{"id":147057,"date":"2022-11-09T23:11:22","date_gmt":"2022-11-09T17:41:22","guid":{"rendered":"https:\/\/ccssanswers.com\/?p=147057"},"modified":"2022-11-09T23:11:22","modified_gmt":"2022-11-09T17:41:22","slug":"spectrum-math-grade-7-chapter-1-posttest-answer-key","status":"publish","type":"post","link":"https:\/\/ccssanswers.com\/spectrum-math-grade-7-chapter-1-posttest-answer-key\/","title":{"rendered":"Spectrum Math Grade 7 Chapter 1 Posttest Answer Key"},"content":{"rendered":"

This handy Spectrum Math Grade 7 Answer Key<\/a><\/strong> Chapter 1 Posttest<\/strong>\u00a0provides detailed answers for the workbook questions<\/p>\n

Spectrum Math Grade 7 Chapter 1 Posttest Answers Key<\/h2>\n

Check What You Learned<\/strong><\/p>\n

Adding and Subtracting Rational Numbers<\/strong><\/p>\n

Evaluate each expression.<\/strong><\/p>\n

Question 1.
\na. opposite of -54 _____
\nAnswer: \u00a054
\nopposite of -54 is 54
\n<\/strong>-54 and 54 are absolute value because they are the same distance from zero on opposite sides of the number line.
\nAbsolute value describes\u00a0the distance from zero that a number is on the number line, without considering direction. The absolute value of a number is never negative.<\/p>\n

b. opposite of 19 ____
\nAnswer: -19
\nopposite of 19 is\u00a0-19
\n<\/strong>-19 and 19 are absolute value because they are the same distance from zero on opposite sides of the number line.
\nAbsolute value describes\u00a0the distance from zero that a number is on the number line, without considering direction. The absolute value of a number is never negative.<\/p>\n

c. opposite of 31 ____
\nAnswer: -31
\nopposite of 31 is -31
\n<\/strong>-31 and 31 are absolute value because they are the same distance from zero on opposite sides of the number line.
\nAbsolute value describes\u00a0the distance from zero that a number is on the number line, without considering direction. The absolute value of a number is never negative.<\/p>\n

Question 2.
\na. opposite of -6 ____
\nAnswer: \u00a06
\nopposite of -6 is 6
\n<\/strong>-6 and 6 are absolute value because they are the same distance from zero on opposite sides of the number line.
\nAbsolute value describes\u00a0the distance from zero that a number is on the number line, without considering direction. The absolute value of a number is never negative.<\/p>\n

b. opposite of 21 ____
\nAnswer: -21
\nopposite of 21 is -21
\n<\/strong>-21 and 21 are absolute value because they are the same distance from zero on opposite sides of the number line.
\nAbsolute value describes\u00a0the distance from zero that a number is on the number line, without considering direction. The absolute value of a number is never negative.<\/p>\n

c. opposite of -10 ____
\nAnswer: 10
\nopposite of -10 is 10
\n<\/strong>-10 and 10 are absolute value because they are the same distance from zero on opposite sides of the number line.
\nAbsolute value describes\u00a0the distance from zero that a number is on the number line, without considering direction. The absolute value of a number is never negative.<\/p>\n

Question 3.
\na. opposite of 54 ____
\nAnswer: -54
\nopposite of 54 is -54
\n<\/strong>-54 and 54 are absolute value because they are the same distance from zero on opposite sides of the number line.
\nAbsolute value describes\u00a0the distance from zero that a number is on the number line, without considering direction. The absolute value of a number is never negative.<\/p>\n

b. opposite of -34 ___
\nAnswer: 34
\nopposite of -34 is 34
\n<\/strong>-34 and 34 are absolute value because they are the same distance from zero on opposite sides of the number line.
\nAbsolute value describes\u00a0the distance from zero that a number is on the number line, without considering direction. The absolute value of a number is never negative.<\/p>\n

c. opposite of 86 ____
\nAnswer: -86
\nopposite of 86 is -86
\n<\/strong>-86 and 86 are absolute value because they are the same distance from zero on opposite sides of the number line.
\nAbsolute value describes\u00a0the distance from zero that a number is on the number line, without considering direction. The absolute value of a number is never negative.<\/p>\n

