Decimals and Place Value
What is the value of the digit 7 in the number 3.472?
7 is in the thousandths place, so its value is 0.007.
Multiply: 3 X 0.5.
1.5.
1/2
0.5.
Multiply: 1/3 X 3
1
Liya ran 0.5 mile and then walked 0.25 mile. How many miles total did she travel?
0.75 miles.
Write 0.305 in words and as an expanded form using place-value units.
"Three hundred five thousandths"
Multiply: 4.2 X 3. Place the decimal correctly in the product.
12.6
3/5
0.6
=1/5
A ribbon is 3/4 yard long. If you cut it into 3 equal pieces, how long is each piece? Give the answer as a fraction and a decimal.
0.25 yards.
Compare 0.407 and 0.397. Use >, =, or < and explain which decimal is larger.
0.407 > 0.397 because 0.407 has greater hundredths/thousandths values.
Find: 0.6 X 0.07. Show how many decimal places are in the answer.
0.042
Convert to a fraction in simplest form: 0.25.
1/4
Find the product: 3/4 X 8 and write the answer as a whole number or mixed number.
= 6
A juice recipe needs 0.6 liter of water per batch. How much water is needed for 5 batches?
3.0 liters.
Round 6.748 to the nearest tenth. Show the rounded result.
Nearest tenth: 6.7.
Multiply: 12.5 X 0.4. Use place-value reasoning to place the decimal point.
5.0 or 5.
Write \frac 7/10 as a decimal and explain why the place value matches the fraction.
0.7
Multiply: 2/3 X 3/5
6/15 or 5
A teacher has 12 meters of fabric. She uses 2/3 of it for costumes. How many meters did she use? Express the answer as a
(decimal 8.0).
A number is 4.2 more than 3.789. Find the sum and write it to the thousandths place.
Sum: 3.789 + 4.2 = 7.989 (already to thousandths).
A school buys 4 boxes of markers. Each box costs \$3.75. What is the total cost? (Show multiplication with decimals.)
15.00 so \$15.00.
Convert \frac 9/20 to a decimal. Show division or equivalent fraction steps.
0.45
500 — A rectangle has side lengths 3/2 units and 4/5 units. Find its area by multiplying and give the answer in simplest form.
12/10 or 6/5
A baker uses 5/8 cup of sugar for one batch of cookies. If she makes 6 batches, how much sugar does she use total? Convert that total to a decimal.
3.75 cups.