Elementary School Math Quiz: Add Tenths And Hundredths
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Add Tenths And HundredthsQuestion 1 of 20

Josh walked 410\frac{4}{10} of a mile to school, then 35100\frac{35}{100} of a mile to the library after school. Which expression correctly shows the total distance Josh walked?

4+3510+100=39110\frac{4 + 35}{10 + 100} = \frac{39}{110} mile
40+35100=75100\frac{40 + 35}{100} = \frac{75}{100} mile
4+35100=39100\frac{4 + 35}{100} = \frac{39}{100} mile
40100+3510=75110\frac{40}{100} + \frac{35}{10} = \frac{75}{110} mile
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Elementary School Math Quiz

Elementary School Math Quiz: Add Tenths And Hundredths

Practice Add Tenths And Hundredths in Elementary School Math with focused quiz questions that help you check what you know, review explanations, and build confidence with test-style prompts.

What this quiz covers

This quiz focuses on Add Tenths And Hundredths, giving you a quick way to practice the rules, question types, and explanations that matter most for Elementary School Math.

How to use this quiz

Try each quiz question before looking at the correct answer. Use the explanations to review missed ideas, then come back to similar questions until the pattern feels familiar.

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Question 1

Josh walked 410\frac{4}{10} of a mile to school, then 35100\frac{35}{100} of a mile to the library after school. Which expression correctly shows the total distance Josh walked?

  1. 4+3510+100=39110\frac{4 + 35}{10 + 100} = \frac{39}{110} mile
  2. 40+35100=75100\frac{40 + 35}{100} = \frac{75}{100} mile (correct answer)
  3. 4+35100=39100\frac{4 + 35}{100} = \frac{39}{100} mile
  4. 40100+3510=75110\frac{40}{100} + \frac{35}{10} = \frac{75}{110} mile
Explanation: Convert 410\frac{4}{10} to 40100\frac{40}{100}, then add: 40100+35100=75100\frac{40}{100} + \frac{35}{100} = \frac{75}{100}. Choice A incorrectly adds denominators. Choice C fails to convert tenths to hundredths. Choice D incorrectly converts the second fraction to tenths instead of the first to hundredths.

Question 2

What is 810+9100\frac{8}{10} + \frac{9}{100}?

  1. 89100\frac{89}{100} (correct answer)
  2. 17100\frac{17}{100}
  3. 80100\frac{80}{100}
  4. 99100\frac{99}{100}
Explanation: The correct answer is A, 89/100. Rewriting 8/10 as 80/100 and adding gives 80/100 + 9/100 = 89/100. Choice B, 17/100, comes from adding just the numerators of the original fractions without converting to a common denominator. Choice C, 80/100, is only the converted first fraction, not the final sum. Choice D, 99/100, comes from an addition error.

Question 3

Keisha walked 110\frac{1}{10} mile and then 25100\frac{25}{100} mile more. Convert: 110=10100\frac{1}{10}=\frac{10}{100}. Add: 10100+25100=35100\frac{10}{100}+\frac{25}{100}=\frac{35}{100}. What total distance did she walk?

  1. 35100\frac{35}{100} (correct answer)
  2. 10100\frac{10}{100}
  3. 26100\frac{26}{100}
  4. 34100\frac{34}{100}
Explanation: Keisha walked 35/100 mile in total because 1/10 converts to 10/100, and 10/100 + 25/100 = 35/100. Choice B repeats the first distance without adding the second. Choice C adds 1 + 25 = 26 without converting 1/10 to 10/100 first. Choice D is one short of the correct sum.

Question 4

What is 410+27100\frac{4}{10} + \frac{27}{100}?

  1. 40100\frac{40}{100}
  2. 66100\frac{66}{100}
  3. 67100\frac{67}{100} (correct answer)
  4. 31100\frac{31}{100}
Explanation: Rewrite 410\frac{4}{10} with denominator 100: 410=40100\frac{4}{10} = \frac{40}{100}. Then add: 40100+27100=67100\frac{40}{100} + \frac{27}{100} = \frac{67}{100}. Choice A repeats the converted value of 410\frac{4}{10} without adding 27100\frac{27}{100}. Choice B miscalculates 40+2740+27. Choice D adds only the original numerators without converting first (4+27=314+27=31).

