4. Write 2.67 in expanded form using
a) Place value and fractions
6 7
2+ + 100
10
b) Place value and negative exponents
2 + 6 · 10-1 + 7 · 10-2
5. Express 4.32 as a single fraction.
Say it Four and thirty-two hundredths
32 432 4 108
Write it 4 100 100 4 25
Simplify it
6. 3
Express as a decimal.
20
Method 1: Use proportions Method 2: Use division
x5 0. 15
3 15 20 3.0
20 100 20
100
x5 100
0
0.15
7. A terminating decimal is a decimal number that can
be written with a finite number of digits.
24.777 terminates
24.777… repeats
8. A rational number can be written as a
terminating decimal if the only prime factors of
its denominator are 2 and/or 5.
Note: the fraction must be simplified before
looking at its denominator.
Does the fraction represent a terminating
decimal? 40
7 8 5
terminates 4 2
40
2 2
9. Does the fraction represent a terminating decimal?
9 3 3
terminates
30 3 10
5 5 1
repeats
30 5 6
8
1 4 2
terminates 2 2
8
10. Order the numbers from least to greatest:
3.64, 3.6, 3.649, 3.613
3 3.64 0
1 3.6 00
4 3.649
2 3.613
3.6, 3.613, 3.64, 3.649
11. Scientific Notation
integer
n x 10r
1 n < 10
Scientific Notation: NOT Scientific Notation:
3.603 x 107 32.63 x 104
4.01 x 10-3 3.12 x 10-1.5
12. Write 36,500 in scientific notation
36500
3 6 5 0 0 = 3.65 x 104
Write 0.024 in scientific notation
0. 0 2 4
0 . 0 2 4 = 2.4 x 10-2
13. Operations on Decimals
Addition and Subtraction – Why do we line up the
decimal points?
2.13 + 4.5
Expanded form
1 3
2.13 2+ +
10 100
5
4.5 4+
10
6 3
6+ + = 6.63
10 100
