estimating Sums and Differences


1. Estimate each sum.


a) 8.1 + 7.2 b) 6.51 + 4.03 c) 7.358 + 2.71


d) 4.758 + 3.164 e) 0.943 + 0.995 f) 3.568 + 2.541


2. Estimate each difference.


a) 26.18 – 20.92 b) 5.384 – 2.111 c) 8.43 – 2.251


d) 2.205 – 0.973 e) 6.275 – 1.184 f) 7.042 – 3.962





 

Extra Practice 4


Lesson 7: Adding and Subtracting Decimals


1. Add.

a)     2.68       b)     29.368 c)     0.286 d)     8.937

      + 9.34           + 84.975     + 4.972     + 9.486




2. Subtract

a)    5.62       b)     3.007 c)     6.857 d)     25.305

       – 1.95             – 2.458       – 3.927       – 14.487




3. Add or subtract.

a) 9.7 + 8.48 b) 0.934 – 0.48 c) 7 + 3.485


d) 58.246 + 31.8 e) 97.04 – 53.256 f) 0.53 – 0.145



Lesson 8: Dividing Decimals by 10, 100 and 1000


Use mental math to find each quotient.


1. a) 4.5 ÷10 b) 7.62 ÷10 c) 0.974 ÷10

4.5 ÷100     7.62 ÷100     0.974 ÷100

4.5 ÷1000     7.62 ÷1000     0.974 ÷1000


2. a) 6 ÷ 10 b) 7.4 ÷ 1000 c) 3.497 ÷ 100

d) 5.8 ÷ 100 e) 17 ÷ 1000 f) 143.946 ÷ 1000


3. One thousand new pennies have a mass of 2350 g.

What is the mass of one penny?


4. One hundred new 50-cent coins have a mass of 690 g.

What is the mass of one 50-cent coin?





 

Extra Practice 5


Lesson 9: Multiplying Whole Numbers by 0.1, 0.01, and 0.001


Use mental math to find each product


1. a) 25 × 0.1 b) 4 × 0.1 c) 145 × 0.1

25 × 0.01 4 × 0.01 145 × 0.01

25 × 0.001 4 × 0.001 145 × 0.001


2. a) 3 × 0.01 b) 7 × 0.1 c) 127 × 0.001

d) 58 × 0.1 e) 136 × 0.001 f) 1568 × 0.01


3. Use mental math.

a) 5 × 0.1 b) 16 × 0.01 c) 127 × 0.001

  5 ÷ 10 16 ÷ 100 127 ÷ 1000







Extra Practice Answers


Extra Practice 1 – Master 4.22

Lesson 1 

1. a) 0.17 b) 4.3 c) 0.02

d) 0.9 e) 0.99 f) 41.07

2. a) 17 b) 8 c)

d) 1 e) f) 6

3. 0.369, 0.396, 0.639, 0.693, 0.936, 0.963, 3.69, 3.96, 6.39, 6.93, 9.36, 9.63, 36.9, 39.6, 63.9, 69.3, 93.6, 96.3


Lesson 2

1. a) 1.60 b) 0.4 c) 2.10

2. a) 9.7 b) 4.30 c) 2.2

d) 0.80 e) 0.1 f) 18.50

3. a) 0.3 and 0.30 b) 2.1 and 2.10

c) 9.7 and 9.70 d) 15.3 and 15.30


Extra Practice 2 – Master 4.23

Lesson 3

1. a) 0.291 b) 4.173 c) 6.008

d) 19.03 e) 0.017 f) 4.6

2. a) b) 5 c) 13

d) 10 e) 7 f) 4


Lesson 4

1. a) 2.537 < 2.58 b) 0.607 > 0.601

c) 1.42 > 1.413 d) 2.6 = 2.600


2. a) 1.004, 0.439, 0.37 b) 2.83, 1.9, 0.297

c) 6.284, 6.237, 6.019 d) 5.12, 3.6, 3.105


3. 2.359 or 2.360


Extra Practice 3 – Master 4.24

Lesson 5

1. a) 4 b) 1 c) 7 d 3

e) 2 f) 17 g) 4 h) 6

2. a) 8.6 b) 7.2 c) 0.1 d) 7.3

e) 17.7 f) 145.3 g) 1.4 h) 8.0

3. a) 3.46 b) 7.32 c) 6.99 d) 33.33

e) 18.02 f) 2.59 g) 0.33 h) 1.45

Lesson 6

1. a) about 15 b) about 10.5 c) about 10

d) about 8 e) about 2 f) about 6

2. a) about 5 b) about 3 c) about 6

d) about 1 e) about 5 f) about 3


Extra Practice 4 – Master 4.25

Lesson 7

1. a) 12.02 b) 114.343 c) 5.258 d) 18.423

2. a) 3.67 b) 0.549        c) 2.93 d) 10.818

3. a) 18.18 b) 0.454 c) 10.485

d) 90.046 e) 43.784 f) 0.385


Lesson 8

1. a) 0.45, 0.045, 0.0045

b) 0.762, 0.0762, 0.00762

c) 0.0974, 0.00974, 0.000974

2. a) 0.6 b) 0.0074 c) 0.03497

d) 0.058 e) 0.017 f) 0.143946

3. 2.35 g

4. 6.9 g


Extra Practice 5 – Master 4.26

Lesson 9

1. a) 2.5, 0.25, 0.025

b) 0.4, 0.04, 0.004

c) 14.5, 1.45, 0.145

2. a) 0.03 b) 0.7 c) 0.127

d) 5.8 e) 0.136 f) 15.68

3. a) 0.5, 0.5 b) 0.16, 0.16 c) 0.127, 0.127



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