Lesson Test: Decimals and Place Value

Answer: C

Correct answer: 0.03. In 52.738 the places after the decimal point are tenths (7), hundredths (3), and thousandths (8). The 3 is in the hundredths place, so its value is 0.03.

• A: This places the 3 in the thousandths place, which actually holds the 8.
• B: This reads the 3 as a tens digit, but it sits to the right of the decimal point.
• C (correct): The 3 is in the second place after the decimal point, the hundredths place, so it is worth 3 hundredths, or 0.03.
• D: This treats the 3 as if it were in the tenths place, but the tenths digit is 7.

Answer: C

Correct answer: 0.4 inch. Pad every number to four decimal places: 0.3750, 0.4000, 0.3800, and 0.3125.

Comparing the tenths digits first, only 0.4000 has a 4 there, so 0.4 inch is the largest.

• A: This has the most digits, but padded values show 0.3125 is actually the smallest.
• B: Padded to 0.3750, this is less than 0.4000; having more digits does not make it larger.
• C (correct): Padded to four places it is 0.4000, which beats 0.3800, 0.3750, and 0.3125.
• D: As 0.3800 it is close, but 0.4000 is still larger in the tenths place.

Answer: A

Correct answer: 5.0 cm. The tenths digit is 9 and the digit to its right is 6, so the 9 is raised by one.

Nine tenths plus one tenth makes a whole, so 4.968 rounds to 5.0 cm.

• A (correct): The digit after the tenths place is 6, so the 9 rounds up, which carries into the ones place and gives 5.0.
• B: Raising the 9 by one gives 10 tenths, which must carry into the ones place rather than be written as 10.
• C: This rounds to the nearest hundredth, not the nearest tenth.
• D: This simply drops the extra digits instead of checking the 6 that follows the tenths place.

Answer: D

Correct answer: 6.85 m. Line up the decimal points and pad with zeros: 3.60 + 2.45 + 0.80.

The sum is 6.85 meters.

• A: This treats 0.8 as 0.08, a misaligned decimal point on the last piece.
• B: This treats 3.6 as 3.06, a misaligned decimal point on the first piece.
• C: This comes from lining the digits up on the right instead of lining up the decimal points.
• D (correct): Lining up the points gives 3.60 + 2.45 + 0.80 = 6.85.

Answer: B

Correct answer: 4,060 m. Convert kilometers to meters by multiplying by 1,000, which moves the decimal point three places to the right.

4.06 km × 1,000 = 4,060 m.

• A: This moves the decimal point four places, one more than multiplying by 1,000 requires.
• B (correct): Multiplying by 1,000 moves the decimal point three places right: 4.06 becomes 4,060.
• C: This moves the decimal point only two places, as if multiplying by 100.
• D: This drops the zero placeholder in the tenths place of 4.06.

Answer: D

Correct answer: $11.28. Multiply without the points:

The factors have two and one decimal places, three in all, so the product is 11.280.

The cost is $11.28, which agrees with the estimate

• A: This places too many decimal places in the product; an estimate of 5 times $2 shows the cost is about $10.
• B: This adds the price and the length instead of multiplying them.
• C: This places only one decimal place in the product instead of three.
• D (correct): 235 times 48 is 11,280, and three total decimal places give 11.280, or $11.28.

Answer: D

Correct answer: 35. Make the divisor whole by moving both decimal points two places right: 15.75 ÷ 0.45 becomes 1,575 ÷ 45.

strips. Check:

• A: This shifts the dividend one place more than the divisor.
• B: This moves the divisor's point but not the dividend's, which changes the answer.
• C: This shifts the dividend one place fewer than the divisor, leaving the decimal in the wrong spot.
• D (correct): Moving both decimal points two places gives 1,575 divided by 45, which is 35.

Answer: B

Correct answer: 0.625 inch. A fraction is a division of the numerator by the denominator.

so the caliper should read 0.625 inch.

• A: This just writes the digits 5 and 8 after a decimal point instead of dividing.
• B (correct): Dividing 5 by 8 gives 0.625.
• C: This divides 8 by 5, putting the denominator over the numerator.
• D: This is the decimal for 1/8, not 5/8; it must be multiplied by 5.

Answer: B

Correct answer: 17/20 inch. The last digit of 0.85 is in the hundredths place, so write 85/100.

Divide both terms by 5 to get 17/20 inch.

