Place Value Detectives
What is the value of the 7 in the number 4.752?
7 tenths
Draw an area model for 3 × 1.2. What is the product?
3.6
Which is greater: 0.6 or 0.56?
0.6
Round 6.47 to the nearest tenth.
6.5
Maya bought 2.4 kg of apples and 3.6 kg of bananas. How many kg of fruit did she buy in total?
6.0 kg
46.39 in expanded form.
40 + 6 + 0.3 + 0.09
Show 4.2 ÷ 2 using a place value chart
2.1
Compare using <, >, or =: 2 tenths + 34 hundredths ___ 0.54
=
Round 15.296 to the nearest hundredth.
15.30
A bottle holds 1.25 L of water. How much water do 6 bottles hold?
7.5 L
Multiply by a power of ten: 5.62 × 100 =
562
Show 5.6 ÷ 103 using a place value chart
0.0056
18 tenths + 9 hundredths ___ 1.98
18 tenths + 9 hundredths ___ 1.98
Round 98.745 to the nearest whole number
99
A rope is 18.6 meters long. If it is cut into 3 equal pieces, how long is each piece?
6.2 meters
Divide by a power of ten: 7.428 ÷ 1,000 =
0.007428
Use an area model to explain the product of 2.7 x 3
8.1
Put in order from least to greatest: 0.8, 0.75, 0.805
0.75, 0.8, 0.805
A fish weighs 12.867 lbs. Round to the nearest tenth.
12.9
A baker used 2.38 kg of flour, 1.69 kg of sugar, and 0.72 kg of butter. Estimate the total weight by rounding to the nearest tenth.
About 4.8 kg
Explain why 4.8 ÷ 10 is the same as shifting the decimal one place to the left.
Because dividing by 10 makes each digit move one place value smaller.
Use a tape diagram to model how much one unit would equal. 16.72 divided by 4. How much would 2 units be?
1 unit = 4.18
2 units = 8.36
True or False: 12 hundredths + 4 tenths = 0.52
True
A runner’s time was 23.495 seconds. Round to the nearest hundredth.
23.50
The exact total from the baker’s ingredients (2.38 + 1.69 + 0.72). Then, if she splits it into 5 equal cakes, how much goes into each?
Total = 4.79 kg. Each cake ≈ 0.958 kg