Question 5

What is 310+27100\frac{3}{10} + \frac{27}{100}?

  1. 30100\frac{30}{100}
  2. 57100\frac{57}{100} (correct answer)
  3. 67100\frac{67}{100}
  4. 301000\frac{30}{1000}
Explanation: The correct answer is B, 57/100. Rewriting 3/10 as 30/100 and adding gives 30/100 + 27/100 = 57/100. Choice A, 30/100, is only the converted first fraction, not the final sum. Choice C, 67/100, comes from an addition error. Choice D, 30/1000, comes from converting to the wrong place value.

Question 6

What is 510+23100\frac{5}{10} + \frac{23}{100}?

  1. 73100\frac{73}{100} (correct answer)
  2. 28100\frac{28}{100}
  3. 83100\frac{83}{100}
  4. 50100\frac{50}{100}
Explanation: Rewrite 510\frac{5}{10} with a denominator of 100: 510=50100\frac{5}{10} = \frac{50}{100}. Then add: 50100+23100=73100\frac{50}{100} + \frac{23}{100} = \frac{73}{100}. Choice B adds only the numerators of the original fractions without converting first (5+23=285+23=28). Choice C miscalculates 50+2350+23. Choice D repeats the converted value of 510\frac{5}{10} without adding 23100\frac{23}{100}.

Question 7

Convert 610\frac{6}{10} to hundredths and add 9100\frac{9}{100}. Show the common denominator 100: 610=60100\frac{6}{10}=\frac{60}{100}, so 60100+9100=69100\frac{60}{100}+\frac{9}{100}=\frac{69}{100}. What is the sum?

  1. 15100\frac{15}{100}
  2. 60100\frac{60}{100}
  3. 68100\frac{68}{100}
  4. 69100\frac{69}{100} (correct answer)
Explanation: The correct answer is D, 69100\frac{69}{100}, because 60100+9100=69100\frac{60}{100} + \frac{9}{100} = \frac{69}{100}. Choice A comes from adding 6 + 9 directly without converting to hundredths first. Choice B stops after converting 610\frac{6}{10} and forgets to add the 9100\frac{9}{100}. Choice C is off by one from a simple addition slip.

Question 8

A science experiment requires 610\frac{6}{10} liter of water and 28100\frac{28}{100} liter of vinegar. If the total mixture must be less than 910\frac{9}{10} liter, does this recipe meet the requirement?

  1. Yes, because 88100<90100\frac{88}{100} < \frac{90}{100} liter total (correct answer)
  2. No, because 88100>90100\frac{88}{100} > \frac{90}{100} liter total
  3. Yes, because 34100<90100\frac{34}{100} < \frac{90}{100} liter total
  4. No, because 34100>90100\frac{34}{100} > \frac{90}{100} liter total
Explanation: Choice A is correct because 6/10 liter of water plus 28/100 liter of vinegar equals 88/100 liter, and 88/100 is less than 90/100 liter, so the recipe meets the requirement. Choice B is incorrect because it claims the mixture does not meet the requirement, but 88/100 is in fact less than 90/100. Choice C is incorrect because 34/100 is not the actual total of the two ingredients. Choice D is incorrect for the same reason, and it also draws the wrong conclusion about the requirement.

Question 9

What is 210+35100\frac{2}{10} + \frac{35}{100}?

  1. 20100\frac{20}{100}
  2. 55100\frac{55}{100} (correct answer)
  3. 37100\frac{37}{100}
  4. 65100\frac{65}{100}
Explanation: The correct answer is B, 55/100. Rewriting 2/10 as 20/100 and adding gives 20/100 + 35/100 = 55/100. Choice A, 20/100, is only the converted first fraction, not the final sum. Choice C, 37/100, comes from adding the original numerator 2 to 35 instead of first converting 2/10 to 20/100. Choice D, 65/100, comes from an addition error.