Question 4.
\na. |-35| = ____
\nAnswer: 35
\n|-35| = 35
\n-35 and 35 are absolute value because they are the same distance from zero on opposite sides of the number line.
\nAbsolute value describes\u00a0the distance from zero that a number is on the number line, without considering direction. The absolute value of a number is never negative.<\/p>\n

b. -|-43| = ____
\nAnswer: -43
\n-|-43| = -43
\n-43 and 43 are absolute value because they are the same distance from zero on opposite sides of the number line.
\nThe absolute value of a number is a number that is the same distance from zero on a number line. The distance is always a positive quantity (or zero). Absolute value is shown by vertical bars on each side of the number.<\/p>\n

c. |35| = ____
\nAnswer: 35
\n|35| = 35
\n-35 and 35 are absolute value because they are the same distance from zero on opposite sides of the number line.
\nThe absolute value of a number is a number that is the same distance from zero on a number line. The distance is always a positive quantity (or zero). Absolute value is shown by vertical bars on each side of the number.<\/p>\n

Question 5.
\na. -|75| = ___
\nAnswer: -75
\n-|75| = -75
\n-75 and 75 are absolute value because they are the same distance from zero on opposite sides of the number line.
\nThe absolute value of a number is a number that is the same distance from zero on a number line. The distance is always a positive quantity (or zero). Absolute value is shown by vertical bars on each side of the number.<\/p>\n

b. -|83| = ___
\nAnswer: -83
\n-|83| = -83
\n-83 and 83 are absolute value because they are the same distance from zero on opposite sides of the number line.
\nThe absolute value of a number is a number that is the same distance from zero on a number line. The distance is always a positive quantity (or zero). Absolute value is shown by vertical bars on each side of the number.<\/p>\n

c. -|99| = ____
\nAnswer: -99
\n-|99| = -99
\n-99 and 99 are absolute value because they are the same distance from zero on opposite sides of the number line.
\nThe absolute value of a number is a number that is the same distance from zero on a number line. The distance is always a positive quantity (or zero). Absolute value is shown by vertical bars on each side of the number.<\/p>\n

Identify the property of addition described as commutative, associative, or identity.<\/strong><\/p>\n

Question 6.
\nWhen two numbers are added, the sum is the same regardless of the order of addends.
\n_________
\nAnswer: commutative property
\nWhen two numbers are added, the sum is the same regardless of the order of addends =\u00a0 commutative property
\nAccording to the commutative property of addition, the sum is unaffected by changes in the order of the numbers being added. The commutative property of addition can be defined as the fact that adding two integers in any sequence results in the same result. Therefore, the commutative property of addition, when we add two integers, the answer will remain unchanged even if the position of the numbers are changed.<\/p>\n

Question 7.
\nWhen three or more are grouped numbers are added, the sum is the same regardless of how the addends are grouped.
\n______________
\nAnswer: associative property
\nWhen three or more are grouped numbers are added, the sum is the same regardless of how the addends are grouped = associative property
\nThe associative property of addition is a mathematical statement that states that the arrangement of three or more integers does not change their sum. This means that no matter how the numbers are grouped, the sum of three or more integers remains the same.<\/p>\n

Question 8.
\nThe sum of any number and zero is the original number.
\n___________
\nAnswer: identity property
\nThe sum of any number and zero is the original number. = identity property
\nAn identity in mathematics is a number, n, that results in the same number, n, when other numbers are added to it. The identity of the additive is always zero. This brings us to the\u00a0identity property of addition, which simply states that when you add zero to any number, it equals the number itself.<\/p>\n

