4 ESO Academics - Unit 0 - Exercises 0.2

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

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 𝟏𝟏𝟏𝟏𝟏𝟏 + 𝟐𝟐 𝒙𝒙 𝟏𝟏𝟏𝟏𝟏𝟏 + 𝟒𝟒 𝒙𝒙 𝟏𝟏𝟏𝟏

e) 𝟐𝟐 𝒙𝒙 𝟏𝟏𝟏𝟏 𝟏𝟏𝟏𝟏𝟏𝟏 + 𝟕𝟕 𝒙𝒙 𝟏𝟏𝟏𝟏𝟏𝟏𝟏𝟏 + 𝟑𝟑 𝒙𝒙 𝟏𝟏

f) 𝟐𝟐 𝒙𝒙 𝟏𝟏𝟏𝟏𝟏𝟏 + 𝟕𝟕 𝒙𝒙 𝟏𝟏𝟏𝟏 𝟏𝟏𝟏𝟏𝟏𝟏 + 𝟑𝟑 𝒙𝒙 𝟏𝟏𝟏𝟏𝟏𝟏𝟏𝟏 + 𝟗𝟗 𝒙𝒙 𝟏𝟏𝟏𝟏 + 𝟖𝟖 𝒙𝒙 𝟏𝟏

g) 𝟑𝟑 𝒙𝒙 𝟏𝟏𝟏𝟏𝟏𝟏 + 𝟓𝟓 𝒙𝒙 𝟏𝟏𝟏𝟏𝟏𝟏 𝟏𝟏𝟏𝟏𝟏𝟏 + 𝟕𝟕 𝒙𝒙 𝟏𝟏𝟏𝟏 + 𝟓𝟓 𝒙𝒙 𝟏𝟏

h) 𝟖𝟖 𝒙𝒙 𝟏𝟏𝟏𝟏𝟏𝟏 𝟏𝟏𝟏𝟏𝟏𝟏 + 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


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?


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.


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.


UNIT 00 September


UNIT 00 September


Education

4 ESO Academics - Unit 0 - Exercises 0.2