1 ESO - Unit 05 - Exercises 1.5.1 - Decimal Place, Order and Approximations

1. UNIT 05 January
1. Write in words the following numbers:
𝒂𝒂) 𝟎𝟎. 𝟕𝟕
𝒃𝒃) 𝟎𝟎. 𝟎𝟎𝟎𝟎
𝒄𝒄) 𝟎𝟎. 𝟎𝟎𝟎𝟎𝟎𝟎
𝒅𝒅) 𝟏𝟏. 𝟐𝟐
𝒆𝒆) 𝟏𝟏𝟐𝟐. 𝟓𝟓𝟓𝟓
𝒇𝒇) 𝟓𝟓. 𝟏𝟏𝟏𝟏𝟏𝟏
𝒈𝒈) 𝟏𝟏. 𝟎𝟎𝟎𝟎
𝒉𝒉) 𝟓𝟓. 𝟎𝟎𝟎𝟎𝟎𝟎
𝒊𝒊) 𝟐𝟐. 𝟎𝟎𝟎𝟎𝟎𝟎
2. Write with numbers:
a) Eight tenths.
b) Two hundredths.
c) Three thousandths.
d) Thirteen thousandths.
e) Three ones and four tenths.
f) Twelve ones and twenty-five hundredths.
g) Six ones and eight hundredths.
Axel Cotón Gutiérrez Mathematics 1º ESO Exercises – 1.5.1.1

2. UNIT 05 January
h) One and three hundred eleven thousandths.
i) Five ones and fourteen thousandths.
3. Write in words the following numbers:
𝒂𝒂) 𝟎𝟎. 𝟎𝟎𝟎𝟎𝟎𝟎𝟕𝟕
𝒃𝒃) 𝟎𝟎. 𝟎𝟎𝟎𝟎𝟒𝟒𝟒𝟒
𝒄𝒄) 𝟎𝟎. 𝟎𝟎𝟓𝟓𝟖𝟖𝟖𝟖
𝒅𝒅) 𝟎𝟎. 𝟎𝟎𝟎𝟎𝟎𝟎𝟎𝟎𝟎𝟎
𝒆𝒆) 𝟎𝟎. 𝟎𝟎𝟎𝟎𝟎𝟎𝟎𝟎𝟎𝟎
𝒇𝒇) 𝟎𝟎. 𝟎𝟎𝟎𝟎𝟎𝟎𝟎𝟎𝟎𝟎
𝒈𝒈) 𝟎𝟎. 𝟎𝟎𝟎𝟎𝟎𝟎𝟎𝟎𝟎𝟎𝟎𝟎
𝒉𝒉) 𝟎𝟎. 𝟎𝟎𝟎𝟎𝟎𝟎𝟎𝟎𝟎𝟎𝟎𝟎
𝒊𝒊) 𝟎𝟎. 𝟎𝟎𝟎𝟎𝟎𝟎𝟎𝟎𝟎𝟎𝟎𝟎
4. Write with numbers:
a) Fifteen ten thousandths.
b) One hundred eighty-three hundred thousandths.
c) Fifty-eight millionths.
Axel Cotón Gutiérrez Mathematics 1º ESO Exercises – 1.5.1.2

3. UNIT 05 January
5. Look at the table below and answer the questions.
Ones tenths hundredths thousandths ten thousandths
hundred
thousandths
millionths
1 0 0
4 0
2 0 0
3 0 0 0
a) How many thousandths is a tenth?
b) How many hundredths are in 40 thousandths?
c) How many hundredths are in 200 ten thousandths?
d) How many millionths are in 3 thousandths?
6. Complete:
tenths hundredths thousandths ten thousandths
3 30
0.5 50
1.2
7. Write down the values of A and B on the following number lines.
Axel Cotón Gutiérrez Mathematics 1º ESO Exercises – 1.5.1.3