Question 10

Keisha has 610\frac{6}{10} of a dollar in dimes and 7100\frac{7}{100} of a dollar in pennies. Convert 610\frac{6}{10} to hundredths: 610=60100\frac{6}{10} = \frac{60}{100}. Then add: 60100+7100=60+7100\frac{60}{100} + \frac{7}{100} = \frac{60+7}{100}. What fraction of a dollar does she have?

  1. 67100\frac{67}{100} (correct answer)
  2. 13100\frac{13}{100}
  3. 77100\frac{77}{100}
  4. 60100\frac{60}{100}
Explanation: This question tests 4th grade ability to express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100 (CCSS.4.NF.5). To add fractions with denominators 10 and 100, we must first convert to a common denominator—100 is the common denominator since 100 = 10 × 10. The key relationship: 1/10 = 10/100 (one tenth equals ten hundredths), so any fraction a/10 = (10a)/100 by multiplying numerator and denominator by 10. Once both fractions have denominator 100, add the numerators and keep the denominator: (10a)/100 + b/100 = (10a + b)/100. Keisha has 6/10 of a dollar in dimes and 7/100 of a dollar in pennies; convert 6/10 to hundredths: 6/10 = (6 × 10)/100 = 60/100. Then add: 60/100 + 7/100 = (60 + 7)/100 = 67/100. Choice A is correct because converting 6/10: multiply numerator 6 × 10 = 60, denominator 10 × 10 = 100, giving 60/100; then adding: 60/100 + 7/100, add numerators: 60 + 7 = 67, keep denominator 100: 67/100. This demonstrates understanding that tenths must be expressed as hundredths before adding. Choice B represents adding without converting (added 6+7=13 directly), which happens when students don't recognize need for common denominator. To help students: Visualize with hundredths grid (10×10 squares)—each COLUMN is 1/10 = 10 squares, each SQUARE is 1/100. To convert tenths to hundredths, multiply numerator by 10: 6/10 = (6×10)/100 = 60/100. Check: count squares (60 squares for 6 columns). Then add: 60/100 + 7/100 = 67/100 (60 + 7 = 67 squares total). Connect to decimals: 6/10 = 0.6, 7/100 = 0.07, 0.6 + 0.07 = 0.67 = 67/100. Use money: 6 dimes (6/10 dollar) = 60 pennies (60/100 dollar), plus 7 pennies = 67 pennies = 67/100 dollar. Pattern: 1/10=10/100, 2/10=20/100, 6/10=60/100 (multiply numerator by 10). Watch for: not converting tenths to hundredths before adding, multiplying by wrong number, arithmetic errors, and adding denominators.

Question 11

Add: 310+4100\frac{3}{10} + \frac{4}{100}. What is the sum?

  1. 34100\frac{34}{100} (correct answer)
  2. 30100\frac{30}{100}
  3. 33100\frac{33}{100}
  4. 7100\frac{7}{100}
Explanation: 34100\frac{34}{100} is correct because 310=30100\frac{3}{10} = \frac{30}{100}, and 30100+4100=34100\frac{30}{100} + \frac{4}{100} = \frac{34}{100}. 30100\frac{30}{100} is incorrect because it only represents the converted first fraction. 33100\frac{33}{100} is incorrect because it is off by one from the correct sum. 7100\frac{7}{100} is incorrect because it adds the numerators without converting to a common denominator.

Question 12

Jamal wrote 510+23100\frac{5}{10}+\frac{23}{100}. He knows he must use a common denominator of 100. Convert: 510=50100\frac{5}{10}=\frac{50}{100}. Add: 50100+23100=□100\frac{50}{100}+\frac{23}{100}=\frac{\square}{100}. What is the sum?

  1. 28100\frac{28}{100}
  2. 72100\frac{72}{100}
  3. 73100\frac{73}{100} (correct answer)
  4. 50100\frac{50}{100}
Explanation: Choice C is correct because 50/100 plus 23/100 equals 73/100. Choice A is incorrect because it does not correctly add the two numerators. Choice B is incorrect because it is close to the correct sum but reflects an addition error of one hundredth. Choice D is incorrect because it only repeats the converted first fraction without adding the second.

