Numberlines
Decimals are fractions with denominators that are powers of 10
n/10 (tenths place)
n/100 (hundredths place)
0---l---l---l---l---l---l---l---l---l---1 (tenths)
0.4---l---l---l---l---l---l---l---l---l---0.5 (hundredths)
Equivalent - looks different, same value
2/10 = 20/100
0.2 = 0.20
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Compare fractions
Rule: same denominator
Compare decimals
Rule: Line up the place values
Compare fractions to decimals
Rule: Express them the same (both as fractions or both as decimals)
Fractions: 4/100_____ 2/10 (*10/10 = 20/100)
Decimals: 0.43______0.5
0.43
0.5
Decimals/Factions: 4/100 _____0.3
As Fractions: 4/100____3/10 (make denominators same)
As decimals: 0.04_____0.3 (line up place values)
Fractions: Denominator must be the same
3/10 + 4/10
Decimals: Line up the place values
0.5
+0.13
Decimals and fractions (make them the same)
Fractions
3/100 + 4/10 (*10/10 = 40/100)
3/100 + 40/100 = 43/100
Decimals:
0.5 + 0.09
0.5
+0.09
0.95
Decimals and Fractions: make them both fractions or decmials
9/10 + 0.05
Fraction 9/10 + 5/100 (make them the same denominator)
Decimals: 9/10 + 0.05
0.9 + 0.05 (line them up)
Fractions greater than 1
42/10
=10/10 + 10/10 + 10/10 + 10/10 + 2/10
=1+1+1+1+2/10
=4 and 2/10
As a decimal 42/10
Put 42 in the tenths place in a place value chart. Two numbers can not be in 1 place. The 4 moves into the ones place = 4.2 (4 ones and 2 tenths)
Draw 3/10 on a number line.
What would that look like as a decimal?
0---l---l---@---l---l---l---l---l---l---1
0.3
What is an equivalent fraction with a hundredth denominator to
8/10
8/10 * 10/10 = 80/100
Solve as a fraction and as a decimal
8/100 ____2/10
Fraction: 8/100 __<__ 2/10 (*10/10 = 20/100)
Decimal:
8/100 = 0.08
2/10 = 0.2
0.08 < 0.2 (2 tenths is more than 0 tenths)
7/10 + 1/100 =
Solve as a fraction and a decimal
Fraction: (70/100 = 10/10*) 7/10 + 1/100
70/100 + 1/100 = 71/100
Decimal: 0.7 + 0.01= (line them up) 0.71
Solve as a fraction
12/10
=10/10 + 2/10
=1 + 2/10
=1 2/10
What is the value of @
0---l---l---l---l---@---l---l---l---l---1
as a fraction _____
as a decimal____
5/10
0.5
What is a decimal that is equivalent to 0.3 with a digit in the hundredth place?
0.30
Solve as decimal and as a fraction
0.5____0.76
Decimal:
0.5
0.76 7tenths is more than 5 tenths
0.5 < 0.76
Fraction:
(50/100 = 10/10 *) 5/10 _____ 76/100
50/100 < 76/100
0.9 + 0.04 =
Solve as a decimal and as a fraction
Decimal: Line them up
0.9
+0.04
=0.94
Fraction 9/10 + 4/100 (make denominators the same) 90/100 + 4/100 = 94/100
Solve as a fraction 324/100
=100/100 +100/100 +100/100 + 24/100
=1 + 1 + 1 + 24/100
=3 and 24/100
What is the value of @ on the number line
0.7---l---l---l---l---l---l---@---l---l---0.8
As a decimal____
As a fraction____
0.77
77/100
What decimal value is equivalent to 8/100
0.08
Select all values that make the following true.
______ > 0.2
A) 0.3
B) 2/10
C) 16/100
D) 16/10
E) 3/10
F) 3/100
A, D, E
0.4 + 9/10
Solve as a fraction and decimal value
Fraction:
4/10 + 9/10 = 13/10 or 10/10 + 3/10 or 1 3/10
Decimal: 0.4 + 0.9 (line them up) 1.3
Solve as a decimal: 17/10
=10/10 + 7/10
= 1 + 7/10
=1.7
0r
Put 17 tenths in a place value chart. Move the 1 into the ones place and keep the 7 in the tenths place
Draw 0.23 (23/100) on a number line.
0.2-l-l-@-l-l-l-l-l-l-0.3
What fraction is equivalent to 0.9
9/10
Select all values that make the expression true.
4/10 > ____
A) 0.4
B) 0.39
C) 8/100
D) 31/100
E) 0.51
F) 2
E and F
6/10 + 0.09
Solve as a fraction and decimal value
Decimal: 0.6 + 0.09 (line them up) = 0.69
Fraction: 6/10 + 9/100 (make denominators the same) 60/100 + 9/100 = 69/100
Solve 203/100 as a decimal
100/100 + 100/100 + 3/100
=1 + 1 + 3/100
=2 and 3/100
= 2.03
or
Put 203 in the hundredths place. Only one digit can fit in each place so move the 0 ones place to the left and the 2 two places to the left