[
{
"id": 9077,
"q": "Convert \\(\\dfrac{23}{5}\\) to a mixed number.",
"answers": [
"$$5\\frac{1}{5}$$",
"$$5\\frac{2}{5}$$",
"$$4\\frac{2}{5}$$",
"$$4\\frac{3}{5}$$"
],
"correct_index": 3,
"solution": "Divide the numerator by the denominator: 23 ÷ 5.
• 5 goes into 23 four times: 4 × 5 = 20
• Remainder: 23 − 20 = 3
• So \\(\\dfrac{23}{5}\\) = 4\\(\\dfrac{3}{5}\\)
Final Answer: D: 4\\(\\dfrac{3}{5}\\)"
},
{
"id": 9078,
"q": "Convert \\(\\dfrac{19}{4}\\) to a mixed number.",
"answers": [
"$$4\\frac{3}{4}$$",
"$$4\\frac{1}{2}$$",
"$$4\\frac{1}{4}$$",
"$$5\\frac{1}{4}$$"
],
"correct_index": 0,
"solution": "Divide the numerator by the denominator: 19 ÷ 4.
• 4 goes into 19 four times: 4 × 4 = 16
• Remainder: 19 − 16 = 3
• So \\(\\dfrac{19}{4}\\) = 4\\(\\dfrac{3}{4}\\)
Final Answer: A: 4\\(\\dfrac{3}{4}\\)"
},
{
"id": 9079,
"q": "Convert 5\\(\\dfrac{1}{5}\\) to a improper fraction.",
"answers": [
"$$\\frac{24}{5}$$",
"$$\\frac{26}{5}$$",
"$$\\frac{27}{5}$$",
"$$\\frac{11}{5}$$"
],
"correct_index": 1,
"solution": "Multiply the whole number by the denominator, then add the numerator.
• Whole number = 5, denominator = 5, numerator of fraction part = 1
• 5 × 5 = 25
• 25 + 1 = 26
• Denominator stays as 5
• So 5\\(\\dfrac{1}{5}\\) = \\(\\dfrac{26}{5}\\)
Final Answer: B: \\(\\dfrac{26}{5}\\)"
},
{
"id": 9082,
"q": "In 12.756, which digit is in the hundredths place?",
"answers": [
"5",
"7",
"6",
"2"
],
"correct_index": 0,
"solution": "In 12.756, identify each digit's place:
\r\n• 1 → tens
\r\n• 2 → ones
\r\n• 7 (first decimal) → tenths
\r\n• 5 (second decimal) → hundredths
\r\n• 6 (third decimal) → thousandths
\r\nThe digit in the hundredths place is 5.
\r\nFinal Answer: A: 5"
},
{
"id": 9083,
"q": "In 89.245, what is the digit in the tenths place?",
"answers": [
"4",
"2",
"5",
"8"
],
"correct_index": 1,
"solution": "In 89.245, identify the digit at each place value.
• tenths: 2
• hundredths: 4
• thousandths: 5
The digit in the tenths place is 2.
Final Answer: B: 2"
},
{
"id": 9084,
"q": "In 45.672, which digit represents the thousandths place?",
"answers": [
"7",
"6",
"2",
"4"
],
"correct_index": 2,
"solution": "In 45.672, identify the digit at each place value.
• tenths: 6
• hundredths: 7
• thousandths: 2
The digit in the thousandths place is 2.
Final Answer: C: 2"
},
{
"id": 9085,
"q": "In 23.489, what digit is found in the tenths place?",
"answers": [
"8",
"4",
"9",
"2"
],
"correct_index": 1,
"solution": "In 23.489, identify each digit's place:
\r\n• 2 → tens
\r\n• 3 → ones
\r\n• 4 (first decimal) → tenths
\r\n• 8 (second decimal) → hundredths
\r\n• 9 (third decimal) → thousandths
\r\nThe digit in the tenths place is 4.
\r\nFinal Answer: B: 4"
},
{
"id": 9086,
"q": "In 78.156, what is the digit in tenths place?",
"answers": [
"5",
"1",
"6",
"8"
],
"correct_index": 1,
"solution": "In 78.156, identify the digit at each place value.
• tenths: 1
• hundredths: 5
• thousandths: 6
The digit in the tenths place is 1.
Final Answer: B: 1"
},
{
"id": 9087,
"q": "In 67.903, which digit is in the thousandths place?",
"answers": [
"0",
"9",
"3",
"6"
],
"correct_index": 2,
"solution": "In 67.903, identify the digit at each place value.
• tenths: 9
• hundredths: 0
• thousandths: 3
The digit in the thousandths place is 3.
Final Answer: C: 3"
},
{
"id": 9088,
"q": "In 90.512, what digit is in the tenths place?",
"answers": [
"1",
"5",
"2",
"9"
],
"correct_index": 1,
"solution": "In 90.512, identify each digit's place:
\r\n• 9 → tens
\r\n• 0 → ones
\r\n• 5 (first decimal) → tenths
\r\n• 1 (second decimal) → hundredths
\r\n• 2 (third decimal) → thousandths
\r\nThe digit in the tenths place is 5.
\r\nFinal Answer: B: 5"
},
{
"id": 9089,
"q": "In 11.234, which digit is in the thousandths place?",
"answers": [
"3",
"2",
"4",
"1"
],
"correct_index": 2,
"solution": "In 11.234, identify the digit at each place value.
• tenths: 2
• hundredths: 3
• thousandths: 4
The digit in the thousandths place is 4.
Final Answer: C: 4"
}
]