Question 13

Add 310+4100\frac{3}{10}+\frac{4}{100}. First, convert 310\frac{3}{10} to an equivalent fraction with denominator 100: 310=30100\frac{3}{10}=\frac{30}{100}. Then add: 30100+4100=□100\frac{30}{100}+\frac{4}{100}=\frac{\square}{100}. What is the sum?

  1. 7100\frac{7}{100}
  2. 34100\frac{34}{100} (correct answer)
  3. 33100\frac{33}{100}
  4. 30100\frac{30}{100}
Explanation: Converting 3/10 to hundredths gives 30/100, and adding 30/100 plus 4/100 gives 34/100, making Choice B correct. Choice A, 7/100, comes from adding only the numerators 3 and 4 without converting to a common denominator first. Choice C, 33/100, comes from a small addition slip. Choice D, 30/100, is only the converted first fraction and leaves out the second addend entirely.

Question 14

Sofia has 610\frac{6}{10} of a dollar in dimes and 8100\frac{8}{100} of a dollar in pennies. Convert 610\frac{6}{10} to hundredths: 610=60100\frac{6}{10}=\frac{60}{100}. Then add: 60100+8100=□100\frac{60}{100}+\frac{8}{100}=\frac{\square}{100}. What fraction of a dollar does she have?

  1. 60100\frac{60}{100}
  2. 68100\frac{68}{100} (correct answer)
  3. 67100\frac{67}{100}
  4. 14100\frac{14}{100}
Explanation: This question tests 4th grade ability to express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100 (CCSS.4.NF.5). To add fractions with denominators 10 and 100, we must first convert to a common denominator—100=10×10100 = 10 \times 10. The key relationship: 110=10100\frac{1}{10} = \frac{10}{100} (one tenth equals ten hundredths), so any fraction a10=10a100\frac{a}{10} = \frac{10a}{100} by multiplying numerator and denominator by 10. Once both fractions have denominator 100, add the numerators and keep the denominator: 10a100+b100=10a+b100\frac{10a}{100} + \frac{b}{100} = \frac{10a + b}{100}. To add 610+8100\frac{6}{10} + \frac{8}{100}, first convert 610\frac{6}{10} to hundredths: 610=6×10100=60100\frac{6}{10} = \frac{6 \times 10}{100} = \frac{60}{100}. Then add: 60100+8100=60+8100=68100\frac{60}{100} + \frac{8}{100} = \frac{60 + 8}{100} = \frac{68}{100}. You can also think decimally: 610=0.6\frac{6}{10} = 0.6, 8100=0.08\frac{8}{100} = 0.08, sum = 0.680.68. Choice A is correct because converting 610\frac{6}{10}: multiply numerator 6×10=606 \times 10 = 60, denominator 10×10=10010 \times 10 = 100, giving 60100\frac{60}{100}; then adding: 60100+8100\frac{60}{100} + \frac{8}{100}, add numerators: 60+8=6860 + 8 = 68, keep denominator 100: 68100\frac{68}{100}. This demonstrates understanding that tenths must be expressed as hundredths before adding. Choice B represents adding without converting (added 6+8=146+8=14 directly), which happens when students don't recognize need for common denominator. To help students: Visualize with hundredths grid (10×1010\times10 squares)—each COLUMN is 110=10\frac{1}{10} = 10 squares, each SQUARE is 1100\frac{1}{100}. To convert tenths to hundredths, multiply numerator by 10: 610=6×10100=60100\frac{6}{10} = \frac{6\times10}{100} = \frac{60}{100}. Check: count squares (6060 squares for 6 columns). Then add: 60100+8100=68100\frac{60}{100} + \frac{8}{100} = \frac{68}{100} (60+8=6860 + 8 = 68 squares total). Connect to decimals: 610=0.6\frac{6}{10} = 0.6 (six tenths), 8100=0.08\frac{8}{100} = 0.08 (eight hundredths), 0.6+0.08=0.680.6 + 0.08 = 0.68 (sixty-eight hundredths) = 68100\frac{68}{100}. Use money: 6 dimes (610\frac{6}{10} dollar) = 60 pennies (60100\frac{60}{100} dollar), plus 8 pennies = 68 pennies = 68100\frac{68}{100} dollar. Pattern: 110=10100\frac{1}{10}=\frac{10}{100}, 210=20100\frac{2}{10}=\frac{20}{100}, 610=60100\frac{6}{10}=\frac{60}{100} (multiply numerator by 10). Watch for: not converting tenths to hundredths before adding, multiplying by wrong number, arithmetic errors, and adding denominators.