• A: This turns the digits into a fraction without using place value; 8/5 is greater than 1.
• B (correct): 0.85 is 85 hundredths, and 85/100 simplifies to 17/20 by dividing both terms by 5.
• C: This uses thousandths as the denominator; 17/200 equals 0.085.
• D: This uses tenths instead of hundredths; 17/2 equals 8.5, ten times too large.

Answer: A

Correct answer: 12.5 minutes. Time equals total divided by rate: 30 ÷ 2.4.

Shift both points one place:

• A (correct): Dividing the total by the rate gives 30 divided by 2.4, which is 12.5.
• B: This multiplies the rate by the total instead of dividing the total by the rate.
• C: The decimal point is misplaced; shifting both numbers one place gives 300 divided by 24, which is 12.5.
• D: The decimal point is misplaced; at about 2 gallons per minute, 30 gallons takes more than 10 minutes.

Answer: B

Correct answer: $0.75. Divide the price by the number of rolls: 8.98 ÷ 12 is about 0.7483.

The digit after the hundredths place is 8, so round up to $0.75 per roll.

• A: This drops the digits after the cents place instead of rounding; the 8 in the thousandths place means the cents digit goes up.
• B (correct): 8.98 divided by 12 is about 0.748, which rounds up to $0.75.
• C: This divides the number of rolls by the price instead of the price by the number of rolls.
• D: The decimal point is misplaced; 12 rolls at $7.48 would cost about $90.

Answer: A

Correct answer: $11.61. Oil:

Add the filter:

Change:

• A (correct): The oil costs $28.74, the total is $38.39, and $50.00 minus $38.39 leaves $11.61.
• B: This subtracts only the cost of the oil and forgets the filter.
• C: This counts just one quart of oil instead of six.
• D: This is the total cost of the purchase, not the change from $50.

Answer: A

Correct answer: 13 gallons. First find the rate:

per gallon.

Then divide the new distance by the rate:

An estimate agrees: 312 miles is about twice 150 miles, so about twice 6 gallons.

• A (correct): The truck gets 148.8 divided by 6.2, or 24 miles per gallon, and 312 divided by 24 is 13.
• B: The decimal point is misplaced; at 24 miles per gallon, 130 gallons would cover over 3,000 miles.
• C: This divides 312 by 6.2, mixing the gallons from the first trip with the miles of the second.
• D: The decimal point is misplaced; a truck cannot cover 312 miles on less fuel than it used for 148.8 miles.

Answer: C

Correct answer: 0.3, 0.305, 0.31, 5/16. Convert the fraction:

Pad the others to four places: 0.3050, 0.3100, and 0.3000.

From smallest to largest: 0.3000, 0.3050, 0.3100, 0.3125, which is 0.3, 0.305, 0.31, 5/16.

• A: This assumes the fraction is smallest without converting it; 5/16 is 0.3125, the largest.
• B: This list runs from thickest to thinnest, the reverse of the order asked for.
• C (correct): As four-place decimals the values are 0.3000, 0.3050, 0.3100, and 0.3125, in increasing order.
• D: This judges by length, treating 0.305 as larger than 0.31; padded, 0.3050 is less than 0.3100.

Answer: D

Correct answer: 86.65 L. Fuel used:

Remaining:

After refueling:

• A: This accounts for the three days of use but forgets the fuel that was added.
• B: This subtracts the 22.4 liters that were added instead of adding them.
• C: This subtracts only one day of use instead of three.
• D (correct): Three days use 56.25 L, leaving 64.25 L, and adding 22.4 L gives 86.65 L.

Answer: B

Correct answer: 30. Divide the total by the dose size: $7.5÷0.25$. Move both decimal points two places right to make the divisor whole:

doses. Check:

• A: This shifts the divisor two places but the dividend only one place (75 divided by 25), which changes the answer.
• B (correct): Shifting both decimal points two places gives 750 divided by 25, which is 30.
• C: This shifts the dividend's decimal point too far, making the dividend 7,500 instead of 750.
• D: This multiplies 7.5 by 0.25 instead of dividing the total by the size of one dose.

Answer: B

Correct answer: 3/40 inch. The last digit, 5, is in the thousandths place, so write

Divide the top and bottom by 25 to simplify:

• A: 3/4 is 0.75; this treats the digits 75 as hundredths and ignores the leading zero.
• B (correct): 0.075 = 75/1000, and dividing top and bottom by 25 gives 3/40.
• C: 3/400 is 0.0075; this uses ten-thousandths as the place value instead of thousandths.
• D: 1/8 is 0.125, a common fraction that looks familiar but is not equal to 0.075.

