Drag each tile to the correct box.
Order the expressions from least value to greatest value.
-4.8 x 3.2 2 1/4 + (-1 2/5) 4.32/-3 -2 3/5 - (-1 2/5)
-2 3/5 - (-1 2/5), 2 1/4 + (-1 2/5), 4.32/-3, -4.8 x 3.2.
Least Value: -12.96
Greatest Value: 0.68
To order the expressions from least value to greatest value, let's evaluate each expression:
1. -4.8 x 3.2:
-4.8 x 3.2 = -15.36
2. 2 1/4 + (-1 2/5):
To add mixed numbers, we first need to convert them into improper fractions.
2 1/4 = 9/4
-1 2/5 = -7/5
Now let's add the fractions:
9/4 + (-7/5)
To add fractions, we need to find a common denominator, which in this case is 20.
Multiplying the numerators and denominators to get common denominators:
(9 x 5) / (4 x 5) + (-7 x 4) / (5 x 4)
45/20 + (-28/20)
= (45 - 28) / 20
= 17/20
3. 4.32 / -3:
4.32 divided by -3 is equal to -1.44.
4. -2 3/5 - (-1 2/5):
Follow the same steps as in step 2 to convert the mixed numbers to improper fractions:
-2 3/5 = -13/5
-1 2/5 = -7/5
Now let's subtract the fractions:
-13/5 - (-7/5)
To subtract fractions, we need to find a common denominator, which in this case is 5.
Multiplying the numerators and denominators to get common denominators:
(-13 x 5) / (5 x 5) - (-7 x 5) / (5 x 5)
= -65/25 + 35/25
= (-65 + 35) / 25
= -30/25
Simplifying the fraction, we get -6/5.
Putting it all together, the expressions from least value to greatest value are:
-15.36, -6/5, 17/20, -1.44