The document contains 10 math exercises with multiple parts each. Exercise 1 involves identifying place values of digits in numbers. Exercise 2 involves writing place values of digits in multi-digit numbers. Exercise 3 involves forming the largest possible numbers using given digits. Exercise 4 involves expressing numeric expressions in simplest form. Exercise 5 involves writing numbers in expanded form. Exercise 6 involves writing numbers in word form as numerals. Exercise 7 involves performing comparisons on numbers. Exercise 8 analyzes place values in a large number. Exercise 9 assigns values to place values in a number. Exercise 10 translates large numbers expressed in words to numerals.

1. UNIT 00 September
1. What number is represented by the digit 8 in the following in the decimal system?
a) 38
b) 81
c) 458
d) 847
e) 1,981
f) 8,247
g) 2,861
h) 28,902
i) 60,008
j) 84,019
k) 78,794
l) 189,964
2. Write down the place value of the 3, the 5 and the 8 in each of the following:
a) 53,486
b) 3,580
c) 50,083
d) 805,340
Axel Cotón Gutiérrez Mathematics 4º ESO Exercises - 0.2.1

2. UNIT 00 September
3.
a) Use the digits 6, 4 and 8 once only to make the largest number you can.
b) Write the largest number you can using the digits 4, 1, 0, 7, 2 and 9 once only.
c) What is the largest 6 digit numeral you can write using each of the digits 2, 7 and 9
twice?
d) How many different numbers can you write using the digits 3, 4 and 5 once only?
4. Express the following in simplest form:
a) 𝟖𝟖 𝒙𝒙 𝟏𝟏𝟏𝟏 + 𝟔𝟔 𝒙𝒙 𝟏𝟏
b) 𝟔𝟔 𝒙𝒙 𝟏𝟏𝟏𝟏𝟏𝟏 + 𝟕𝟕 𝒙𝒙 𝟏𝟏𝟏𝟏 + 𝟒𝟒 𝒙𝒙 𝟏𝟏
c) 𝟗𝟗 𝒙𝒙 𝟏𝟏𝟏𝟏𝟏𝟏𝟏𝟏 + 𝟔𝟔 𝒙𝒙 𝟏𝟏𝟏𝟏𝟏𝟏 + 𝟑𝟑 𝒙𝒙 𝟏𝟏𝟏𝟏 + 𝟖𝟖 𝒙𝒙 𝟏𝟏
d) 𝟓𝟓 𝒙𝒙 𝟏𝟏𝟏𝟏 𝟎𝟎𝟎𝟎𝟎𝟎 + 𝟐𝟐 𝒙𝒙 𝟏𝟏𝟏𝟏𝟏𝟏 + 𝟒𝟒 𝒙𝒙 𝟏𝟏𝟏𝟏
e) 𝟐𝟐 𝒙𝒙 𝟏𝟏𝟏𝟏 𝟎𝟎𝟎𝟎𝟎𝟎 + 𝟕𝟕 𝒙𝒙 𝟏𝟏𝟏𝟏𝟏𝟏𝟏𝟏 + 𝟑𝟑 𝒙𝒙 𝟏𝟏
f) 𝟐𝟐 𝒙𝒙 𝟏𝟏𝟏𝟏𝟏𝟏 + 𝟕𝟕 𝒙𝒙 𝟏𝟏𝟏𝟏 𝟎𝟎𝟎𝟎𝟎𝟎 + 𝟑𝟑 𝒙𝒙 𝟏𝟏𝟏𝟏𝟏𝟏𝟏𝟏 + 𝟗𝟗 𝒙𝒙 𝟏𝟏𝟏𝟏 + 𝟖𝟖 𝒙𝒙 𝟏𝟏
g) 𝟑𝟑 𝒙𝒙 𝟏𝟏𝟏𝟏𝟏𝟏 + 𝟓𝟓 𝒙𝒙 𝟏𝟏𝟏𝟏𝟏𝟏 𝟎𝟎𝟎𝟎𝟎𝟎 + 𝟕𝟕 𝒙𝒙 𝟏𝟏𝟏𝟏 + 𝟓𝟓 𝒙𝒙 𝟏𝟏
h) 𝟖𝟖 𝒙𝒙 𝟏𝟏𝟏𝟏𝟏𝟏 𝟎𝟎𝟎𝟎𝟎𝟎 + 𝟗𝟗 𝒙𝒙 𝟏𝟏𝟏𝟏𝟏𝟏𝟏𝟏 + 𝟑𝟑 𝒙𝒙 𝟏𝟏𝟏𝟏𝟏𝟏 + 𝟐𝟐 𝒙𝒙 𝟏𝟏
5. Write in expanded form:
a) 975
b) 680
c) 3,874
d) 9,083
e) 56,742
f) 75,007
g) 600,829
Axel Cotón Gutiérrez Mathematics 4º ESO Exercises - 0.2.2

3. UNIT 00 September
h) 354,718
6. Write the following in numeral form:
a) twenty seven
b) eighty
c) six hundred and eight
d) one thousand and sixteen
e) eight thousand two hundred
f) nineteen thousand five hundred and thirty-eight
g) seventy five thousand four hundred and three
h) six hundred and two thousand eight hundred and eighteen
7. What number is:
a) one less than eight
b) two more than eleven
c) four more than seventeen
d) one less than three hundred
e) seven greater than four thousand
f) 3 less than 10,000
g) four more than four hundred thousand
h) 26 more than two hundred and nine thousand?
8. The number 372,474 contains two 7s and two 4s.
a) How many times larger is the first 7 compared with the second 7?
b) How many times smaller is the second 7 compared with the first 7?
c) Which of the 4s represents a larger number? By how much is it larger than the
other one?
Axel Cotón Gutiérrez Mathematics 4º ESO Exercises - 0.2.3

4. UNIT 00 September
9. In the number 53,479,682 the digit 9 has the value 9,000 and the digit 3 has the value
3,000,000. Give the value of the other numbers.
10. Read the following stories about large numbers. Write each large number using
numerals.
a) A heart beating at a rate of 70 beats per minute would beat about thirty seven
million times in a year.
b) Austria’s largest hamburger chain bought two hundred million bread buns and used
seventeen million kilograms of beef in one year.
c) The Jurassic era was about one hundred and fifty million years ago.
d) One hundred and eleven million, two hundred and forty thousand, four hundred
and sixty three dollars and ten cents was won by two people in a Powerball Lottery
in Wisconsin USA in 1993.
Axel Cotón Gutiérrez Mathematics 4º ESO Exercises - 0.2.4

5. UNIT 00 September
e) A total of twenty one million, two hundred and forty thousand, six hundred and
fifty-seven Volkswagen ‘Beetles’ had been built to the end of 1995.
f) In a lifetime the average person will blink four hundred and fifteen million times.
g) One Megabyte of data on a computer is one million, forty-eight thousand, five
hundred and seventy-six bytes.
Axel Cotón Gutiérrez Mathematics 4º ESO Exercises - 0.2.5

6. UNIT 00 September
Axel Cotón Gutiérrez Mathematics 4º ESO Exercises - 0.2.6

7. UNIT 00 September
Axel Cotón Gutiérrez Mathematics 4º ESO Exercises - 0.2.7