Answer: A

Correct answer: 0. Count places to the right of the decimal point: tenths (4), hundredths (0), thousandths (6). The digit in the hundredths place is 0.

• A (correct): The hundredths place is the second place to the right of the decimal point, and that digit is 0.
• B: 4 is the first digit after the decimal point, so it is in the tenths place.
• C: 6 is the third digit after the decimal point, so it is in the thousandths place.
• D: 8 is just left of the decimal point, so it is in the ones place, not a decimal place.

Answer: B

Correct answer: twelve and forty-five thousandths. Read the whole number (twelve), say "and" for the decimal point, then read the decimal digits 045 as forty-five and name the place of the last digit. The 5 is in the thousandths place, so it is twelve and forty-five thousandths.

• A: Forty-five hundredths would be 12.45; the 5 here is three places past the point, which is thousandths.
• B (correct): The last digit, 5, sits in the thousandths place, so the decimal part 045 is read as forty-five thousandths.
• C: Four hundred fifty thousandths is 12.450, which places the 4 in the tenths place instead of the hundredths place.
• D: Ten-thousandths would need four decimal places; 12.045 has only three.

Answer: A

Correct answer: 86 grams. Multiplying by 100 shifts the decimal point two places to the right:

The total is 86 grams, which is larger than one washer, as it should be.

• A (correct): Multiplying by 100 moves the decimal point two places right, so 0.86 becomes 86.
• B: This moves the decimal point only one place, which is multiplying by 10 instead of 100.
• C: This moves the decimal point three places, which is multiplying by 1,000.
• D: This moves the decimal point left, which divides by 100 instead of multiplying.

Answer: C

Correct answer: $1,223.85. Regular pay:

Overtime rate:

for

Total:

• A: This pays all 46.5 hours at the regular $24.60 rate and ignores the overtime rate.
• B: This counts only 6 overtime hours instead of 6.5, losing the half hour.
• C (correct): Regular pay is 984.00, overtime is 6.5 hours at 36.90, or 239.85, and the total is 1,223.85.
• D: This pays all 46.5 hours at the overtime rate of $36.90.

Answer: C

Correct answer: $40.93. Multiply price by gallons:

The thousandths digit is 6, so round the cents up: $40.93.

• A: This drops the extra fraction of a cent instead of rounding; 40.926 rounds up to $40.93.
• B: This prices only 11 gallons and leaves out the 0.4 gallon.
• C (correct): 3.59 times 11.4 is 40.926, which rounds to $40.93.
• D: The decimal point is misplaced; the cost is about $41, not about $410.

Answer: D

Correct answer: 11/16 inch. Convert the fraction first:

Pad all values to four places: 0.7000, 0.6875, 0.6900, 0.6950. The smallest is 0.6875, so the 11/16-inch strip is thinnest.

• A: 0.6900 is larger than 11/16, which converts to 0.6875.
• B: This looks small because of its extra digit, but 0.6950 is larger than both 0.6875 and 0.6900.
• C: 0.7 has the fewest digits, but padded to 0.7000 it is actually the thickest of the four.
• D (correct): 11/16 equals 0.6875, which is less than 0.6900, 0.6950, and 0.7000.

Answer: A

Correct answer: $98.01. Estimate first:

so the pay is close to $100. Exactly,

and the factors have two decimal places each, four in all, giving 98.0100, or $98.01.

• A (correct): 1980 times 495 is 980,100; with four decimal places in all, that is 98.0100, or $98.01.
• B: This puts the decimal point one place too far left; an estimate of 20 times 5 = 100 shows the pay is near $100.
• C: This puts the decimal point one place too far right; the estimate of about $100 rules it out.
• D: This is 19.80 times 4.5, which misreads 4.95 hours as 4.5 hours.

Answer: C

Correct answer: The 3.2-pound bag, by $0.09 per pound. Find each unit price. Small bag:

per pound. Large bag:

per pound.

The 3.2-pound bag is cheaper by

dollar per pound.

• A: This finds the right difference but picks the wrong bag; $2.74 per pound is the higher price.
• B: This compares the total prices, 8.48 - 6.85, instead of the prices per pound.
• C (correct): The 2.5-pound bag costs $2.74 per pound and the 3.2-pound bag costs $2.65, a difference of $0.09.
• D: This subtracts the weights (3.2 - 2.5) instead of comparing unit prices.

