{"id":150239,"date":"2022-12-28T15:50:46","date_gmt":"2022-12-28T10:20:46","guid":{"rendered":"https:\/\/ccssanswers.com\/?p=150239"},"modified":"2022-12-28T15:50:46","modified_gmt":"2022-12-28T10:20:46","slug":"spectrum-math-grade-5-chapter-3-posttest-answer-key","status":"publish","type":"post","link":"https:\/\/ccssanswers.com\/spectrum-math-grade-5-chapter-3-posttest-answer-key\/","title":{"rendered":"Spectrum Math Grade 5 Chapter 3 Posttest Answer Key"},"content":{"rendered":"

Practice with the help of Spectrum Math Grade 5 Answer Key<\/a> Chapter 3 Posttest<\/b>\u00a0regularly and improve your accuracy in solving questions.<\/p>\n

Spectrum Math Grade 5 Chapter 3 Posttest Answers Key<\/h2>\n

Add or subtract.<\/strong><\/p>\n

Question 1.
\na.
\n\"Spectrum
\nAnswer:
\nWhile adding decimals, we need to remember some rules that would be helpful and make the addition easier.
\n– Align the decimal numbers in such a way that they are placed in the correct place according to their place values.
\n– Always convert the decimal numbers to like decimals, wherever needed.
\n– Add zeros in the places wherever the length of the decimal numbers is not the same.
\n– Now, add the numbers and place the decimal point aligned with the given decimal points.
\nWe can see that the given decimals are unlike, so we will convert them to like decimals by adding the required number of zeros. We will count the number of digits after the decimal point in both numbers and identify the higher one in them. In this case, 0.9 has one digit after the decimal, and 0.23 has two digits after the decimal. So, will make it 0.90 so that it becomes the same length as 0.23. Now, we will add the decimals numbers.
\n\"Spectrum
\nTherefore, the sum of the given decimals is 1.13<\/p>\n

b.
\n\"Spectrum
\nAnswer:
\nWhile adding decimals, we need to remember some rules that would be helpful and make the addition easier.
\n– Align the decimal numbers in such a way that they are placed in the correct place according to their place values.
\n– Always convert the decimal numbers to like decimals, wherever needed.
\n– Add zeros in the places wherever the length of the decimal numbers is not the same.
\n– Now, add the numbers and place the decimal point aligned with the given decimal points.
\n– If we observe the given decimals, we see that they are\u00a0like decimals, so, we will place them in order and do the regular addition.
\n\"Spectrum
\nTherefore, the sum of the given decimals is 79.41<\/p>\n

c.
\n\"Spectrum
\nAnswer:
\nWhile adding decimals, we need to remember some rules that would be helpful and make the addition easier.
\n– Align the decimal numbers in such a way that they are placed in the correct place according to their place values.
\n– Always convert the decimal numbers to like decimals, wherever needed.
\n– Add zeros in the places wherever the length of the decimal numbers is not the same.
\n– Now, add the numbers and place the decimal point aligned with the given decimal points.
\n– If we observe the given decimals, we see that they are\u00a0like decimals, so, we will place them in order and do the regular addition.
\n\"Spectrum
\nTherefore, the sum of the given decimals is 11.84<\/p>\n

d.
\n\"Spectrum
\nAnswer:
\nWhile adding decimals, we need to remember some rules that would be helpful and make the addition easier.
\n– Align the decimal numbers in such a way that they are placed in the correct place according to their place values.
\n– Always convert the decimal numbers to like decimals, wherever needed.
\n– Add zeros in the places wherever the length of the decimal numbers is not the same.
\n– Now, add the numbers and place the decimal point aligned with the given decimal points.
\n– If we observe the given decimals, we see that they are\u00a0like decimals, so, we will place them in order and do the regular addition.
\n\"Spectrum
\nTherefore, the sum of the given decimals is 57.81<\/p>\n

Question 2.
\na.
\n\"Spectrum
\nAnswer:
\nThere are certain rules and steps which should be remembered while subtracting decimals.
\n– Change the given decimal fractions to like decimals.
\n– Write the smaller number below the greater number in such a way that the digits are placed in the corresponding places and the decimal points are placed in the same vertical line.
\n– Then, subtract the numbers in the same way as in the case of whole numbers.
\n– After the subtraction, place the decimal point in line with the other decimal points.
\n– Subtracting decimals with the same number of decimal places is simple. We just need to do the simple process of subtraction and then place the decimal points according to the given numbers.
\n– We can see that the numbers have the same decimal places. So, we will subtract them in a regular way.
\n\"Spectrum
\nTherefore, the difference is 26.98<\/p>\n