4. UNIT 05 January
8. Place the following decimal numbers in the number line.
𝑨𝑨 = 𝟑𝟑 𝑩𝑩 = 𝟑𝟑. 𝟒𝟒 𝑪𝑪 = 𝟑𝟑. 𝟕𝟕𝟕𝟕 𝑫𝑫 = 𝟒𝟒
9. Place these numbers in order from lowest to highest
𝒂𝒂) 𝟓𝟓. 𝟖𝟖𝟖𝟖; 𝟓𝟓. 𝟓𝟓𝟓𝟓; 𝟓𝟓. 𝟎𝟎𝟎𝟎; 𝟓𝟓. 𝟓𝟓𝟓𝟓𝟓𝟓; 𝟓𝟓. 𝟒𝟒𝟕𝟕
𝒃𝒃) 𝟎𝟎. 𝟏𝟏; 𝟎𝟎. 𝟎𝟎𝟎𝟎; 𝟎𝟎. 𝟎𝟎𝟎𝟎𝟎𝟎; 𝟎𝟎. 𝟏𝟏𝟏𝟏; 𝟎𝟎. 𝟎𝟎𝟎𝟎𝟎𝟎
𝒄𝒄) 𝟎𝟎. 𝟓𝟓; −𝟎𝟎. 𝟖𝟖; −𝟎𝟎. 𝟐𝟐; 𝟏𝟏. 𝟎𝟎𝟎𝟎; −𝟏𝟏. 𝟏𝟏
10. Write a number between the two numbers
𝒂𝒂) 𝟐𝟐. 𝟔𝟔 < < 𝟐𝟐. 𝟖𝟖
𝒃𝒃) 𝟎𝟎. 𝟑𝟑 < < 𝟎𝟎. 𝟓𝟓
𝒄𝒄) 𝟏𝟏. 𝟐𝟐𝟐𝟐 < < 𝟏𝟏. 𝟐𝟐𝟐𝟐
𝒅𝒅) 𝟕𝟕 < < 𝟖𝟖
𝒆𝒆) 𝟎𝟎. 𝟒𝟒 < < 𝟎𝟎. 𝟓𝟓
𝒇𝒇) 𝟑𝟑. 𝟒𝟒𝟐𝟐 < < 𝟑𝟑. 𝟒𝟒𝟒𝟒
Axel Cotón Gutiérrez Mathematics 1º ESO Exercises – 1.5.1.4

5. UNIT 05 January
11. Write a number between the two numbers.
𝒂𝒂) 𝟐𝟐. 𝟗𝟗𝟗𝟗 𝒂𝒂𝒏𝒏𝒏𝒏 𝟑𝟑
𝒃𝒃) 𝟒𝟒 𝒂𝒂𝒏𝒏𝒏𝒏 𝟒𝟒. 𝟏𝟏
𝒄𝒄) 𝟑𝟑. 𝟏𝟏 𝒂𝒂𝒏𝒏𝒏𝒏 𝟑𝟑. 𝟏𝟏𝟏𝟏
𝒅𝒅) 𝟎𝟎. 𝟓𝟓 𝒂𝒂𝒏𝒏𝒏𝒏 𝟎𝟎. 𝟓𝟓𝟓𝟓
𝒆𝒆) 𝟎𝟎. 𝟓𝟓𝟓𝟓𝟓𝟓 𝒂𝒂𝒏𝒏𝒏𝒏 𝟎𝟎. 𝟓𝟓𝟓𝟓𝟓𝟓
𝒇𝒇) 𝟏𝟏. 𝟗𝟗𝟗𝟗𝟗𝟗 𝒂𝒂𝒏𝒏𝒏𝒏 𝟐𝟐
12. Round off to ones:
𝒂𝒂) 𝟓𝟓. 𝟏𝟏𝟏𝟏
𝒃𝒃) 𝟑𝟑. 𝟔𝟔𝟓𝟓
𝒄𝒄) 𝟗𝟗. 𝟗𝟗𝟗𝟗
𝒅𝒅) 𝟎𝟎. 𝟕𝟕𝟓𝟓
𝒆𝒆) 𝟏𝟏. 𝟎𝟎𝟎𝟎𝟎𝟎
𝒇𝒇) 𝟑𝟑. 𝟗𝟗𝟗𝟗𝟗𝟗
13. Round off to 1 decimal place:
𝒂𝒂) 𝟔𝟔. 𝟐𝟐𝟐𝟐
𝒃𝒃) 𝟑𝟑. 𝟖𝟖𝟖𝟖
𝒄𝒄) 𝟐𝟐. 𝟗𝟗𝟗𝟗
𝒅𝒅) 𝟎𝟎. 𝟎𝟎𝟗𝟗𝟗𝟗
𝒆𝒆) 𝟎𝟎. 𝟑𝟑𝟒𝟒𝟒𝟒
𝒇𝒇) 𝟎𝟎. 𝟖𝟖𝟖𝟖𝟖𝟖
14. Round off to 2 decimal places:
𝒂𝒂) 𝟎𝟎. 𝟓𝟓𝟓𝟓𝟓𝟓
𝒃𝒃) 𝟏𝟏. 𝟐𝟐𝟐𝟐𝟐𝟐
𝒄𝒄) 𝟓𝟓. 𝟎𝟎𝟎𝟎𝟎𝟎
𝒅𝒅) 𝟑𝟑. 𝟎𝟎𝟎𝟎𝟎𝟎𝟎𝟎
𝒆𝒆) 𝟖𝟖. 𝟎𝟎𝟎𝟎𝟎𝟎𝟎𝟎
𝒇𝒇) 𝟐𝟐. 𝟗𝟗𝟗𝟗𝟗𝟗
Axel Cotón Gutiérrez Mathematics 1º ESO Exercises – 1.5.1.5