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Grade 5 Math Worksheets and Problems: Decimal Numbers | Edugain ... - Free Printable

Grade 5 Math Worksheets and Problems: Decimal Numbers | Edugain ...

Educational worksheet: Grade 5 Math Worksheets and Problems: Decimal Numbers | Edugain .... Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Grade 5 Math Worksheets and Problems: Decimal Numbers | Edugain ...
Here are the step-by-step solutions for each question on the worksheet.

(1)
* Step 1: Find out how much juice was sold on Wednesday. The problem says it is 16.91 liters more than Tuesday.
$188.05 + 16.91 = 204.96$ liters.
* Step 2: Add Tuesday's amount and Wednesday's amount together to find the total.
$188.05 + 204.96 = 393.01$ liters.

(2)
* Let's look at place values. The "Ten Thousands" place is 5 spots to the left of the decimal point ($10,000$).
* If you go 5 spots to the right of the decimal point, you get to the "Hundred Thousandths" place ($0.00001$).
* Therefore, the place 100,000 times smaller than Ten Thousands is the Hundred Thousandths place.

(3)
* "Twenty-one" is the whole number part: 21.
* "Forty-two Tenths" means $\frac{42}{10}$, which equals 4.2.
* Add them together: $21 + 4.2 = 25.2$.

(4)
* Step 1: Find the speed of the snail per hour. Divide the distance by the time.
$38.64 \div 4.2 = 9.2$ meters per hour.
* Step 2: Multiply the hourly speed by 5 days (assuming the rate is consistent per day/hour block as implied).
$9.2 \times 5 = 46$ meters.

(5)
* Step 1: Find Monday's sales. Sunday was 142.46 liters, and Monday was 17.23 liters *more*.
$142.46 + 17.23 = 159.69$ liters.
* Step 2: Find Tuesday's sales. Tuesday was 18.81 liters *less* than Monday.
$159.69 - 18.81 = 140.88$ liters.

(6)
* Step 1: Calculate the sum inside the phrase first: $382.43 + 45.49$.
$382.43 + 45.49 = 427.92$.
* Step 2: Subtract that sum from 513.66.
$513.66 - 427.92 = 85.74$.
* This matches option d.

(7)
* Step 1: Find the speed per hour.
$2.562 \div 4.2 = 0.61$ meters per hour.
* Step 2: Multiply by 10 hours.
$0.61 \times 10 = 6.1$ meters.
* This matches option a.

(8)
* A) To find the missing number, subtract 659.32 from 737.37.
$737.37 - 659.32 = 78.05$. (Option d)
* B) To find the missing number, subtract 885.95 from 88.595. *Note: It seems there is a typo in the question or options provided in the image, as 885.95 is larger than 88.595. However, looking at the digits, if we assume the question meant $885.95 + \_\_ = 899.76$ or similar, none fit perfectly. Let's re-read carefully.*
Actually, let's look at option b: $13.81$.
$885.95 + 13.81 = 899.76$. This doesn't match 88.595.
Let's check if the equation is $88.595 - 885.95$? No.
Let's check if the total is actually 899.76? No, it says 88.595.
Let's check if the first number is 8.8595?
Let's try subtraction: $88.595 - 885.95$ is negative.
Let's look at the options again.
a. 7.79, b. 13.81, c. 9.89, d. 10.
Let's try adding the options to 885.95 to see if one results in a number resembling 88.595 (perhaps a decimal shift error in the question printing).
$885.95 + 13.81 = 899.76$.
$885.95 + 7.79 = 893.74$.
There seems to be a significant typo in Question 8B in the source material. However, usually, these problems involve simple subtraction.
Let's look at C): $\_\_ - 296.51 = 70.15$.
Add 296.51 to 70.15.
$296.51 + 70.15 = 366.66$. (Option d)
Let's look at D): $7.71 \times \_\_ = 547.41$.
Divide 547.41 by 7.71.
$547.41 \div 7.71 = 71$.
Wait, $71 \times 7.71 = 547.41$.
Option b is .71? No, option b is just ".71". Option d is "71.21". Option a is "71.08".
Let's re-calculate $547.41 \div 7.71$.
$54741 \div 771 = 71$.
The options are: a. 71.08, b. .71, c. 70.31, d. 71.21.
None of the options are exactly 71. Let me re-read the image.
Ah, D) says $7.71 \times \_\_ = 547.41$.
$71 \times 7.71 = 547.41$.
Is it possible the question is $7.71 \times \_\_ = 5.4741$? Then the answer would be 0.71 (Option b).
Given the decimal placement in other questions, a typo in the decimal point of the result (547.41 vs 5.4741) is highly likely. If the result was 5.4741, the answer is .71.

Let's re-evaluate 8B with a similar typo theory.
If the equation was $8.8595 + \_\_ = 88.595$? No.
If the equation was $88.595 - \_\_ = ...$?
Let's stick to the ones that calculate cleanly first.
8A: d (78.05)
8C: d (366.66)
8D: Likely b (.71) assuming a decimal typo in the product (should be 5.4741).

For 8B: $885.95 + \_\_ = 88.595$. This is impossible with positive numbers.
If it is $8.8595 + \_\_ = 88.595$, then $88.595 - 8.8595 = 79.7355$. No match.
If it is $88.595 + \_\_ = 885.95$, then $885.95 - 88.595 = 797.355$. No match.
If it is $885.95 - \_\_ = 88.595$? Then $797.355$.
Let's look at the options for B again: 7.79, 13.81, 9.89, 10.
Maybe the first number is 74.785? No.
Let's assume there is a typo in my reading of 8B.
Image: `885.95 + ____ = 88.595`.
This is definitely a broken question in the worksheet. However, often in these sets, if A, C, and D have clear answers, B might be skipped or identified as erroneous.

*Self-Correction for Final Output:* I will provide the calculated answers for the clear questions. For 8B and 8D, I will note the likely intended answer based on standard decimal patterns.

Recalculating 8D: $547.41 / 7.71 = 71$. Option B is `.71`. If the question was $7.71 \times x = 5.4741$, x is 0.71. This is a very common type of error in these worksheets. I will select B for D.

Recalculating 8B: There is no logical mathematical solution with the given numbers and options. I will omit a specific selection for B or note it is likely an error, but since I must provide a final answer block, I will focus on the numeric questions 1-7 and the solvable parts of 8.

Final Answer:
(1) 393.01 liters
(2) Hundred Thousandths
(3) 25.2
(4) 46 meters
(5) 140.88 liters
(6) d. 85.74
(7) a. 6.1 m
(8)
A) d. 78.05
B) [Question contains a typo/error]
C) d. 366.66
D) b. .71 (Assuming the product was meant to be 5.4741)
Parent Tip: Review the logic above to help your child master the concept of decimal worksheet grade 5.
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