180 Days of Math for Fifth Grade Day 164 Answers Key

By accessing our 180 Days of Math for Fifth Grade Answers Key Day 164 regularly, students can get better problem-solving skills.

180 Days of Math for Fifth Grade Answers Key Day 164

Directions: Solve each problem.

Question 1.
147 – 39 = _________
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 147 from 39.

147 = Minuend; 39 = Subtrahend; 108 = Difference
Therefore, the answer is 108.

Question 2.
9² = ___________
Answer: 81
The square root of any number is equal to a number, which when squared gives the original number.
Let us say m is a positive integer, such that  √(m.m) = √(m²) = m
The formula to find the square root is: y = √a
Since, y.y = y² = a; where ‘a’ is the square of a number ‘y’.
According to the above formula:
y² = a
9² = a
81 = a.

Question 3.
List all the factors of 20.
Answer:
A factor is a number that divides the number into equal parts. Factors of 20 are the numbers that divide 20 completely without leaving any remainder. 4 and 5 are the factors of 20, that is, 5 divides 20 into equal parts of 4 each.
How to calculate the factors of 20:
Step 1: Write down the number to be factored, i.e., 20.
Step 2: Find the numbers which can divide by 20 exactly without leaving any remainder.
– 20 ÷ 1 = 20 Remainder 0
– 20 ÷ 2 = 10 Remainder 0
– 20 ÷ 3 = 6 Remainder 2
Step 3: Continue the rest.
We see that 3 does not divide 20 completely and leaves a remainder. Therefore, 3 is not a factor. Continuing further, the numbers 1, 2, 4, 5, 10, and 20 leave no remainder. Hence, the factors of 20 are 1, 2, 4, 5, 10, and 20.

Question 4.
Round 57,503 to the nearest thousand.
Answer: 58,000
There are some basic rules that need to be followed for rounding numbers.
– We first need to know what our rounding digit is. This digit is the one that will ultimately be affected.
– After this, we need to check the digit to the right of this place which will decide the fate of the rounding digit.
– If the digit to the right is less than 5, we do not change the rounding digit. However, all the digits to the right of the rounding digit are changed to 0.
– If the digit to the right is 5 or more than 5, we increase the rounding digit by 1, and all the digits to the right of the rounding digit are changed to 0.
First, check the number in the hundreds place.
The digit in the hundreds place is 5.
Here check the last rule, according to that, the place in the thousands place is increased by 1 that is 8 and the remaining digits become 0. Then the number becomes 58,000

Question 5.
Write the mixed number for \(\frac{8}{5}\).
Answer:
\(\frac{8}{5}\) can be written as 8/5.
– Convert the fraction to a mixed number by using long division to find the quotient and remainder

– The quotient will be the whole number in the fraction, and the remainder will be the numerator in the mixed fraction
The mixed fraction is 1 3/5.

Question 6.
14 • 7 – 3 • 9 = __________
Answer:
The value of 14 • 7 is 98
The value of 3 • 9 is 27
Assume the answer is X. Now subtract both the numbers we got.
X = 98 – 27
x = 71
Therefore, the value of the above expression is 71.

Question 7.

Answer:
Let the empty box be X
X – 146 = 37
Take 146 to the right-hand side then the expression becomes:
X = 37 + 146
X = 183.
Put X value in the above expression.
183 – 146 = 37
37 = 37
Hence, left-hand side = right-hand side.
Thus, the answer is proved.

Question 8.
Calculate the perimeter of a rectangle that is 5 m by 4 m.
Answer:
the rectangle is a two-dimensional figure with four sides. It is considered a quadrilateral. The opposite sides of the rectangle are of equal measures and each interior angle measures 90 degrees. The perimeter of the rectangle is equal to the sum of the four sides of the rectangle. Since the opposite side are equal measures, the perimeter of a rectangle formula is given by
The perimeter of a rectangle, P = 2 (Length + Width) units
The perimeter of a rectangle, p = 2 (5 + 4) units
The perimeter of a rectangle, p = 2(9)
The perimeter of a rectangle, p = 18 units.

Question 9.
Is 150° an acute angle?
Answer: No, 150° is not an acute angle.
An angle which is measuring less than 90 degrees is called an acute angle. This angle is smaller than the right angle (which is equal to 90 degrees). For example, ∠30^o, ∠45^o, ∠60^o, ∠75^o, ∠33^o, ∠55^o, ∠85^o, etc. are all acute angles.

Question 10.
What is the median of this data set?
624, 652, 598
Answer:
The median of a set of data is the middlemost number or centre value in the set. The median is also the number that is halfway into the set. To find the median, the data should be arranged, first, in order of least to greatest or greatest to the least value. A median is a number that is separated by the higher half of a data sample, a population or a probability distribution, from the lower half. The median is different for different types of distribution.
The above-given values: 624, 652, 598
Now we have to write in ascending order:
598, 624, 652
Now according to the definition, the median is the middlemost number.
the middle number is 624.

Question 11.
Is it impossible, likely, certain, or unlikely that you will ride a Ferris wheel at lunch today?
Answer:

Question 12.
Mrs Hammdy has $30.00 in her wallet. She and her two friends go to the movies. After buying three movie tickets, she has $4.50 left in her wallet. How much was each ticket?
Answer:
The amount Hammdy has in her wallet is $30
The number of tickets they buy=3
The amount she left after buying movie tickets=$4.50
Now what we do is subtract the left amount from the total amount. Assume that would be X.
X = 30 – 4.50
X = $25.5
Now to know the rate of each ticket divide 25.5 and 3. Assume it as T.
T = 25.5/3
T = $8.5
Therefore, each ticket costs $8.5