Question 15

A garden has two sections. The vegetable section covers 510\frac{5}{10} of the garden and the flower section covers 18100\frac{18}{100} of the garden. The rest is grass. What fraction represents the grass area?

  1. 23100\frac{23}{100}
  2. 68100\frac{68}{100}
  3. 77100\frac{77}{100}
  4. 32100\frac{32}{100} (correct answer)
Explanation: 32100\frac{32}{100} is correct because the vegetable and flower sections together cover 68100\frac{68}{100} of the garden, and 1−68100=321001 - \frac{68}{100} = \frac{32}{100}. 23100\frac{23}{100} is incorrect because it results from a subtraction slip. 68100\frac{68}{100} is incorrect because it is the combined vegetable and flower area, not the remaining grass. 77100\frac{77}{100} is incorrect because it does not match the correct total.

Question 16

Add 910+4100\frac{9}{10} + \frac{4}{100}. First, convert: 910=90100\frac{9}{10} = \frac{90}{100}. Then add: 90100+4100=90+4100\frac{90}{100} + \frac{4}{100} = \frac{90+4}{100}. What is the sum?

  1. 13100\frac{13}{100}
  2. 104100\frac{104}{100}
  3. 90100\frac{90}{100}
  4. 94100\frac{94}{100} (correct answer)
Explanation: The correct answer is D, 94100\frac{94}{100}, because 90100+4100=94100\frac{90}{100} + \frac{4}{100} = \frac{94}{100}. Choice A comes from adding 9 + 4 directly without converting to a common denominator first. Choice B comes from mistakenly adding an extra 10 to the numerator. Choice C stops after converting 910\frac{9}{10} and forgets to add the 4100\frac{4}{100}.

Question 17

A craft project requires three materials. Ribbon uses 110\frac{1}{10} of the budget, beads use 42100\frac{42}{100} of the budget, and fabric uses the remaining amount. If the total budget is exactly used up, what fraction of the budget is spent on fabric?

  1. Fabric costs 43100\frac{43}{100} of the total project budget
  2. Fabric costs 48100\frac{48}{100} of the total project budget (correct answer)
  3. Fabric costs 52100\frac{52}{100} of the total project budget
  4. Fabric costs 57100\frac{57}{100} of the total project budget
Explanation: Convert 110=10100\frac{1}{10} = \frac{10}{100}. Add known costs: 10100+42100=52100\frac{10}{100} + \frac{42}{100} = \frac{52}{100}. Subtract from total budget: 100100−52100=48100\frac{100}{100} - \frac{52}{100} = \frac{48}{100}. Choice A adds 1 + 42 = 43 without converting. Choice C shows the combined cost of ribbon and beads. Choice D incorrectly adds all three materials as 10 + 42 + 5 = 57.

Question 18

Add: 710+6100\frac{7}{10} + \frac{6}{100}. What is the sum?

  1. 13100\frac{13}{100}
  2. 76100\frac{76}{100} (correct answer)
  3. 77100\frac{77}{100}
  4. 70100\frac{70}{100}
Explanation: 76100\frac{76}{100} is correct because 710=70100\frac{7}{10} = \frac{70}{100}, and 70100+6100=76100\frac{70}{100} + \frac{6}{100} = \frac{76}{100}. 13100\frac{13}{100} is incorrect because it adds the numerators without converting to a common denominator. 77100\frac{77}{100} is incorrect because it is off by one from the correct sum. 70100\frac{70}{100} is incorrect because it only represents the converted first fraction.

