Mathematics 6

1. PLACE VALUE

2. Place Value
• It tells the position of a digit in a
number.
Example:
785 – 8 is in the tens place
1,392 – 1 is in the thousands place
2,134,735 – 2 is in the millions place

3. Trillions Billions Millions Thousands Units
Hundreds
Tens
Ones
Hundreds
Tens
Ones
Hundreds
Tens
Ones
Hundreds
Tens
Ones
Hundreds
Tens
Ones
9 3 9 7 7 2 8 1 7 4 2 1 3
• The digits in a number
are grouped into
periods.
• The digit in the trillions place
means 9 × 1 000 000 000 000.
Its value is 9 000 000 000 000.
• The value of a digit is
found by multiplying
the digit by its place
value.

4. • Numbers can be written in words,
as well as in standard form,
expanded form, or exponential
form.

5. Standard Form: 9,397,728,174,213
In words:
Nine trillion, Three hundred ninety-seven billion,
Seven hundred twenty-eight million, One hundred
seventy-four thousand, Two hundred thirteen
Expanded Form:
9,000,000,000,000 + 300,000,000,000 +
90,000,000,000 +7,000,000,000 +700,000,000
+ 20,000,000 + 8,000,000 + 100,000 + 70,000 +
4,000 +200 + 10 + 3
Exponential Form:
(9×1012) + (3×1011) + (9×1010) + (7×109)+ (7×108) +
(2×107) + (8×106) + (1×105) + (7×104) + (4×103) +
(2×102) + (1×10) + (3)

6. Practice
Write in words, expanded form and
exponential form.
• 3,982,673
In words:
Expanded form:
Exponential form:

7. Assignment
Let Us Practice: Get Ready,
Work Together, Work Alone and Let
Us Solve page 4 to 6.