Book Simulation: Unit 1 (Pages 4

Unit 1 Numbers

Numerals	Numbers in words
5	Five
15	Fifteen
55	Fifty-five
237	Two hundred thirty-seven
1826	One thousand, eight hundred twenty-six
14536	Fourteen thousand, five hundred thirty-six
275508	Two hundred seventy-five thousand, five hundred eight
3000000	Three millions

1- Write these words in the standard form.

a) Fourteen thousand, three hundred nine: 14,309
b) Thirty three thousand, one hundred ten: 33,110
c) Two million, seven thousand, twenty-two: 2,007,022

2- Express these numerals in words.

a) 732555: Seven hundred thirty-two thousand, five hundred fifty-five
b) 2100321: Two million, one hundred thousand, three hundred twenty-one
c) 75169: Seventy-five thousand, one hundred sixty-nine

▶ Expanded Notation

Writing a number to show the value of each digit.
It is shown as a sum of each digit value.

5732 = 5 thousands + 7 hundreds + 3 tens + 2 ones
= 5000 + 700 + 30 + 2

3- Write the following numbers in expanded form.

a) 32701 = 30000 + 2000 + 700 + 1
b) 8035 = 8000 + 30 + 5

1.2 Positive and Negative Numbers

Look at these examples.

1- Temperature below zero degree.

2- The basement floor in a building.

3- When you borrow money from your friend.

4- Elevations below sea level.

Elevator Keypad

-1

-2

We noticed that there are numbers less than zero (below zero).
Look at the number line. We call them negative numbers and use the negative sign (-) with them.

Use > or < in the and show which one on the right on the number line:

a) (-2) < 4 : 4 is greater than (-2)
4 is on the right side of (-2) on the number line.

b) (-12) < (-3) : (-3) is greater than (-12).
(-3) is on the right side of (-13) on the number line.

Use > or < in with reasoning:

a) 314 > (-973).

Reason: Positive is always greater than negative.

c) 0.01 > (-72).

Reason: 0.01 is to the right of -72.

b) (-1) < (−¹⁄₂).

Reason: -0.5 is closer to zero than -1.

d) (0) > (-82).

Reason: Zero is greater than negative numbers.

1.3 Ordering Numbers

Ascending order: the ordering from smallest (first) to greatest (last)

32751 , 345167 , 430012

smallest greatest

Descending order: the ordering from greatest (first) to smallest (last)

430012 , 345167 , 32751

greatest smallest

1- Arrange the digits 0, 2, 4, 6, 8 to make the greatest number you can:
Greatest: 86420 then make the smallest one:
Smallest: 20468

2- Arrange the numbers in ascending order:

a) 73215 , 89321 , (-77510) , 100100.

(-77510) , 73215 , 89321 , 100100

b) (-8753) , (-75091) , (-560) , 98.

(-75091) , (-8753) , (-560) , 98

3- Arrange the numbers in ascending order:

a) 632101 , 63211 , 750310 , (-321).

(-321) , 63211 , 632101 , 750310

b) (-7732) , (-982) , 98 , (-10000).

(-10000) , (-7732) , (-982) , 98

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