Question 9.
\na. 4 + 1o = 10 + 4 ________________
\nAnswer:\u00a0 commutative property
\n4 + 10 = 10 + 4 = commutative property
\nAccording to the commutative property of addition, the sum is unaffected by changes in the order of the numbers being added. The commutative property of addition can be defined as the fact that adding two integers in any sequence results in the same result. Therefore, the commutative property of addition, when we add two integers, the answer will remain unchanged even if the position of the numbers are changed.<\/p>\n

b. 1 + (-1) = 0 ____
\nAnswer: commutative property
\n1 + (-1) = 0
\nAccording to the commutative property of addition, the sum is unaffected by changes in the order of the numbers being added. The commutative property of addition can be defined as the fact that adding two integers in any sequence results in the same result. Therefore, the commutative property of addition, when we add two integers, the answer will remain unchanged even if the position of the numbers are changed.<\/p>\n

Question 10.
\na. (1 + 8) + 2 = 1 + (8 + 2) _________
\nAnswer:\u00a0 associative property
\n(1 + 8) + 2 = 1 + (8 + 2) = associative property
\nThe associative property of addition is a mathematical statement that states that the arrangement of three or more integers does not change their sum. This means that no matter how the numbers are grouped, the sum of three or more integers remains the same.<\/p>\n

b. 3 + 5 = 5 + 3 _____
\nAnswer: commutative property
\n3 + 5 = 5 + 3 = commutative property
\nAccording to the commutative property of addition, the sum is unaffected by changes in the order of the numbers being added. The commutative property of addition can be defined as the fact that adding two integers in any sequence results in the same result. Therefore, the commutative property of addition, when we add two integers, the answer will remain unchanged even if the position of the numbers are changed.<\/p>\n

Question 11.
\na. 8 + 0 = 8 _____
\nAnswer: identity property
\n8 + 0 = 8 = identity property
\nAn identity in mathematics is a number, n, that results in the same number, n, when other numbers are added to it. The identity of the additive is always zero. This brings us to the\u00a0identity property of addition, which simply states that when you add zero to any number, it equals the number itself.<\/p>\n

b. 2 + (6 + 4) = (2 + 6) + 4 _____
\nAnswer: associative property
\n2 + (6 + 4) = (2 + 6) + 4 = associative property
\nThe associative property of addition is a mathematical statement that states that the arrangement of three or more integers does not change their sum. This means that no matter how the numbers are grouped, the sum of three or more integers remains the same.<\/p>\n

Question 12.
\na. 12 + 9 = 9 + 12 _____
\nAnswer: commutative property
\n12 + 9 = 9 + 12 = commutative property
\nAccording to the commutative property of addition, the sum is unaffected by changes in the order of the numbers being added. The commutative property of addition can be defined as the fact that adding two integers in any sequence results in the same result. Therefore, the commutative property of addition, when we add two integers, the answer will remain unchanged even if the position of the numbers are changed.<\/p>\n

b. (8 + 5) + 3 = 8 + (5 + 3) ________
\nAnswer: associative property
\n(8 + 5) + 3 = 8 + (5 + 3) = associative property
\nThe associative property of addition is a mathematical statement that states that the arrangement of three or more integers does not change their sum. This means that no matter how the numbers are grouped, the sum of three or more integers remains the same.<\/p>\n

Add or subtract. Write fractions in simplest form.<\/strong><\/p>\n

Question 13.
\na.
\n\"Spectrum
\nAnswer: 1\\(\\frac{61}{56}\\)
\n\\(\\frac{3}{8}\\) + 1\\(\\frac{5}{7}\\)
\nPartition the fractions and whole numbers to add them separately.
\n= (0 + 1) + \\(\\frac{3}{8}\\) + \\(\\frac{5}{7}\\)
\nTo add fractions or mixed numbers when the denominators are different, rename the fractions in such a way by multiplying denominator of one fraction with another, to make the denominators same.
\n= 1 + [\\(\\frac{3}{8}\\) x \\(\\frac{7}{7}\\)] + [\\(\\frac{5}{7}\\)\u00a0 x \\(\\frac{8}{8}\\)]
\n= 1 + \\(\\frac{21}{56}\\) + \\(\\frac{40}{56}\\)
\n= 1 + \\(\\frac{21 + 40}{56}\\)
\nAfter simplification,
\n= 1 + \\(\\frac{61}{56}\\)
\nTherefore, the result is given by,
\n= 1\\(\\frac{61}{56}\\)<\/p>\n