Answer: D

Correct answer: 17.05 kg. Line up the decimal points and fill empty places with zeros:

Estimate check:

• A: This lines up 4.3 by its right-hand digit, treating it as 0.43 instead of 4.30.
• B: This treats 12 as 0.12 by lining up its digits on the right instead of at the decimal point.
• C: This drops the 0 placeholder in the tenths place; 0.75 + 0.30 is 1.05, not 1.5.
• D (correct): Lining up the points as 12.00 + 0.75 + 4.30 gives 17.05.

Answer: C

Correct answer: 33.6 gallons. Convert the fraction:

The tank must rise by

of its capacity.

Gallons to add:

Check: the tank holds 24 gallons now and needs

• A: This is 0.9 of the tank; it ignores the water already in it.
• B: This is the amount already in the tank (3/8 of 64), not the amount to add.
• C (correct): The tank must go from 0.375 full to 0.9 full, an increase of 0.525 of 64 gallons, which is 33.6.
• D: This rounds 3/8 to 0.38 too early; using the exact 0.375 gives a different result.

Answer: B

Correct answer: 14 miles per hour. Speed is distance divided by time: $31.5÷2.25$. Move both points two places right:

per hour. Estimate:

which is close.

• A: This puts the decimal point one place too far left; 30 divided by 2 is about 15, not 1.5.
• B (correct): 31.5 divided by 2.25 is 3150 divided by 225, which is 14.
• C: This shifts the dividend's decimal point three places but the divisor's only two, which makes the quotient ten times too large.
• D: This multiplies distance by time; a rate is found by dividing distance by time.

Answer: D

Correct answer: 12.68 grams. The hundredths digit is 8, and the digit just to its right is 4. Since 4 is less than 5, leave the 8 alone and drop the remaining digits: 12.68 grams.

• A: This comes from rounding in stages (12.6849 to 12.685 to 12.69); round once, looking only at the digit just right of the hundredths place.
• B: This rounds to the nearest tenth, not the nearest hundredth.
• C: This rounds to the nearest thousandth, keeping one place too many.
• D (correct): The digit right after the hundredths place is 4, so the 8 stays and the rest is dropped.

Answer: D

Correct answer: 17.1 square meters. Area is length times width. Multiply

the factors have one decimal place each, so the product has two: 17.10. The area is 17.1 square meters, close to the estimate

• A: This multiplies 45 by 38 but never places the two decimal places back in the product.
• B: This places three decimal places in the product; the factors have only two in total.
• C: This multiplies the whole parts (4 times 3) and the decimal parts (0.5 times 0.8) separately and adds them, which skips the cross products.
• D (correct): 45 times 38 is 1,710, and two decimal places in all give 17.10, or 17.1.

Answer: C

Correct answer: 7.00 mm. The hundredths digit is 9 and the next digit is 7, so round up. Raising 6.99 by one hundredth carries all the way:

Keep the zeros to show the value is to the nearest hundredth: 7.00 mm.

• A: This simply drops the last digit instead of rounding; the 7 after the hundredths place means round up.
• B: This turns the hundredths 9 into 0 but forgets to carry the 1 through the tenths and into the ones place.
• C (correct): The digit after the hundredths place is 7, so the hundredths digit 9 goes up by one, which carries into the tenths and ones.
• D: This adds one to the tenths place instead of to the hundredths place, then carries.

Answer: A

Correct answer: 3 hours 12 minutes. Time equals distance divided by speed for each leg:

Total: 3.2 hours.

Convert the decimal part:

so the trip takes 3 hours 12 minutes.

• A (correct): The legs take 1.5 hours and 1.7 hours, for 3.2 hours, and 0.2 hour is 12 minutes.
• B: This reads 3.2 hours as 3 hours 20 minutes; 0.2 of an hour is 0.2 times 60 = 12 minutes.
• C: This divides the total distance of 134.1 miles by 48 mph only, as if the whole trip were at the faster speed.
• D: This divides the total distance by 35 mph only, as if the whole trip were at the slower speed.

Answer: B

Correct answer: $23.56. Add first:

Divide:

The digit after the cents is 7, so round up to $23.56 each.

• A: This cuts off 23.557 after the cents instead of rounding; the next digit, 7, means round up.
• B (correct): The total is 164.90 dollars, and 164.90 divided by 7 is 23.557..., which rounds to 23.56.
• C: This splits only the bill and leaves out the tip.
• D: This places the decimal point one place too far left; 7 people sharing about $165 pay over $20 each.

