Expanded Form
Expand: 2.002
2 + 0.002
Round to the nearest whole number:
0.48
1
(the 8 turns the 4 into a 5, 0.5 would round up)
Which is greater: 0.5 or 0.45?
0.5
Convert 1/4 to a decimal.
0.25
denominator: 4 x 25 =100
numerator: 1 x 25 =25
25/100 =0.25
0.45
45/100
Convert 7.342 to expanded form
7 + 0.3 + 0.04 + 0.002
Round to the nearest hundredth:
0.202
0.20
Hundredth = 2 decimals places
The thousandth 2 does not affect the 0
Put in order from least to greatest: 1.2, 1.09, 1.19
1.09, 1.19, 1.2
Convert 3/10 to a decimal.
0.3
Since the denominator is already 10, we use the top number as the decimal
0.2
2/10 = 1/5
0.2 is in the tenth place, therefore we know it is 2/10 and both of those can be divided by 2 therefore we can simplify them.
2/2 = 1
10/2 =5
therefore our final answer is 1/5
Expand: 2.101
2 + 0.1 + 0.001
5.6867
5.687
Which is smaller: 3.008 or 3.08?
3.008
Convert 2/3 to a decimal.
0.6‾ (6 repeating)
denominator: to 9s, therefore 3x3 = 9
numerator: 2 x 3 =6
6/9 - since 9 means non-terminating, we use the top number as the decimal.
0.08
8/100 = 2/25
since the number is 8 in the hundredth place, we know our denominator is 100.
8/100 can be reduced because both are divisible by 4
8/4 = 2
100/4 =25
therefore our final answer is 2/25
Expand 8.815
8 + 0.8 + 0.01 + 0.005
Round to the nearest whole number:
8.463456
9
Arrange in descending order: 0.77, 0.707, 0.7, 0.7701.
0.7701, 0.77, 0.707, 0.7
5/8
0.625
denominator: 8 x 125 =1,000
numerator: 5 x 125 =625
625/1,000 since our denominator is 1,000 we can use the top number to make the decimal = 0.625
0.63 (63 repeating)
63/99 = 7/11
since 0.63 was a repeating number, we know the denominator value is 9s, and since the place value is in the hundredths we know it is 99.
Remember to simplify! 63/9 =7 and 99/9 = 11
Final answer is: 7/11Convert from expanded factor form to standard:
(5 x 1) + (8 x 0.1) + (2 x 0.01) + (9 x 0.001) + (2 x 0.0001) =
5.8292
Round to the nearest tenth place:
6.479223
6.5
Which is greater: 12.0895 or 12.0901?
12.0901
Convert 3/16
0.1875
Denominator: 16 x 625 =10,000
Numerator: 3 x 625 =1,875
1875/10,000 since 10,000 is the denominator, we can use the top number to create the decimal = 0.1875
0.012 (12 repeating)
12/999 = 4/333
because the 12 is repeating, we know our denominator will be a value of 9.
due to the place value, we know it is 3 digits = 999
12/999 can be reduced because both are divisible by 3
12 / 3 = 4
999 / 3 =333
therefore our final answer is 4/333