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## 180 Days of Math for Fifth Grade Answers Key Day 166

**Directions: Solve each problem.**

Question 1.

372 – 149 = __________

Answer:

Subtraction is one of the four basic arithmetic operations in mathematics. We can observe the applications of subtraction in our everyday life in different situations. For example, when we purchase fruits and vegetables for a certain amount of money say Rs. 200 and we have been given Rs. 500 note to the vendor. Now, the vendor returns the excess amount by performing subtraction such as 500 – 200 = 300. Then, the vendor will return Rs. 300.

Now we need to calculate the above-given question:

we need to subtract 149 from 372:

372 = Minuend; 149 = Subtrahend; 223 = Difference

Therefore, the answer is 223.

Question 2.

46 × 28 = ____________

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 ‘n’ a number of times or vice versa.

The formula for multiplication:

The multiplication formula is given by:

Multiplier × Multiplicand = Product

– The multiplicand is the total number of objects in each group

– A multiplier is the number of equal groups

– Product is the result of multiplication of multiplier and multiplicand

Therefore, the answer is 1288.

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 √ is used to indicate the square root. For example, √9 = 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 753 using the long division method with one decimal place accuracy.

The square root of 573 with one digit decimal accuracy is 27.440 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 61 square roots of 753

The square root of 753 is 27.440

Now multiply 61 and 27.440

Thus, 61 * 27.440 = 1673.84

Question 4.

Write the ordinal number for seventy-three.

Answer:

Ordinal numbers are the numbers that indicate the exact position of something or someone at a place. If the number of objects/persons are specified in a list: the position of the objects/persons is defined by ordinal numbers. The adjective terms which are used to denote the order of something/someone are 1st – First, 2nd-Second, 3rd-Third, 4th-Fourth, 5th-Fifth, 6th-Sixth, and so on. All these terms represent the ordinal numbers. Whereas the counting numbers are called cardinal numbers, such as 0, 1, 2, 3, 4, 5, etc.

The seventy-three can be represented as 73rd.

In words, we can write as seventy-third.

Question 5.

50% of 140 is __________

Answer:

Percentage implies ” for every hundred ”

50% can be written as 50/100

Question 6.

3 • 4 + 4 • 7 = __________

Answer:

The value of 3 • 4 is 12

The value of 4 • 7 is 28

Now add both the values we got. And assume the answer be X.

X =12 + 28

X = 40

Therefore, the value of the above expression is 40.

Question 7.

÷ 7 = 20

Answer:

Let the empty box be M

M ÷ 7 = 20

Now take 7 to the right-hand side then the equation becomes:

M = 20 x 7

M = 140

Now verify the answer by keeping the M value in the above-given expression.

M ÷ 7 = 20

140 ÷ 7 = 20

20 = 20

Henec the answer is verified.

Question 8.

Calculate the volume of a cube with 3-cm sides.

Answer:

The volume of a cube defines the number of cubic units, occupied by the cube completely. The unit of volume of the cube is in cubic units such as centimeters^{3}, meters^{3}, inches^{3}, feet^{3}, etc. A cube is a solid three-dimensional figure, which has 6 square faces or sides. The volume of a cube will be the total space occupied by it. Since all the faces of the cube are square in the shape, hence, the length of the edges will also be equal. Therefore, the length, width and height of the cube are of equal length.

If the length, width and height of the cube is equal to ‘a’, then;

The volume of the cube = a × a × a

The volume of a cube is given by the equation:

Therefore, if we know the edge length of the cube, we can easily find its volume.

The volume of Cube = a^{3
}The volume of a cube = 3 × 3 × 3

The volume of a cube =27 cu. cm.

Question 9.

Is a hexagon solid?

Answer:

A hexagon is a plane shape not solid. A regular hexagon is a closed shape polygon that has six equal sides and six equal angles. In the case of any regular polygon, all its sides and angles are equal.

A hexahedron is a six-sided solid shape.

A hexahedron is a 3-dimensional shape with six faces, straight edges, and sharp corners; the cube is probably the most recognizable hexahedron. There are different kinds of hexahedra: convex and concave. Among the convex hexahedra are seven quadrilateral-faced hexahedra, where all six faces have four sides.

Question 10.

What percentage of the people chose banana ice cream as their favourite?

Answer:

The total circle is 100%.

Half of the circle is means 50% is chocolate.

The remaining half is 50%. In that 50%, strawberry is 25%

And the remaining 25% are vanilla and banana flavour.

To know that percentage, 25/2 =12.5 %

12.5% is banana and 12.5% is vanilla.

Question 11.

You place the following shapes in a bag: 5 circles, 3 triangles, 7 squares, and 5 rectangles. If you reach into the bag and grab one shape, what is the probability that it will be a shape with angles?

Answer:

To Calculate the probability of an event to occur we use this probability formula, recalling, the probability is the likelihood of an event happening. This formula is going to help you to get the probability of any particular event.

This formula is the number of favourable outcomes to the total number of all the possible outcomes that we have already decided in the Sample Space.

The probability of an Event = (Number of favourable outcomes) / (Total number of possible outcomes)

P(A) = n(E) / n(S)

P(A) < 1

Here, P(A) means finding the probability of an event A, n(E) means the number of favourable outcomes of an event and n(S) means the set of all possible outcomes of an event.

The total number of possible outcomes of shapes=5+3+7+5=20

For the circle, there are no angles. so the favourable outcomes are 3 triangles, 7 squares, and 5 rectangles.

The favourable outcomes are=15

According to the formula:

p(shapes with angles)=15/20

P(shapes with angles)=3/4

Therefore, the probability is 3/4.

Question 12.

Faye is going to tie bows around trees to line the path for a parade. She needs 2 feet of ribbon for each tree. She wants to decorate 15 trees. How many yards of ribbon does she need?

Answer:

The number of feet needed for each tree=2

The number of trees she wants to decorate=15

The number of yards she needs=X

2 feet = 0.667 yards.

The total number of feet are needed for 15 trees=15*2=30

Now convert 30 feet into yards

1 feet is equal to 0.333 yards.

so 30 feet is equal to 30 * 0.333 yards

30 * 0.333 yards = 9.99 yards. approximately 10 yards.

Therefore, 10 yards of ribbon she needs.