BITS and PIECES III
Investigation 3.2
The Great Equalizer: Common Denominators
What does the division 3.25 divided by 0.5
mean?
What does the division 3.25 divided by 0.5
mean?
How many 0.5’s are in 3.25.
What can you give for a real-life situation
that this decimal division problem could
represent?
What can you give for a real-life situation
that this decimal division problem could
represent?
How many half-meter sticks can be cut from a
stick 3.25 meters long?
What is a reasonable estimate for 3.25
divided by 0.5?
What is a reasonable estimate for 3.25
divided by 0.5?
3 divided by 1/2 = 6
3.25 divided by 1/2 ------Actual Answer
3 divided by 1/2 = 6 ------Estimate
Is this estimate greater than or less than the
actual answer?
3.25 divided by 1/2 ------Actual Answer
3 divided by 1/2 = 6 ------Estimate
Is this estimate greater than or less than the
actual answer?
Less than because you replaced the
dividend (3.25) with a less number
(3.00) but kept the divisor (1/2) the
same.
ALL THE SAME
3.25 divided by 0.5
325/100 divided by 5/10
325/100 divided by 50/100
3.25 divided by 0.5 = 6.5 or 6 1/2
What does the quotient 6.5 represent?
3.25 divided by 0.5 = 6.5 or 6 1/2
What does the quotient 6.5 represent?
There are 6 whole 0.5’s and half of a 0.5
in 3.25.
Can someone dry a picture of this?
3.25 divided by 0.5 = 6.5 or 6 1/2
What does the quotient 6.5 represent?
There are 6 whole 0.5’s and half of a 0.5
in 3.25.
Can someone dry a picture of this?
4.2 divided by 2.1
Estimate the quotient and write each
dividend (4.2) and divisor (2.1) in fraction
form with common denominators.
4.2 divided by 2.1
Estimate the quotient and write each
dividend (4.2) and divisor (2.1) in fraction
form with common denominators.
Estimate: 4 divided by 2 =2
Fraction form: 42/10 divided by 21/10 =2
Whole number division: 42 divided by 21
0.44 divided by 0.08
Estimate the quotient and write each
dividend and divisor in fraction form with
common denominators.
0.44 divided by 0.08
Estimate the quotient and write each
dividend and divisor in fraction form with
common denominators.
Estimate: 0.50 divided by 0.10 = 5
Fraction: 44/100 divided by 8/100
Whole number: 44 divided by 8 = 5.5
Write the whole number division problem
that corresponds to each problem from each
set.
Write the whole number division problem
that corresponds to each problem from each
set.
Without solving decide whether each set
lead to the same quotient. Explain.
Without solving decide whether each set
lead to the same quotient. Explain.
Set 1 and Set 3 lead to the same answer.
The problems in set 2 do not because the
quantities being divided are different in
each problem. Hint: Move decimals.
Solve the problems.
Solve the problems.
785/10 divided by 91/10
785 divided by 91
-For problem number one just divide to get 25.
-For number two, move the decimal point to
the right 2 spots to get the answer (25).
-For problem three, move the decimal to the
right 3 times to get 37500 divided by 15 to get
2500.