In fifth grade, decimals move from tenths and hundredths to thousandths. Students read, write and compare decimals to the thousandths place (Common Core 5.NBT.A.3), round them to any place (5.NBT.A.4), and add, subtract, multiply and divide decimals to hundredths (5.NBT.B.7). Place value is the thread that ties all of this together: each place is ten times the place to its right, so 0.3 is ten times 0.03.
These questions practice each skill in turn, with a few money problems so the numbers feel real. When comparing, line the decimals up by the decimal point and compare digit by digit from the left; adding zeros to the end, so that 0.7 becomes 0.700, makes the comparison easier without changing the value. For multiplying, estimate first: 0.6 x 0.4 should be less than both numbers, which is a quick way to spot a misplaced decimal point. Every answer is checked instantly and has a full worked explanation.
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Answer: B) 0.03
In 4.638 the 6 is in the tenths place, the 3 is in the hundredths place and the 8 is in the thousandths place. So the 3 is worth 3 hundredths, or 0.03.
Answer: 6.4
The tenths digit is 3. Look at the hundredths digit: 8 is 5 or more, so round the 3 up to 4. The answer is 6.4.
Answer: A) 0.7
Write them all to thousandths: 0.700, 0.680, 0.659 and 0.070. 0.700 has the most tenths, so 0.7 is the greatest.
Answer: 6.25
Write 2.8 as 2.80 and line up the decimal points. Hundredths: 5 + 0 = 5. Tenths: 4 + 8 = 12, write 2 and carry 1. Ones: 3 + 2 + 1 = 6. The answer is 6.25.
Answer: B) 3.55
Write 7.2 as 7.20 and line up the points. Hundredths: 0 - 5 needs regrouping, so 10 - 5 = 5 and the tenths drop from 2 to 1. Tenths: 1 - 6 needs regrouping, so 11 - 6 = 5 and the ones drop from 7 to 6. Ones: 6 - 3 = 3. The answer is 3.55. Check: 3.55 + 3.65 = 7.20.
Answer: 0.24 (also accepted: .24)
6 x 4 = 24. There is one decimal place in 0.6 and one in 0.4, so the answer has two: 0.24. Check: 6 tenths of 4 tenths should be less than 0.4.
Answer: B) 45
Multiplying by 10 moves each digit one place to the left: 4 ones become 4 tens and 5 tenths become 5 ones. The answer is 45.
Answer: 4.2
12 / 3 = 4 and 0.6 / 3 = 0.2. Add them: 4 + 0.2 = 4.2. Check: 4.2 x 3 = 12.6.
Answer: B) 5.10
The hundredths digit is 9. The thousandths digit is 6, which is 5 or more, so round up. 9 hundredths + 1 hundredth = 10 hundredths = 1 tenth, so 5.096 rounds to 5.10.
Answer: four hundred five thousandths (also accepted: four hundred and five thousandths, 405 thousandths)
The last digit, 5, is in the thousandths place, so read the number after the decimal point as a whole number and add "thousandths": four hundred five thousandths.
Answer: B) $4.24
Add $2.35 + $1.89. Hundredths: 5 + 9 = 14, write 4 and carry 1. Tenths: 3 + 8 + 1 = 12, write 2 and carry 1. Ones: 2 + 1 + 1 = 4. The total is $4.24.
Answer: 9
Think: how many 0.4s are in 3.6? Multiply both numbers by 10 to get 36 / 4 = 9. Check: 9 x 0.4 = 3.6.
Answer: A) 2.45
Write 2.4 as 2.40 and 2.5 as 2.50. 2.45 is between 2.40 and 2.50. 2.54 is too big, 2.04 is too small and 2.5 is not between because it is one of the ends.
Answer: 0.5, 0.519, 0.52 (also accepted: 0.5,0.519,0.52, 0.5 0.519 0.52)
Write each to thousandths: 0.520, 0.500 and 0.519. In order: 0.500, 0.519, 0.520. So the order is 0.5, 0.519, 0.52.
0.659 is not greater than 0.7. Compare tenths first: 6 tenths is less than 7 tenths.
When adding 3.45 + 2.8, write 2.8 as 2.80 and line up the points, or the tenths get added to the hundredths.
0.6 x 0.4 is 0.24, not 2.4. Multiplying two numbers less than 1 gives an answer smaller than both.
To round to the nearest tenth, look only at the hundredths digit. 6.384 rounds to 6.4 because the 8 is 5 or more.
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Open the student portal βTenths, hundredths and thousandths. Students read, write, compare and round decimals to the thousandths place.
Yes. Standard 5.NBT.B.7 includes dividing with decimals to hundredths, for example 3.6 divided by 0.4, using models, place value and the link between multiplication and division.