By accessing our 180 Days of Math for Fifth Grade Answers Key Day 157 regularly, students can get better problem-solving skills.
180 Days of Math for Fifth Grade Answers Key Day 157
Directions: Solve each problem.
Question 1.
Answer:
The addition is the term used to describe adding two or more numbers together. The addition is denoted using the plus sign ‘+‘ 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.
therefore, the answer is 457.
Question 2.
72 • 58 = ___________
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 4176.
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 943 using the long division method with one decimal place accuracy.
therefore, the square root of 943 is 30.708
The above-given question is 23 square root of 943 is:
We got a square root of 943 is 30.708
Now multiply 23 by 30.708
Thus, 23*30.708 is 706.284
Question 4.
Is 5,259 less than 4,259?
Answer:
Greater than and less than symbols are used to compare any two numbers. When a number is bigger than or smaller than another number, greater than less than symbols are used. If the first number is greater than the second number, greater than symbol (>) is used. If the first number is less than the second number, less than symbol (<) is used.
There are two rules to compare the numbers:
Rule 1: Number 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.
Rule 2: Numbers starting with a greater 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.
Given: 5,259 and 4,259
– Sice, both the numbers are having 4 digits, thus we will compare the left-most digit of both the numbers.
5 > 4
Therefore,
5,259 > 4,259
Hence, 5,259 is greater than 4,259.
Question 5.
50% of $68 is ___________.
Answer:
a percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate per cent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.
To determine the percentage, we have to divide the value by the total value and then multiply the resultant to 100.
Percentage formula = (Value/Total value)×100
percentage = 50/100 x 68
Percentage = 1/2 x 68
Percentage = 34%
therefore, the answer is 34%.
Question 6.
60 ÷ 4 + 70 = ___________
Answer:
The value of 60 ÷ 4 is 15
Now add the number we got with 70. Assume that the answer is X.
X = 15 + 70
X = 55
therefore, the value of the above equation is 55.
Question 7.
Answer:
Let the empty box be X.
135 – X = 68
Now get 135 to the right-hand side then the equation is:
-X = 68 – 135
-X = -67
‘-‘ gets cancelled then the answer is:
X = 67.
Now substitute the X value in the above equation.
135 – X = 68
135 – 67 = 68
68 = 68
LHS = RHS
Hence, the answer is verified.
Question 8.
16 cups = __________ quarts
Answer:
The conversion factor from cups to quarts is 0.25, which means that 1 cup is equal to 0.25 quarts:
1 cup = 0.25 qt
To convert 16 cups into quarts we have to multiply 16 by the conversion factor in order to get the volume amount from cups to quarts. We can also form a simple proportion to calculate the result:
1 cup → 0.25 qt
16 cup → V qt
Solve the above proportion to obtain the volume V in quarts:
V qt = 16 cup × 0.25 qt
Vqt = 4 qt
The final result is:
16 cup → 4 qt
We conclude that 16 cups is equivalent to 4 quarts:
16 cups = 4 quarts
Question 9.
How many edges are on a rectangular prism?
Answer:
The edges of a rectangular prism are the line segments that lie at the boundaries of the prism. The edges connect two vertices of the prism. Each face of the prism is surrounded by four edges and each edge is shared by two faces. This means that the rectangular prism has a total of 12 edges.
Question 10.
Half of the soccer club are also members of the debate club. How many students are in the debate club?
Answer:
Let’s assume the Soccer club is having 140 members.
In the question, given that half of the soccer club members are debate club. We need to find out the numbers present in the debate club. Let’s assume that the number of members is X.
X = 140/2
X = 70
Therefore, the members present in the debate club are 70.
Question 11.
This is a spinner for a board game. Label the spinner so there is an equal probability of landing on a 1,2, or 3.
Answer:
– The spinner is divided into 6 sections. So the total number of outcomes is 6.
– We write our probability of a fraction out of 6.
– Now we count how many of these sections contain a ‘1’.
– There are 2 ones on the spinner.
– 2 out of 6 parts contain ‘1’.
– The probability of spinning a 1 is 2/6
– This means we can expect a spinner to spin a ‘1’ two times if it is spun 6 times.
– We will now look at the probability of spinning a ‘2’.
– There are 2 sections on the spinner that contains ‘2’.
– The probability of spinning a ‘2’ is 2/6.
– The probability of spinning a ‘3’ is 2/6
– Spinning 1, 2, and 3 are equally likely on this spinner because there is the same probability of each outcome occurring.
– Therefore, we have filled our sample space with the probabilities of spinning each outcome.
Question 12.
96 children are on the playground. \(\frac{1}{4}\) of them are on the playground equipment. 24 of them are playing basketball. The rest are playing soccer. How many children are playing soccer?
Answer:
The total number of students are on the playground = 96
The number of students is on the playground equipment = 1/4th of 96
1/4 x 96 = 24
Therefore, the number of students in the playground equipment = 24
The number of students playing basketball = 24
The total number of students who played basketball and who are on the playground equipment = 24 + 24 = 48
The number of students is playing soccer = X
To know the rest of the students playing soccer. We need to subtract the total number of students who played basketball and equipment and the actual number of students given.
X = 96 – 48
X = 48
therefore, the rest of the students who are playing soccer are 48.