b.
\n\"Spectrum
\nAnswer: 5\\(\\frac{7}{12}\\)
\n2\\(\\frac{1}{4}\\) + 3\\(\\frac{1}{3}\\)
\nPartition the fractions and whole numbers to add them separately.
\n= (2 + 3) + \\(\\frac{1}{4}\\) + \\(\\frac{1}{3}\\)
\nTo add fractions or mixed numbers when the denominators are different, rename the fractions in such a way by multiplying denominator of one fraction with another, to make the denominators same.
\n= 5 + [\\(\\frac{1}{4}\\) x \\(\\frac{3}{3}\\)] + [\\(\\frac{1}{3}\\)\u00a0 x \\(\\frac{4}{4}\\)]
\n= 5 + \\(\\frac{3}{12}\\) + \\(\\frac{4}{12}\\)
\n= 5 + \\(\\frac{3 + 4}{12}\\)
\nAfter simplification,
\n= 5 + \\(\\frac{7}{12}\\)
\nTherefore, the result is given by,
\n= 5\\(\\frac{7}{12}\\)<\/p>\n

c.
\n\"Spectrum
\nAnswer: 3\\(\\frac{41}{24}\\)
\n1\\(\\frac{5}{6}\\) + 2\\(\\frac{7}{8}\\)
\nPartition the fractions and whole numbers to add them separately.
\n= (1 + 2) + \\(\\frac{5}{6}\\) + \\(\\frac{7}{8}\\)
\nTo add fractions or mixed numbers when the denominators are different, rename the fractions in such a way by multiplying denominator of one fraction with another, to make the denominators same.
\n= 3 + [\\(\\frac{5}{6}\\) x \\(\\frac{8}{8}\\)] + [\\(\\frac{7}{8}\\)\u00a0 x \\(\\frac{6}{6}\\)]
\n= 3 + \\(\\frac{40}{48}\\) + \\(\\frac{42}{48}\\)
\n= 3 + \\(\\frac{40 + 42}{48}\\)
\nAfter simplification,
\n= 3 + \\(\\frac{82}{48}\\)
\nTherefore, the result is given by,
\n= 3\\(\\frac{41}{24}\\)<\/p>\n

d.
\n\"Spectrum
\nAnswer: 6\\(\\frac{9}{8}\\)
\n4\\(\\frac{3}{4}\\) + 2\\(\\frac{3}{8}\\)
\nPartition the fractions and whole numbers to add them separately.
\n= (4 + 2) + \\(\\frac{3}{4}\\) + \\(\\frac{3}{8}\\)
\nTo add fractions or mixed numbers when the denominators are different, rename the fractions in such a way by multiplying denominator of one fraction with another, to make the denominators same.
\n= 6 + [\\(\\frac{3}{4}\\) x \\(\\frac{8}{8}\\)] + [\\(\\frac{3}{8}\\)\u00a0 x \\(\\frac{4}{4}\\)]
\n= 6 + \\(\\frac{24}{32}\\) + \\(\\frac{12}{32}\\)
\n= 6 + \\(\\frac{24 + 12}{32}\\)
\nAfter simplification,
\n= 6 + \\(\\frac{36}{32}\\)
\nTherefore, the result is given by,
\n= 6\\(\\frac{9}{8}\\)<\/p>\n