<\/div>\n

b.
\n\"Spectrum
\nAnswer:
\nThere are certain rules and steps which should be remembered while subtracting decimals.
\n– Change the given decimal fractions to like decimals.
\n– Write the smaller number below the greater number in such a way that the digits are placed in the corresponding places and the decimal points are placed in the same vertical line.
\n– Then, subtract the numbers in the same way as in the case of whole numbers.
\n– After the subtraction, place the decimal point in line with the other decimal points.
\n– Subtracting decimals with the same number of decimal places is simple. We just need to do the simple process of subtraction and then place the decimal points according to the given numbers.
\n– We can see that the numbers have the same decimal places. So, we will subtract them in a regular way.
\n\"Spectrum
\nTherefore, the difference is 5.09<\/p>\n

c.
\n\"Spectrum
\nAnswer:
\nThere are certain rules and steps which should be remembered while subtracting decimals.
\n– Change the given decimal fractions to like decimals.
\n– Write the smaller number below the greater number in such a way that the digits are placed in the corresponding places and the decimal points are placed in the same vertical line.
\n– Then, subtract the numbers in the same way as in the case of whole numbers.
\n– After the subtraction, place the decimal point in line with the other decimal points.
\n– Subtracting decimals with the same number of decimal places is simple. We just need to do the simple process of subtraction and then place the decimal points according to the given numbers.
\n– We can see that the numbers have the same decimal places. So, we will subtract them in a regular way.
\n\"Spectrum
\nTherefore, the difference is 2.42<\/p>\n

d.
\n\"Spectrum
\nAnswer:
\nThere are certain rules and steps which should be remembered while subtracting decimals.
\n– Change the given decimal fractions to like decimals.
\n– Write the smaller number below the greater number in such a way that the digits are placed in the corresponding places and the decimal points are placed in the same vertical line.
\n– Then, subtract the numbers in the same way as in the case of whole numbers.
\n– After the subtraction, place the decimal point in line with the other decimal points.
\n– Subtracting decimals with the same number of decimal places is simple. We just need to do the simple process of subtraction and then place the decimal points according to the given numbers.
\n– We can see that the numbers have the same decimal places. So, we will subtract them in a regular way.
\n\"Spectrum
\nTherefore, the difference is 26.29<\/p>\n

Question 3.
\na.
\n\"Spectrum
\nAnswer:
\nWhile adding decimals, we need to remember some rules that would be helpful and make the addition easier.
\n– Align the decimal numbers in such a way that they are placed in the correct place according to their place values.
\n– Always convert the decimal numbers to like decimals, wherever needed.
\n– Add zeros in the places wherever the length of the decimal numbers is not the same.
\n– Now, add the numbers and place the decimal point aligned with the given decimal points.
\n– If we observe the given decimals, we see that they are\u00a0like decimals, so, we will place them in order and do the regular addition.
\n\"Spectrum
\nTherefore, the sum of the given decimals is 1.85<\/p>\n

b.
\n\"Spectrum
\nAnswer:
\nWhile adding decimals, we need to remember some rules that would be helpful and make the addition easier.
\n– Align the decimal numbers in such a way that they are placed in the correct place according to their place values.
\n– Always convert the decimal numbers to like decimals, wherever needed.
\n– Add zeros in the places wherever the length of the decimal numbers is not the same.
\n– Now, add the numbers and place the decimal point aligned with the given decimal points.
\n– If we observe the given decimals, we see that they are\u00a0like decimals, so, we will place them in order and do the regular addition.
\n\"Spectrum
\nTherefore, the sum of the given decimals is 27.46<\/p>\n

