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## 180 Days of Math for Fifth Grade Answers Key Day 161

**Directions: Solve each problem.**

Question 1.

127 + 56 = _________

Answer:

The addition is the term used to describe adding two or more numbers together. The addition is denoted using the plus sign â€˜+â€˜ such as the addition of 3 and 3 can be written as 4 + 4. Also, the plus sign (+) can be used as many times as required, such as

4 + 4 + 4 + 4.

127 and 56 are the addends

‘+’ is an operating symbol

‘=’ is an equality symbol

183 is the total/sum.

Question 2.

Answer:

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life. The major application we can see in multiplication tables.

In arithmetic, the multiplication of two numbers represents the repeated addition of one number with respect to another. These numbers can be whole numbers, natural numbers, integers, fractions, etc. If m is multiplied by n, then it means either m is added to itself â€˜nâ€™ a number of times or vice versa.

The formula for multiplication:

The multiplication formula is given by:

Multiplier Ã— Multiplicand = Product

â€“ The multiplicand is the total number of objects in each group

â€“ A multiplier is the number of equal groups

â€“ Product is the result of multiplication of multiplier and multiplicand

Therefore, the answer is 1026.

Question 3.

Answer:

The square root of a number is defined as the value, which gives the number when it is multiplied by itself. The radical symbol âˆš is used to indicate the square root. For example, âˆš9 = 3. The radical symbol is also called a root symbol or surds. If a number is a perfect square, we can easily find the square root of the number. If the given number is not a perfect square number, the square root can be found using the long division method.

Here we will show you how to calculate the square root of 912 using the long division method with one decimal place accuracy.

The square root of 912 with one digit decimal accuracy is 30.199. You can add decimals by simply adding more sets of 00 and repeating the last two steps over and over.

The above-given question is 80 square roots of 912

The square root of 912 is 30.199

Now multiply 80 and 30.199

Thus, 80 * 30.199 = 2415.92

Question 4.

Is 68,765 greater than or less than 68,657?

Answer:

There are certain rules, based on which it becomes easier to compare numbers. These rules are:

– Numbers with more digits: When we compare numbers, then check if both the numbers are having the same number of digits or not. If a number has more digits, then it is greater than the other number.

– Numbers starting with a larger digit: This rule is applicable when two numbers are having the same number of digits. In such cases, we need to check the digit at the leftmost place, whichever is greater. Therefore, the number with a greater digit at the leftmost place of the number is greater than the other number.

The above-given numbers are 68,765 and 68,657

– 68,765 and 68,657 Â both the numbers have an equal number of digits, therefore, we will compare the left-most digit of both the numbers.

– As we can see the first three digits are the same for both the numbers, thus we need to compare the next left-most digit of both numbers.

7 > 6

Therefore,

68,765 is greater than 68,657.

Question 5.

\(\frac{1}{5}\) Ã— 10 = ____________

Answer:

\(\frac{1}{5}\) can be written as 1/5

Now multiply with 10. Let’s assume that the answer be X.

X = 1/5 x 10

X = 2

Therefore, the answer for the above latex expression is 2.

Question 6.

Write the number that comes next n the sequence. 35,207; 35,107; 35,007;

Answer:

number patterns are the patterns in which a list number follows a certain sequence. Generally, the patterns establish the relationship between two numbers. It is also known as the sequence of series in numbers. In order to solve the problems on the number pattern, first, we have to understand the rule being followed in the pattern.

In the given pattern, the sequence is decreased by 100. It means the subtraction of the number 100 to the previous number gives the succeeding number. Also, the difference between the two consecutive numbers is 100.

Therefore, the number sequence is 35207, 35107, 35007, 34907.

Question 7.

82 – = 9 Ã— 9

Answer:

Let the empty box be X

82 – X = 9 x 9

82 – X = 81

– X = 81 – 82

– X = – 1

‘-‘ gets cancelled on both sides

X = 1

Now substitute the X value in the above equation

82 – X = 9 x 9

82 – 1 = 81

81 = 81

LHS = RHS

Hence, the answer is verified.

Question 8.

Calculate the volume of a rectangular prism that is 3 m by 2 m by 5 m.

Answer:

The prism is a three-dimensional figure in which the faces of the solid are rectangles. It has six rectangular faces. The rectangular prism is also known as the cuboid. It has a rectangular cross-section. The opposite faces of the rectangular prism are of equal measure. If the length, width, and height are measures of the rectangular prism, then the volume of the rectangular prism is given by the formula,

The volume of the rectangular prism, V = LengthÂ Ã—Â WidthÂ Ã—Â Height cubic units

The volume of the rectangular prism, V = 3 x 2 x 5

The volume of the rectangular prism, V = 30 cubic units.

Question 9.

True or false?

Parallel lines can cross at some point.

Answer:

False. The parallel lines can never cross.

Two lines are said to be parallel when they do not meet at any point in a plane. Lines which do not have a common intersection point and never cross paths with each other are parallel to each other. The symbol for showing parallel lines is â€˜||â€™.

– They are always parallel and are at equidistant from each other. Parallel lines are non-intersecting lines. We can also say Parallel lines meet at infinity.

Question 10.

Name the shape that is located at (E, 5).

Answer: Hexagon

A polygon is a two-dimensional (2-D) closed figure made up of straight-line segments. In geometry, the hexagon is a polygon with 6 sides. If the lengths of all the sides and the measurement of all the angles are equal, such a hexagon is called a regular hexagon.

Properties:

– It has six sides and six angles.

– The lengths of all the sides and the measurement of all the angles are equal.

– The total number of diagonals in a regular hexagon is 9.

– The sum of all interior angles is equal to 720 degrees, where each interior angle measures 120 degrees.

– The sum of all exterior angles is equal to 360 degrees, where each exterior angle measures 60 degrees.

Question 11.

Using the spinner below, which number has a 1 in 4 chance of being spun?

Answer:

The sample space is the list of all possible outcomes that the spinner can land on.

– We will write the probability of spinning 1 as a fraction.

– The probability is equal to the amount ofÂ 1’s divided by the total amount of numbers on the spinner.

– There are 4 numbers in total on the spinner.

– There is 1 one’s on the spinner

– The probability of spinning a 1 is 1/4.

Question 12.

Freddy gives dog baths on Saturdays to earn some money. He charges $5.00 per dog. It takes him 20 minutes to bathe and dry each dog. How much money can he earn in 3 hours?

Answer: $45

Explanation:

The amount Freddy charges per dog = $5

The time he will take to bathe dogs = 20 minutes

The amount he could earn for 3 hours = X

1 hour = 60 minutes.

For each dog, it will take 20 minutes.

This means in one hour he could earn $15

For 3 hours, 3 x $15 = $45.

Therefore, Freddy earn $45 for 3 hours.