Question 14.
\na.
\n\"Spectrum
\nAnswer: 3\\(\\frac{5}{12}\\)
\n4\\(\\frac{2}{3}\\) – 1\\(\\frac{1}{4}\\)
\nPartition the fractions and whole numbers to subtract them separately.
\n= (4 – 1) + [\\(\\frac{2}{3}\\) – \\(\\frac{1}{4}\\)]
\nTo add fractions or mixed numbers when the denominators are different, rename the fractions in such a way by multiplying denominator of one fraction with another, to make the denominators same.
\n= 3 + [\\(\\frac{2}{3}\\) x \\(\\frac{4}{4}\\)] – [\\(\\frac{1}{4}\\)\u00a0 x \\(\\frac{3}{3}\\)]
\n= 3 + \\(\\frac{8}{12}\\) – \\(\\frac{3}{12}\\)
\n= 3 + \\(\\frac{8 – 3}{12}\\)
\nAfter simplification,
\n= 3 + \\(\\frac{5}{12}\\)
\nTherefore, the result is given by,
\n= 3\\(\\frac{5}{12}\\)<\/p>\n

b.
\n\"Spectrum
\nAnswer: \\(\\frac{7}{16}\\)
\n\\(\\frac{7}{8}\\) – \\(\\frac{1}{2}\\)
\nPartition the fractions and whole numbers to subtract them separately.
\n= \\(\\frac{7}{8}\\) – \\(\\frac{1}{2}\\)
\nTo add fractions or mixed numbers when the denominators are different, rename the fractions in such a way by multiplying denominator of one fraction with another, to make the denominators same.
\n= [\\(\\frac{7}{8}\\) x \\(\\frac{2}{2}\\)] – [\\(\\frac{1}{2}\\)\u00a0 x \\(\\frac{8}{8}\\)]
\n= \\(\\frac{14}{16}\\) – \\(\\frac{7}{16}\\)
\n= \\(\\frac{14 – 7}{16}\\)
\nAfter simplification,
\n= \\(\\frac{7}{16}\\)<\/p>\n

c.
\n\"Spectrum
\nAnswer: 2\\(\\frac{31}{70}\\)
\n4\\(\\frac{3}{10}\\) – 1\\(\\frac{6}{7}\\)
\nPartition the fractions and whole numbers to subtract them separately.
\n= (4 – 1) + [\\(\\frac{3}{10}\\) – \\(\\frac{6}{7}\\)]
\nTo add fractions or mixed numbers when the denominators are different, rename the fractions in such a way by multiplying denominator of one fraction with another, to make the denominators same.
\n= 3 + [\\(\\frac{3}{10}\\) x \\(\\frac{7}{7}\\)] – [\\(\\frac{6}{7}\\)\u00a0 x \\(\\frac{10}{10}\\)]
\n= 3 + \\(\\frac{21}{70}\\) – \\(\\frac{60}{70}\\)
\n= 2 + \\(\\frac{91}{70}\\) – \\(\\frac{60}{70}\\)
\n= 2 + \\(\\frac{91 – 60}{70}\\)
\nAfter simplification,
\n= 2 + \\(\\frac{31}{70}\\)
\nTherefore, the result is given by,
\n= 2\\(\\frac{31}{70}\\)<\/p>\n

d.
\n\"Spectrum
\nAnswer: 3\\(\\frac{13}{12}\\)
\n5\\(\\frac{1}{4}\\) – 2\\(\\frac{5}{6}\\)
\nPartition the fractions and whole numbers to subtract them separately.
\n= (5 – 2 ) + \\(\\frac{1}{4}\\) – \\(\\frac{5}{6}\\)
\nTo add fractions or mixed numbers when the denominators are different, rename the fractions in such a way by multiplying denominator of one fraction with another, to make the denominators same.
\n= 3 + [\\(\\frac{1}{4}\\) x \\(\\frac{6}{6}\\)] – [\\(\\frac{5}{6}\\)\u00a0 x \\(\\frac{4}{4}\\)]
\n= 3 + \\(\\frac{6}{24}\\) – \\(\\frac{20}{24}\\)
\n= 3 + \\(\\frac{6 + 20}{24}\\)
\nAfter simplification,
\n= 3 + \\(\\frac{26}{24}\\)
\nTherefore, the result is given by,
\n= 3\\(\\frac{13}{12}\\)<\/p>\n