c.
\n\"Spectrum
\nAnswer:
\nThere are certain rules and steps which should be remembered while subtracting decimals.
\n– Change the given decimal fractions to like decimals.
\n– Write the smaller number below the greater number in such a way that the digits are placed in the corresponding places and the decimal points are placed in the same vertical line.
\n– Then, subtract the numbers in the same way as in the case of whole numbers.
\n– After the subtraction, place the decimal point in line with the other decimal points.
\n– Subtracting decimals with the same number of decimal places is simple. We just need to do the simple process of subtraction and then place the decimal points according to the given numbers.
\n– We can see that the numbers have the same decimal places. So, we will subtract them in a regular way.
\n\"Spectrum
\nTherefore, the difference is 38.80<\/p>\n

d.
\n\"Spectrum
\nAnswer:
\nWhile adding decimals, we need to remember some rules that would be helpful and make the addition easier.
\n– Align the decimal numbers in such a way that they are placed in the correct place according to their place values.
\n– Always convert the decimal numbers to like decimals, wherever needed.
\n– Add zeros in the places wherever the length of the decimal numbers is not the same.
\n– Now, add the numbers and place the decimal point aligned with the given decimal points.
\n– If we observe the given decimals, we see that they are\u00a0like decimals, so, we will place them in order and do the regular addition.
\n\"Spectrum
\nTherefore, the sum of the given decimals is 137.41<\/p>\n

Multiply or divide.<\/strong><\/p>\n

Question 4.
\na.
\n\"Spectrum
\nAnswer:
\nMultiplication of a decimal number by another decimal can be performed similarly to the multiplication of whole numbers except keeping the decimal point in the result. The below figure shows the process of multiplying decimal numbers by another decimal number.
\nsteps:
\n1. Multiply both decimal numbers as whole numbers by removing the decimal point.
\n62 x 4 = 248
\n2. Count the number of digits to the right of the decimal point in both decimal numbers.
\nThus, the number of digits after the decimal point in 6.2 = 1
\nAnd the number of decimal places in 0.4 = 1
\n3. Add the number of digits counted for the decimal point.
\nTotal number of decimal places = 1 + 1 = 2
\n4. Put the decimal point in the product by counting the same digits as obtained in the previous step from its rightmost place.
\n\u2013 As the total number of decimal places is 2, the resultant product must contain the decimal point after 2 digits from the rightmost place.
\n\"Spectrum
\n\u2013 Therefore, the product of the given decimals is 2.48<\/p>\n

b.
\n\"Spectrum
\nAnswer:
\nMultiplication of a decimal number by another decimal can be performed similarly to the multiplication of whole numbers except keeping the decimal point in the result. The below figure shows the process of multiplying decimal numbers by another decimal number.
\nsteps:
\n1. Multiply both decimal numbers as whole numbers by removing the decimal point.
\n305 x 283 = 86315
\n\"Spectrum
\n2. Count the number of digits to the right of the decimal point in both decimal numbers.
\nThus, the number of digits after the decimal point in 3.05 = 2
\nAnd the number of decimal places in 2.83 = 2
\n3. Add the number of digits counted for the decimal point.
\nTotal number of decimal places = 2 + 2 = 4
\n4. Put the decimal point in the product by counting the same digits as obtained in the previous step from its rightmost place.
\n\u2013 As the total number of decimal places is 4, the resultant product must contain the decimal point after 4 digits from the rightmost place.
\n\u2013 Therefore, the product of the given decimals is 8.6315<\/p>\n

c.
\n\"Spectrum
\nAnswer:
\nMultiplication of a decimal number by another decimal can be performed similarly to the multiplication of whole numbers except keeping the decimal point in the result. The below figure shows the process of multiplying decimal numbers by another decimal number.
\nsteps:
\n1. Multiply both decimal numbers as whole numbers by removing the decimal point.
\n\"Spectrum
\n2. Count the number of digits to the right of the decimal point in both decimal numbers.
\nThus, the number of digits after the decimal point in 5.73 = 2
\nAnd the number of decimal places in 2.83 = 2
\n3. Add the number of digits counted for the decimal point.
\nTotal number of decimal places = 2 + 2 = 4
\n4. Put the decimal point in the product by counting the same digits as obtained in the previous step from its rightmost place.
\n\u2013 As the total number of decimal places is 4, the resultant product must contain the decimal point after 4 digits from the rightmost place.
\n\u2013 Therefore, the product of the given decimals is 16.2159<\/p>\n

