Place Values
What digit is in the thousandths place in 0.482?
2
Which is closer to 0.5: 0.48 or 0.52?
They are the same distance from 0.5.
Convert 1/2 to a decimal.
1/2 = 0.5
Order these from least to greatest: 0.2, 0.18, 0.25.
Least to greatest: 0.18, 0.2, 0.25.
Write the number whose digits are: 7 in the tenths, 3 in the hundredths, 9 in the thousandths, and 2 in the ten-thousandths.
0.7392
Without calculating the exact difference, decide which is larger: 0.75 or 3/4. Explain why.
0.75 equals 3/4; they are the same.
Convert 3/4 to a decimal.
3/4 = 0.75.
Which is greater: 0.305 or 0.35? Explain how you compare them.
0.35 is greater than 0.305 because when comparing the hundredths place, I know 5 is greater than 0.
Explain the value of the digit 5 in 12.053412.0534. Write that value in decimal form (not as words).
The 5 is in the thousandths place so its value is 0.005.
Which benchmark (0, 1/2, 1) is 0.63 closest to?
1/2
Convert 7/20 to a decimal.
7/20 = 0.35.
Put these in order from greatest to least: 0.403, 0.430, 0.4.
Greatest to least: 0.430, 0.403, 0.4.
Take 6.248. Move the decimal three places to the right. What is the new numerical value? Show the result.
Moving decimal three places right: 6.248→6248
Estimate the sum of 0.39 + 0.47 using benchmarks (round each to a nearby benchmark), then give the actual sum.
Benchmark Estimate: 1
Actual Sum: 0.86
Convert 11/16 to a decimal to at least three decimal places (round if needed).
11/16 = 0.6875.
A student lists decimals as: 0.499, 0.5, 0.450. Correctly order them from least to greatest and explain any tricky comparisons.
From least to greatest: 0.450, 0.499, 0.5.
Create a decimal with a 4 in the hundred-thousandths place and a 1 in the thousandths place, with nonzero digits only in those two places, and the whole-number part equal to 0. Write the decimal.
Hundred-thousandths place is the fifth digit after decimal. Decimal is 0.000014.
Given the decimal 0.874, decide which of these it is closest to: 7/8, 13/15, or 0.9. Explain your choice using benchmark comparisons.
7/8 =0.875 which is very close to 0.874 (difference 0.001); 0.9 is farther, 13/15≈0.8666; so 7/8 is closest.
Explain whether 2/3 can be written as a terminating decimal or a repeating decimal. Write the decimal form to three decimal places (use repeating notation or show the repeating digits).
2/3 = 0.6.
Compare and order these four numbers from least to greatest, showing steps: 0.128, 0.1279, 0.1280, 0.12.
Least to greatest: 0.12, 0.1279, 0.128, 0.1280.