Answer: A

Correct answer: 360 square meters. Put both lengths in meters:

Area is length times width:

Estimate:

so 360 fits between them.

• A (correct): 2.4 km is 2,400 m, and 2,400 times 0.15 is 360 square meters.
• B: This multiplies 2.4 by 0.15 without converting kilometers to meters, mixing units.
• C: This converts kilometers to meters by multiplying by 100 instead of 1,000.
• D: This places the decimal point one place too far right; 2,400 times 15 hundredths is 36,000 hundredths, which is 360.

Answer: C

Correct answer: 12.54 meters. Write 20 as 20.00 so the decimal points line up, then subtract:

About 12.5 meters of cord is left, which matches the estimate 20 - 7.5.

• A: This forgets that borrowing for the decimal places also reduces the ones digit.
• B: This subtracts only the whole numbers (20 - 7 = 13) and carries the .46 along instead of subtracting it.
• C (correct): Writing 20 as 20.00 and subtracting 7.46 gives 12.54.
• D: This adds the two lengths instead of subtracting the piece that was cut off.

Answer: D

Correct answer: $1.87. Find each part:

The total is

Change:

• A: This counts only one box of screws: 25.00 - 7.35 - 7.89 = 9.76.
• B: This is the total cost of the items, not the change from $25.
• C: This makes a borrowing error when subtracting 23.13 from 25.00.
• D (correct): The purchase is 7.35 + 15.78 = 23.13 dollars, and 25.00 - 23.13 = 1.87.

Answer: A

Correct answer: 0.8. A fraction is a division:

Check:

and four of them make 0.8.

• A (correct): Dividing 4 by 5 gives 0.8.
• B: This just writes the digits 4 and 5 after a decimal point; it does not divide.
• C: This is 5 divided by 4, the fraction turned upside down.
• D: This puts the 8 in the hundredths place; 4/5 equals 8 tenths, not 8 hundredths.

Answer: A

Correct answer: 0.012 mm. Multiply

then count decimal places: 0.03 has two and 0.4 has one, three in all. So

which is less than 0.03 mm, as a shrinking coat should be.

• A (correct): 3 times 4 is 12, and the factors have three decimal places in all, so the product is 0.012.
• B: This places only two decimal places in the product instead of three.
• C: This places four decimal places in the product; the factors have only three in total.
• D: This divides 0.03 by 0.4 instead of multiplying, which would make the coat thicker than when it was wet.

Answer: B

Correct answer: 2.45 grams. Convert to grams:

Divide by the number of rivets:

The two shifts of three places cancel each other.

• A: This is the weight of one rivet in kilograms; it was never converted to grams.
• B (correct): 2.45 kg is 2,450 g, and 2,450 divided by 1,000 is 2.45 g.
• C: This converts kilograms to grams with only two shifts, using 100 instead of 1,000.
• D: This divides 2,450 by 100 instead of by 1,000.

Answer: D

Correct answer: $1.20. Cost of 24 singles:

Savings:

Check: the pack works out to

dollar per bottle, saving 0.05 dollar on each of 24 bottles, and

• A: This is the savings on one bottle (0.79 - 0.74), not on all 24 bottles.
• B: This is the price of one bottle in the pack, 17.76 divided by 24, not the savings.
• C: This places the decimal point one place too far right; the savings must be less than the price of the pack.
• D (correct): 24 single bottles cost $18.96, and 18.96 - 17.76 = 1.20.

Answer: D

Correct answer: 2.4 hours. Time equals total divided by rate: $0.288÷0.12$. Move both decimal points two places right:

Check:

• A: This shifts the divisor two places but the dividend three places, which makes the answer ten times too large.
• B: This misplaces the decimal point in the quotient; 0.12 times 0.24 is only about 0.03 liter.
• C: This multiplies the rate by the total instead of dividing the total by the rate.
• D (correct): Shifting both points two places gives 28.8 divided by 12, which is 2.4.

Answer: B

Correct answer: 0.61. Pad every value to three places and compare with 0.600: 0.610, 0.599, 0.590, and 0.065. Only 0.610 is greater than 0.600, so 0.61 passes.

• A: 0.599 is just below 0.600, even though it has more digits.
• B (correct): Padding gives 0.610, which is greater than 0.600.
• C: Padded to 0.590, this is less than 0.600.
• D: This is about one tenth of 0.6; the 6 here is in the hundredths place.