d.
\n\"Spectrum
\nAnswer:
\nMultiplication of a decimal number by another decimal can be performed similarly to the multiplication of whole numbers except keeping the decimal point in the result. The below figure shows the process of multiplying decimal numbers by another decimal number.
\nsteps:
\n1. Multiply both decimal numbers as whole numbers by removing the decimal point.
\n\"Spectrum
\n2. Count the number of digits to the right of the decimal point in both decimal numbers.
\nThus, the number of digits after the decimal point in 4.03 = 2
\nAnd the number of decimal places in 1.1 = 1
\n3. Add the number of digits counted for the decimal point.
\nTotal number of decimal places = 1 + 2 = 3
\n4. Put the decimal point in the product by counting the same digits as obtained in the previous step from its rightmost place.
\n\u2013 As the total number of decimal places is 3, the resultant product must contain the decimal point after 3 digits from the rightmost place.
\n\u2013 Therefore, the product of the given decimals is 4.433<\/p>\n

Question 5.
\na.
\n\"Spectrum
\nAnswer:
\nThere will be certain\u00a0rules for dividing decimals\u00a0in maths. These can be observed from the illustrative examples below.
\nStep 1: Write the given division expression in the standard form.
\nStep 2: Now, we have to divide the decimal number\u2019s whole number part by the divisor.
\nStep 3: Place the decimal point in the quotient above the dividend\u2019s decimal point and then bring down the tenth digit.
\nStep 4: If the tenth digit of the obtained dividend cannot be divided by the divisor, write 0 in the quotient and in front of the tenth digit. Otherwise, proceed with the division process.
\nStep 5: Repeat the above step and keep adding the zeroes in the dividend until 0 is obtained in the remainder.
\nChange the divisor 0.25 to a whole number by moving the decimal point 2 places to the right. Then move the decimal point in the dividend the same, 2 places to the right.
\nWe then have the equations:
\n6500 \u00f7 25 = 260.00
\nand therefore:
\n65 \u00f7 0.25 = 260.00
\nBoth were calculated to 2 decimal places.
\n\"Spectrum
\nTherefore, the remainder is 0 and the quotient is 260.<\/p>\n

b.
\n\"Spectrum
\nAnswer:
\nThere will be certain\u00a0rules for dividing decimals\u00a0in maths. These can be observed from the illustrative examples below.
\nStep 1: Write the given division expression in the standard form.
\nStep 2: Now, we have to divide the decimal number\u2019s whole number part by the divisor.
\nStep 3: Place the decimal point in the quotient above the dividend\u2019s decimal point and then bring down the tenth digit.
\nStep 4: If the tenth digit of the obtained dividend cannot be divided by the divisor, write 0 in the quotient and in front of the tenth digit. Otherwise, proceed with the division process.
\nStep 5: Repeat the above step and keep adding the zeroes in the dividend until 0 is obtained in the remainder.
\nChange the divisor 0.04 to a whole number by moving the decimal point 2 places to the right. Then move the decimal point in the dividend the same, 2 places to the right.
\nWe then have the equations:
\n1900 \u00f7 4 = 475.00
\nand therefore:
\n19 \u00f7 0.04 = 475.00
\nBoth were calculated to 2 decimal places.
\n\"Spectrum
\nTherefore, the remainder is 0 and the quotient is 475<\/p>\n

c.
\n\"Spectrum
\nAnswer:
\nWhen we divide decimals, we have to convert the divisor to a whole number by moving the decimal point to the right. Then, we carry the dividend\u2019s decimal point up to the same number of places to the right and divide the resultant numbers in the usual way as we perform in regular long division.
\nChange the divisor 0.7 to a whole number by moving the decimal point 1 place to the right. Then move the decimal point in the dividend the same, 1 place to the right.
\nWe then have the equations:
\n132.3 \u00f7 7 = 18.90
\nand therefore:
\n13.23 \u00f7 0.7 = 18.90
\nBoth were calculated to 2 decimal places.
\n\"Spectrum
\nTherefore, the remainder is 0 and the quotient is 18.9<\/p>\n

d.
\n\"Spectrum
\nAnswer:
\nWhen we divide decimals, we have to convert the divisor to a whole number by moving the decimal point to the right. Then, we carry the dividend\u2019s decimal point up to the same number of places to the right and divide the resultant numbers in the usual way as we perform in regular long division.
\nChange the divisor 1.3 to a whole number by moving the decimal point 1 place to the right. Then move the decimal point in the dividend the same, 1 place to the right.
\nWe then have the equations:
\n28.6 \u00f7 13 = 2.20
\nand therefore:
\n2.86 \u00f7 1.3 = 2.20
\nBoth were calculated to 2 decimal places
\n\"Spectrum
\nTherefore, the remainder is 0 and the quotient is 2.20<\/p>\n

