A little shifty...
Which expressions shows shifting every digit one place to the right:
A) 5 ÷ 1,000
B) 20 ÷ 101
C) 0.7 ÷ 10
D) 9 ÷ 101
D, C, and B
True or false: Dividing 8 by 0.5 gives a quotient greater than 8.
True — dividing by a decimal less than 1 makes groups smaller, so more groups fit into 8
Julia has $568 and items cost $75. How many items can she buy?
What do you do with the remainder?
A. Ignore it
B. Round it
C. Turn it into a fraction
A. Ignore the remainder
The remainder represents leftover money not enough for another item
At a sports store, 3 times as many footballs as volleyballs were sold. If 3,252 footballs were sold, how many volleyballs were sold?
3,252 ÷ 3 = 1,084
Evaluate: 9 ÷ 10
0.9
Write the result of 3.45 ÷ 10. Explain how each digit moves.
0.345
The digits shift one spot to the right.
Predict whether 24 ÷ 0.8 is larger or smaller than 24 ÷ 8. Explain using place-value or reasoning.
24 ÷ 0.8 is larger because 0.8 is smaller than 8, so result is larger
24 ÷ 0.8 = 30
24 ÷ 8 = 3
Using the last question. Julia wants to buy as many projectors as she can. Each projector is $75 and she has $568.
How many can she buy?
She can buy 7 and will have $43 left over.
Luke has 30.1 grams of baking soda to put equally into 7 containers. How many grams per container?
30.1 ÷ 7 = 4.3
Evaluate: 81 ÷ 102
0.81
Which of these is equal to shifting the decimal of 7.8 two places to the right?
A) 7.8 ÷ 102
B) 7.8 × 102
C) 7.8 ÷ 101
D) 7.8 × 101
A. 0.078
Without calculating exactly, decide which is larger:
A. 300 ÷ 0.75
B. 300 ÷ 1.25
A. 300 ÷ 0.75
Because dividing by a smaller number gives a larger quotient.
A chef makes 8 equal servings of lemonade from 50 ounces.
For the remainder in this problem, should you...
A. ignore it
B. round up
C. form a fraction?
C. Form a fraction
When you are using division to calculate a form of measurement, you can turn your remainder into a fraction!
A choir director pays $270.20 for 28 CDs. How much does each CD cost?
$9.65
38 ÷ 6.3
(stop after the hundredths place)
2.03
Explain, or show, why 0.07 ⟌ 2.8 has the same answer as 7 ⟌ 280 (dividing 280 by 7).
Multiplying both divisor and dividend by 100 moves the decimal two places, giving equivalent division; division result is unchanged.
Compare using <, >, or =
9 ÷ 0.9 _____ 9 ÷ 0.09
<
9 ÷ 0.09 is larger.
9 ÷ 0.9 = 10
9 ÷ 0.09 = 100
A team of 489 skydivers are going on planes that hold up to 12 people at a time. What is the least number of planes needed? Show how you handle remainder.
489 ÷ 12 = 40 remainder 9 →
They need 41 planes (round up because remainder means an extra plane).
Sparty has $784 for tennis balls at $68 per box. How many boxes of tennis balls can he buy?
He can buy 11.
Ignore the remainder!
7.2 ÷ .9
8
Create and solve an expression that shifts the digits of 54.23 three places to the right using multiplication or division by a power of 10. Show result and explain.
54.23 ÷ 103 = 0.05423 (each digit moves three places to the right).
or 54.23 ÷ 1,000
Explain generally why dividing by any decimal less than 1 produces a quotient greater than the dividend
Dividing by a decimal less than 1 means you are breaking your dividend into more pieces.
More pieces of 0.5 will fit into 2 wholes than pieces of 1.
Create a word problem where the remainder must be expressed as a fraction, then solve it.
Answers Vary
A baker has 45.6 kg of flour to pack into bags holding 2.5 kg. How many full bags can he fill?
18 full bags.
6/25 is left over.
2.8 ÷ 0.07
40