Question 15.
\na. -6 + 4 = ____
\nAnswer: -2
\n-6 + 4 = -6 – (-4) = -2
\nSubtraction is the same as the process of adding the additive inverse, or opposite, of a number to another number.<\/p>\n

b. 7 + (-3) = ____
\nAnswer: 4
\n7 + (-3) = 7 – 3 = 4
\nSubtraction is the same as the process of adding the additive inverse, or opposite, of a number to another number.<\/p>\n

c. -5 + (-2) = ____
\nAnswer: -7
\n-5 + (-2) = – 5 -2 = -7
\nSubtraction is the same as the process of adding the additive inverse, or opposite, of a number to another number.<\/p>\n

Question 16.
\na. -9 + 12 = ___
\nAnswer: 3
\n-9 + 12 = -9 – (-12) = 3
\nSubtraction is the same as the process of adding the additive inverse, or opposite, of a number to another number.<\/p>\n

b. 8 + (-11) = ____
\nAnswer: -3
\n8 + (-11) = 8 – 11 = -3
\nSubtraction is the same as the process of adding the additive inverse, or opposite, of a number to another number.<\/p>\n

c. -4 + (-8) = ____
\nAnswer: -12
\n-4 + (-8) = -4\u00a0 – 8 = -12
\nSubtraction is the same as the process of adding the additive inverse, or opposite, of a number to another number.<\/p>\n

Question 17.
\na. 13 – 16 = ____
\nAnswer: -3
\n13 – 16 = 13 + (-16) = -3
\nSubtraction is the same as the process of adding the additive inverse, or opposite, of a number to another number.<\/p>\n

b. 9 – (-8) = ___
\nAnswer: 17
\n9 – (-8) = 9 + 8 = 17
\nSubtraction is the same as the process of adding the additive inverse, or opposite, of a number to another number.<\/p>\n

c. -3 – 7 = ____
\nAnswer: -10
\n-3 – 7 = -3 + (-7) = -10
\nSubtraction is the same as the process of adding the additive inverse, or opposite, of a number to another number.<\/p>\n

Solve each problem.<\/strong><\/p>\n

Question 18.
\nA large patio brick weighs 4\\(\\frac{3}{8}\\) pounds. A small patio brick weighs 2\\(\\frac{1}{3}\\) pounds. How much more does the large brick weigh?
\nThe large brick weighs ____ pounds more.
\nAnswer: 2\\(\\frac{17}{24}\\)
\nA large patio brick weighs 4\\(\\frac{3}{8}\\) pounds
\nA small patio brick weighs 2\\(\\frac{1}{3}\\) pounds
\nThe more does the large brick weigh = large patio brick – small patio brick
\n= 4\\(\\frac{3}{8}\\) – 2\\(\\frac{1}{3}\\)
\n4\\(\\frac{3}{8}\\) – 2\\(\\frac{1}{3}\\)
\nPartition the fractions and whole numbers to subtract them separately.
\n= (4 – 2) + \\(\\frac{3}{8}\\) – \\(\\frac{1}{3}\\)
\nTo add fractions or mixed numbers when the denominators are different, rename the fractions in such a way by multiplying denominator of one fraction with another, to make the denominators same.
\n= 2 + [\\(\\frac{3}{8}\\) x \\(\\frac{3}{3}\\)] – [\\(\\frac{1}{3}\\)\u00a0 x \\(\\frac{8}{8}\\)]
\n= 2 + \\(\\frac{9}{24}\\) – \\(\\frac{8}{24}\\)
\n= 2 + \\(\\frac{9 + 8 }{24}\\)
\nAfter simplification,
\n=2 + \\(\\frac{17}{24}\\)
\nTherefore, the result is given by,
\n= 2\\(\\frac{17}{24}\\)
\nTherefore, the large brick weighs 2\\(\\frac{17}{24}\\)pounds more.<\/p>\n

