Decimal Detectives
Write “six and twenty-five hundredths” in standard form.
6.25
What is 0.7 × 10?
7
Round 6.7 to the nearest whole number.
7
Fill in the symbol: 4.8 ___ 4.6.
4.8 > 4.6.
How would you read this number aloud?
$34.78
Thirty-four dollars and seventy-eight cents.
Write 4.306 in word form.
Four and three hundred six thousandths.
Complete the equation: 0.08 × ___ = 80.
1,000
Round 9.342 to the nearest tenth.
9.3
Fill in the symbol: 0.37 ___ 0.4.
.37 < 0.4
A ribbon is 0.06 meter long. Another ribbon is 0.6 meter long. How many times as long is the second ribbon?
10 times as long
Which number is represented by 7 + 0.4 + 0.009?
7.409
What is 6.4 ÷ 100?
0.064
Which three numbers round to 5 when rounded to the nearest whole number: 4.49, 4.82, 5.21, 5.67, or 4.95?
4.82, 5.21, and 4.95
Fill in the symbol: 6.250 ___ 6.25.
6.250 = 6.25
A bag of apples weighs 3.78 pounds and a bag of oranges weighs 3.807 pounds. Which bag is heavier?
The oranges weigh more: 3.807 pounds.
Write 12.058 in expanded form using place-value fractions or decimals.
10 + 2 + 0.05 + 0.008
Write 1,000,000 as a power of 10 in exponent form.
106
Does 8.76 round to 8.8 when rounded to the nearest tenth? Answer yes or no.
Yes, 8.76 rounds to 8.8.
Arrange these decimals from least to greatest: 3.09, 3.9, 3.19, 3.109.
3.09, 3.109, 3.19, 3.9
Complete the equations:
0.9 = ___ × 10,
and 90 = ___ × 10.
0.09 and 9
A number has 3 ones, 6 tenths, 2 hundredths, and 9 thousandths. What is the number in standard form?
3.629
A student says 0.35 × 100 = 3,500 because you add two zeros. Is the student correct? Explain why or why not
No. 0.35 times 100 = 35. The decimal moves two places to the right; you do not simply add zeros to the end of every number.
A runner's time is 12.458 seconds. Round the time to the nearest hundredth
12.46
Which is greater, 0.608 or 0.68? Explain using place value.
0.68 is greater because it has 6 tenths and 8 hundredths, while 0.608 has 6 tenths and 0 hundredths; compare the hundredths after matching decimal places: 0.680 > 0.608.
A student claims that multiplying any decimal by 100 means adding two zeros to the end. Use 0.47 × 100 to show whether the rule works.
The rule is incorrect as stated 0.47 times 100 = 47, because the decimal moves two places to the right.