Question 19

At a bake sale, chocolate chip cookies made up 810\frac{8}{10} of all cookies sold, and oatmeal cookies made up 15100\frac{15}{100} of all cookies sold. What fraction represents all other types of cookies combined?

  1. All other cookies represent 95100\frac{95}{100} of total sales
  2. All other cookies represent 23100\frac{23}{100} of total sales
  3. All other cookies represent 77100\frac{77}{100} of total sales
  4. All other cookies represent 5100\frac{5}{100} of total sales (correct answer)
Explanation: When you see a problem about parts of a whole, remember that all the parts must add up to 1 (or 100%). Here, you need to find what fraction is left after accounting for chocolate chip and oatmeal cookies. First, convert both fractions to the same denominator so you can work with them. The chocolate chip cookies are 810\frac{8}{10} of all cookies, which equals 80100\frac{80}{100} when you multiply both numerator and denominator by 10. The oatmeal cookies are already 15100\frac{15}{100}. Now add these known portions: 80100+15100=95100\frac{80}{100} + \frac{15}{100} = \frac{95}{100}. This means chocolate chip and oatmeal cookies together make up 95100\frac{95}{100} of all cookies sold. Since all cookies must equal 100100\frac{100}{100}, subtract to find the remaining portion: 100100−95100=5100\frac{100}{100} - \frac{95}{100} = \frac{5}{100}. This represents all other cookie types combined. Looking at the wrong answers: Choice A gives 95100\frac{95}{100}, which is actually the total of chocolate chip and oatmeal cookies, not the remaining portion. Choice B shows 23100\frac{23}{100}, which you might get if you incorrectly subtracted 15100−8100\frac{15}{100} - \frac{8}{100} instead of finding the remainder. Choice C gives 77100\frac{77}{100}, which appears if you only subtracted the oatmeal cookies from the total, forgetting about the chocolate chip cookies. Remember: when finding a missing part, convert fractions to common denominators first, then subtract the sum of known parts from the whole.

Question 20

Two athletes are training for a race. On Saturday, athlete A ran 910\frac{9}{10} of the total course and athlete B ran 55100\frac{55}{100} of the total course. How much more of the course did athlete A complete than athlete B?

  1. Athlete A ran 54100\frac{54}{100} more of the course than athlete B
  2. Athlete A ran 46100\frac{46}{100} more of the course than athlete B
  3. Athlete A ran 35100\frac{35}{100} more of the course than athlete B (correct answer)
  4. Athlete A ran 145100\frac{145}{100} more of the course than athlete B
Explanation: When you need to find how much more one fraction is than another, you're looking for the difference between them. This means you need to subtract the smaller fraction from the larger one. First, you need to compare 910\frac{9}{10} and 55100\frac{55}{100}. To subtract fractions, they must have the same denominator. Since 910=90100\frac{9}{10} = \frac{90}{100}, you can now see that athlete A ran 90100\frac{90}{100} of the course while athlete B ran 55100\frac{55}{100}. To find how much more athlete A ran, subtract: 90100−55100=35100\frac{90}{100} - \frac{55}{100} = \frac{35}{100}. This makes C the correct answer. Let's examine why the other answers are wrong. Choice A (54100\frac{54}{100}) likely comes from subtracting 55100−9100\frac{55}{100} - \frac{9}{100} instead of converting 910\frac{9}{10} to hundredths first. Choice B (46100\frac{46}{100}) might result from incorrectly converting 910\frac{9}{10} or making an arithmetic error during subtraction. Choice D (145100\frac{145}{100}) comes from adding the fractions instead of subtracting them (90100+55100=145100\frac{90}{100} + \frac{55}{100} = \frac{145}{100}). Remember: When comparing fractions, always convert them to the same denominator first. Look for key words like "how much more" or "difference" – these signal subtraction problems. Take your time converting fractions and double-check that you're performing the right operation.