Question 19.
\nA small bottle holds \\(\\frac{1}{3}\\) of a liter. A large bottle holds 4\\(\\frac{1}{2}\\) liters. How much more does the large bottle hold?
\nThe large bottle holds ____ liters more.
\nAnswer: 4\\(\\frac{1}{6}\\)
\nA small bottle holds \\(\\frac{1}{3}\\) of a liter
\nA large bottle holds 4\\(\\frac{1}{2}\\) liters
\nThe number of more does the large bottle hold = 4\\(\\frac{1}{2}\\) – \\(\\frac{1}{3}\\)
\n4\\(\\frac{1}{2}\\) – \\(\\frac{1}{3}\\)
\nPartition the fractions and whole numbers to subtract them separately.
\n= (4 – 0) + \\(\\frac{1}{2}\\) – \\(\\frac{1}{3}\\)
\nTo add fractions or mixed numbers when the denominators are different, rename the fractions in such a way by multiplying denominator of one fraction with another, to make the denominators same.
\n= 4 + [\\(\\frac{1}{2}\\) x \\(\\frac{3}{3}\\)] – [\\(\\frac{1}{3}\\)\u00a0 x \\(\\frac{2}{2}\\)]
\n= 4 + \\(\\frac{3}{6}\\) – \\(\\frac{2}{6}\\)
\n= 4 + \\(\\frac{3 – 2 }{6}\\)
\nAfter simplification,
\n=4 + \\(\\frac{1}{6}\\)
\nTherefore, the result is given by,
\n= 4\\(\\frac{1}{6}\\)
\nThe large bottle holds \u00a04\\(\\frac{1}{6}\\) liters more.<\/p>\n

Question 20.
\nThe basketball team practiced 3\\(\\frac{1}{4}\\) hours on Monday and 2\\(\\frac{1}{3}\\) hours on Tuesday. How many hours has the team practiced so far this week?
\nThe team has practiced ____ hours this week.
\nAnswer: 5\\(\\frac{7}{24}\\)
\nThe basketball team practiced 3\\(\\frac{1}{4}\\) hours on Monday and 2\\(\\frac{1}{3}\\) hours on Tuesday. Therefore, total hours practiced by team so far this week = number of hours practiced on monday + number of hours practiced on tuesday
\n=\u00a0 3\\(\\frac{1}{4}\\) + 2\\(\\frac{1}{3}\\)
\nPartition the fractions and whole numbers to add them separately.
\n= (3 + 2) + \\(\\frac{1}{4}\\) + \\(\\frac{1}{3}\\)
\nTo add fractions or mixed numbers when the denominators are different, rename the fractions in such a way by multiplying denominator of one fraction with another, to make the denominators same.
\n= 5 + [\\(\\frac{1}{4}\\) x \\(\\frac{3}{3}\\)] + [\\(\\frac{1}{3}\\)\u00a0 x \\(\\frac{4}{4}\\)]
\n= 5 + \\(\\frac{3}{24}\\) + \\(\\frac{4}{24}\\)
\n= 5 + \\(\\frac{3 + 4 }{24}\\)
\nAfter simplification,
\n=5 + \\(\\frac{7}{24}\\)
\nTherefore, the result is given by,
\n= 5\\(\\frac{7}{24}\\)<\/p>\n","protected":false},"excerpt":{"rendered":"

This handy Spectrum Math Grade 7 Answer Key Chapter 1 Posttest\u00a0provides detailed answers for the workbook questions Spectrum Math Grade 7 Chapter 1 Posttest Answers Key Check What You Learned Adding and Subtracting Rational Numbers Evaluate each expression. Question 1. a. opposite of -54 _____ Answer: \u00a054 opposite of -54 is 54 -54 and 54 … Read more<\/a><\/p>\n","protected":false},"author":14,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[641],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/147057"}],"collection":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/users\/14"}],"replies":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/comments?post=147057"}],"version-history":[{"count":9,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/147057\/revisions"}],"predecessor-version":[{"id":161132,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/147057\/revisions\/161132"}],"wp:attachment":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media?parent=147057"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/categories?post=147057"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/tags?post=147057"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}