Answer: C

Correct answer: 16 kilograms. Round to friendly values: 31.8 is about 32 and 0.49 is about 0.5. Then

kilograms. The exact weight, 15.582 kilograms, is close to this estimate.

• A: This has the decimal point one place too far left; half of about 32 is 16, not 1.6.
• B: This has the decimal point one place too far right; each meter weighs less than 1 kilogram, so the total must be less than 32.
• C (correct): Rounding to 32 meters and 0.5 kilogram per meter gives 32 times 0.5 = 16.
• D: This divides 32 by 0.5 instead of multiplying by 0.5.

Answer: D

Correct answer: 0.4287. Convert the fraction:

Pad each choice to compare: 0.4287 is greater than 0.42857 and less than 0.4300, so it lies between the two values. Carrying enough decimal places is the key, since 0.4285 falls just short.

• A: This is just below 3/7, because 0.42850 is less than 0.42857.
• B: Padded to 0.4280, this is less than 3/7, which is about 0.4286.
• C: Padded to 0.4310, this is greater than 0.4300, so it is outside the range.
• D (correct): 3/7 is 0.428571..., so 0.4287 is just above it and still below 0.4300.

Answer: C

Correct answer: 0.83. Divide the numerator by the denominator:

The hundredths digit is 3 and the next digit is 3, which is less than 5, so the gauge shows 0.83.

• A: This rounds up even though the digit after the hundredths place is 3, which is less than 5.
• B: This writes the digits 5 and 6 after a decimal point instead of dividing 5 by 6.
• C (correct): 5 divided by 6 is 0.8333..., and the digit after the hundredths place is 3, so it rounds to 0.83.
• D: This divides 6 by 5, which turns the fraction upside down and gives more than a full tank.

Answer: C

Correct answer: 0.485 liter. Liters are larger than milliliters, so divide by 1,000 and move the decimal point three places left:

liter.

• A: This moves the decimal point only two places, which divides by 100.
• B: This moves the decimal point only one place, which divides by 10.
• C (correct): Dividing by 1,000 moves the decimal point three places left, so 485 becomes 0.485.
• D: This multiplies by 1,000; changing to a larger unit should give a smaller number.

Answer: B

Correct answer: 3 3/20 meters. Keep the whole number 3. The decimal part 0.15 ends in the hundredths place, so

The length is $3\frac{3}{20}$ meters.

• A: This reads the digits 1 and 5 as the fraction 1/15, which is about 0.067, not 0.15.
• B (correct): 0.15 = 15/100, and dividing top and bottom by 5 gives 3/20, so 3.15 = 3 3/20.
• C: 3/200 is 0.015; this uses thousandths as the place value instead of hundredths.
• D: 3 1/5 is 3.2; this rounds 0.15 to 0.2 before converting.

Answer: D

Correct answer: 62.45 seconds. Add with the points lined up:

Divide by the number of laps:

The average must fall between the fastest and slowest laps, and it does.

• A: This is the total of the three laps; the average requires dividing the total by 3.
• B: This comes from a misaligned addition that gives a total of 187.05 instead of 187.35.
• C: This divides the total by 4 instead of by the 3 laps that were run.
• D (correct): The sum is 187.35 seconds, and 187.35 divided by 3 is 62.45.

Answer: B

Correct answer: $60.20. Miles per gallon:

Gallons for the trip:

Cost:

Estimate: about 18 gallons at about 3.5 dollars is about 63 dollars, which is close.

• A: This is the number of gallons needed, not the cost; it still has to be multiplied by $3.44.
• B (correct): The car gets 32 miles per gallon, so 560 miles needs 17.5 gallons, and 17.5 times 3.44 is 60.20.
• C: This is the cost of the 12.9 gallons for the first 412.8 miles, not for the 560-mile trip.
• D: This multiplies the miles by the price per gallon, skipping the miles-per-gallon step.

Answer: A

Correct answer: 2,800 grams. Find the total in kilograms:

Convert to grams by moving the decimal point three places right:

grams.

• A (correct): 8 times 0.35 is 2.8 kilograms, and 2.8 times 1,000 is 2,800 grams.
• B: This converts kilograms to grams by multiplying by 100 instead of 1,000.
• C: This is the amount in kilograms; the unit was changed without converting the number.
• D: This moves the decimal point four places instead of three when converting.