{"questions":[{"uuid":"04822ee1-f31a-4495-8211-5ce9da8c4090","question":"Which of the following shows the correct way to write the decimal number for seventy-five hundredths?","duration":30,"imageURL":null,"htmlEnabled":true,"imageEnabled":false,"additionalContent":"","latexEnabled":false,"audioEnabled":false,"textToSpeechEnabled":false,"hint":"Remember that the first digit after the decimal point is tenths and the second digit is hundredths.","answerExplanation":"The decimal number for seventy-five hundredths is

0.75

because the digit 7 is in the tenths place and 5 is in the hundredths place. Other options either reverse the digits or place the decimal incorrectly.","answer":"

0.75

","alternatives":["

0.57

","

7.5

","

75.0

"],"answerPositions":[1,0,2,3]},{"uuid":"8582a235-1ec9-438a-95cc-0e2153937132","question":"The decimal number

0.5

is the same as the fraction

\\frac{1}{2}

.","duration":30,"imageURL":null,"htmlEnabled":true,"imageEnabled":false,"additionalContent":"","latexEnabled":false,"audioEnabled":false,"textToSpeechEnabled":false,"hint":"Think about how decimals and fractions represent parts of a whole.","answerExplanation":"The decimal

0.5

represents five tenths, which is equivalent to the fraction

\\frac{1}{2}

when simplified. Both represent the same quantity, so the statement is true.","answer":"boolean://true","alternatives":["True","False"]},{"uuid":"b80a083e-6813-4cb4-9f2d-f870833d7f57","question":"What is the place value of the digit 7 in the decimal number 3.742?","duration":30,"imageURL":null,"htmlEnabled":true,"imageEnabled":false,"additionalContent":"","latexEnabled":false,"audioEnabled":false,"textToSpeechEnabled":false,"hint":"Look at the first digit to the right of the decimal point to find its place value.","answerExplanation":"In the decimal number 3.742, the digit 7 is the first digit after the decimal point, which means it is in the tenths place. Understanding place value is important before adding or subtracting decimal fractions.","answer":"freetext://tenths","alternatives":[]},{"uuid":"6a757c62-bbc3-4a0e-8029-21669dcd381e","question":"Match each decimal number on the left with its correct expanded form on the right.","duration":30,"imageURL":null,"htmlEnabled":true,"imageEnabled":false,"additionalContent":"","latexEnabled":false,"audioEnabled":false,"textToSpeechEnabled":false,"hint":"Think about how each decimal number is broken down into parts based on place value: tenths, hundredths, and thousandths.","answerExplanation":"Each decimal number is expressed as a sum of its parts according to place value. For example,

3.42

is 3 ones plus 4 tenths plus 2 hundredths. Matching the decimal to its expanded form shows understanding of decimal place values, which is essential before adding or subtracting decimals.","answer":"linking://

3.42

| 3 + \\frac{4}{10} + \\frac{2}{100} :

0.507

| 0 + \\frac{5}{10} + \\frac{0}{100} + \\frac{7}{1000} :

12.3

| 10 + 2 + \\frac{3}{10} :

0.09

| 0 + 0 + \\frac{9}{100}","alternatives":["","",""]},{"uuid":"ef65c43e-b19e-4932-813d-a620dabf23fb","question":"Put the following steps in the correct order to compare two decimal fractions.","duration":30,"imageURL":null,"htmlEnabled":true,"imageEnabled":false,"additionalContent":"","latexEnabled":false,"audioEnabled":false,"textToSpeechEnabled":false,"hint":"Remember to start by aligning the decimal points before comparing digits from left to right.","answerExplanation":"To compare decimal fractions correctly, you first align the decimal points to ensure place values match. Then, compare the whole number parts; if they are equal, compare the decimal digits from left to right until you find a difference. The first differing digit determines which decimal is greater.","answer":"ordering://Line up the decimal points of both numbers. | 1 : Compare the digits in the whole number part (to the left of the decimal). | 2 : Compare the digits in the decimal part (to the right of the decimal) from left to right. | 3 : Decide which decimal fraction is greater based on the first different digit. | 4","alternatives":["","",""]},{"uuid":"a6460382-b838-4673-9a32-f9f3919afecd","question":"Sort each item into the correct category.","duration":30,"imageURL":null,"htmlEnabled":true,"imageEnabled":false,"additionalContent":"","latexEnabled":false,"audioEnabled":false,"textToSpeechEnabled":false,"hint":"Think about whether the decimal numbers are written with tenths, hundredths, or thousandths places to help you group them.","answerExplanation":"The groups are based on the place value of the decimal fractions. Numbers with one digit after the decimal point are tenths, two digits are hundredths, and three digits are thousandths. Recognizing these place values is important before adding or subtracting decimals.","answer":"sorting://Tenths |