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

Question 6.
\nSheila bought three books for $12.63, $9.05, and $ 14.97. How much did she spend?
\nSheila spent __________ on the three books.
\nAnswer:
\nThe above-given:
\nThe number Sheila bought = 3
\nThe cost of book 1 = $12.63
\nThe cost of book 2 = $9.05
\nThe cost of book 3 = $14.97
\nThe amount she spends on the three books = b
\nBased on the given conditions, we can formulate:
\nb = 12.63 + 9.05 + 14.97
\nb = 36.65
\nTherefore, she spent $36.65 on the three books.<\/p>\n

Question 7.
\nRoberto bought a 12-pack of bottled water. Each bottle held 0.75 liters. How many liters of water did he buy?
\nRoberto bought _______________ liters.
\nAnswer:
\nThe above-given:
\nThe number of bottles Roberto bought = 12
\nThe number of litres each bottle held = 0.75
\nThe number of litres he buys = x
\nBased on the given conditions, we can formulate;
\nx = 12 x 0.75
\nx = 9
\nTherefore, he bought 9 litres.<\/p>\n

Question 8.
\nThe highest batting average on the Owls baseball team is 0.42. The lowest batting average is 0.18. What is the difference?
\nThe difference is ____.
\nAnswer:
\nThe above-given:
\nThe highest average of the Owls baseball team is 0.42
\nThe lowest average = 0.18
\nThe difference = t
\nt = 0.42 – 0.18
\nt = 0.24
\nTherefore, the difference is 0.24<\/p>\n

Question 9.
\nLou spent $17.65 to buy 5 items of equal value. How much did he spend on each item?
\nLou spent ________________ on each item.
\nAnswer:
\nThe above-given:
\nThe number of items = 5
\nThe total amount she spent = $17.65
\nThe amount she spent on each item = x
\nBased on the given conditions, we can formulate:
\nx = 17.65\/5
\nx = 3.53
\nTherefore, she spent $3.53 on each item.<\/p>\n

Question 10.
\nA hike is 26.4 miles. Alicia wants to divide it equally over 3 days. How far does she need to hike each day?
\nShe needs to hike __________________ miles each day.
\nAnswer:
\nThe above-given:
\nThe total number of miles = 26.4
\nThe number of days = 3
\nThe number of miles she needs to walk each day = h
\nBased on the given conditions, we can formulate:
\nh = 26.4\/3
\nh = 8.8
\nTherefore, she needs to walk 8.8 miles each day.<\/p>\n

Question 11.
\nThere are 6.75 buckets of sand in a sandbox. If each full bucket holds 4.32 pounds of sand, how many pounds of sand are there in the sandbox?
\nThere are _____________ pounds of sand in the sandbox.
\nAnswer:
\nThe above-given:
\nThe number of buckets of sand in the sandbox = 6.75
\nThe number of pounds of sand each bucket holds = 4.32
\nThe remaining sand in the sandbox = s
\ns = 6.75 – 4.32
\ns = 2.43
\nTherefore, 2.43 pounds of sand are in the sandbox.<\/p>\n","protected":false},"excerpt":{"rendered":"

Practice with the help of Spectrum Math Grade 5 Answer Key Chapter 3 Posttest\u00a0regularly and improve your accuracy in solving questions. Spectrum Math Grade 5 Chapter 3 Posttest Answers Key Add or subtract. Question 1. a. Answer: While adding decimals, we need to remember some rules that would be helpful and make the addition easier. … 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\/150239"}],"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=150239"}],"version-history":[{"count":7,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/150239\/revisions"}],"predecessor-version":[{"id":167831,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/150239\/revisions\/167831"}],"wp:attachment":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media?parent=150239"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/categories?post=150239"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/tags?post=150239"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}