3.7

0.5

9.1

: Hundredths |

4.25

0.08

7.99

: Thousandths |

2.346

0.007

5.123

","alternatives":["","",""]},{"uuid":"0bbaff6c-75f2-46bb-a2e4-2caba9995306","question":"Arrange the steps to compare two decimal numbers in the correct order.","duration":30,"imageURL":null,"htmlEnabled":true,"imageEnabled":false,"additionalContent":"","latexEnabled":false,"audioEnabled":false,"textToSpeechEnabled":false,"hint":"Think about how you look at each digit from left to right to decide which decimal is greater.","answerExplanation":"When comparing decimals, you start by comparing the digits in the highest place value (like the ones place), then move right to the tenths, hundredths, and so on. This left-to-right comparison helps determine which decimal is larger or if they are equal.","answer":"jumble://Compare,Digits,Place,Value","alternatives":["","",""]},{"uuid":"a530da4c-5e8d-4465-b174-ce2dbfc89004","question":"Unscramble the letters to find the term that describes a number with digits to the right of the decimal point.","duration":30,"imageURL":null,"htmlEnabled":true,"imageEnabled":false,"additionalContent":"","latexEnabled":false,"audioEnabled":false,"textToSpeechEnabled":false,"hint":"This word relates to numbers that include a dot separating whole numbers from parts less than one.","answerExplanation":"The word 'decimal' refers to the base-10 number system and specifically to numbers that have digits after the decimal point, which is essential for understanding decimal fractions. Recognizing this term helps students grasp the concept of numbers that are not whole, a prerequisite for adding and subtracting decimal fractions.","answer":"scrambled://decimal","alternatives":["","",""]},{"uuid":"4b2d4be8-c450-4442-9c68-aa7f2f05b73b","question":"Which of the following statements show correct understanding of decimal fractions before learning how to add or subtract them? (Select all that apply)","duration":30,"imageURL":null,"htmlEnabled":true,"imageEnabled":false,"additionalContent":"","latexEnabled":false,"audioEnabled":false,"textToSpeechEnabled":false,"hint":"Think about what the decimal point does and what place values digits have in decimal fractions.","answerExplanation":"The correct answers are that

0.5

means 5 parts out of 10, and that the decimal point separates the whole number from the fractional part. These are foundational concepts about decimal fractions. The other options confuse place values or incorrectly limit decimal digits, which are not true prerequisites.","answer":"sorting://true | A decimal fraction like

0.5

means 5 parts out of 10.,The decimal point separates the whole number from the fractional part. : false | In

0.25

, the 5 is in the tenths place.,A decimal fraction can only have one digit after the decimal point.,The number

1.0

is the same as the whole number 1.","uxOptions":"checkboxes","answerPositions":[0,1,2,3,4],"alternatives":["","",""]},{"uuid":"fa7ea13e-3669-43de-b9c9-72525d1a8e79","question":"Which of the following shows the correct way to write the decimal number for \"three and seventy-five hundredths\"?","duration":30,"imageURL":null,"htmlEnabled":true,"imageEnabled":false,"additionalContent":"","latexEnabled":false,"audioEnabled":false,"textToSpeechEnabled":false,"hint":"Think about how decimals represent parts of a whole and how place value works for hundredths.","answerExplanation":"The number \"three and seventy-five hundredths\" is correctly written as

3.75

3.750

because the trailing zero does not change the value. Writing it as a mixed number

3\\frac{75}{100}

is also correct and shows understanding of fractions and decimals. The other options either use incorrect decimal separators, add extra digits, or do not represent seventy-five hundredths accurately.","answer":"multiplem://

3\\frac{75}{100}

| 3 :

3.750

| 4","alternatives":["

3.75

","

3,75

","

3.075

","

3.7

"],"answerPositions":[4,5,0,1,2,3]}]}

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