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## 180 Days of Math for Fifth Grade Answers Key Day 175

**Directions: Solve each problem.**

Question 1.

35 + 26 = ___________

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.

Therefore, the answer is 61.

Question 2.

6.2 Ã— 1.9 = ___________

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 theÂ repeated additionÂ 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€™ 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 11.78

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.

â€“ Here we will show you how to calculate the square root of 891 using the long division method with one decimal place accuracy.

The square root of 749 with one digit decimal accuracy is 27.367. 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 62 square root of 749

The square root of 749 is 27.367

Now multiply 62 and 27.367

Thus, 62 * 27.367 = 1696.754

Question 4.

Write the largest number possible using the digits 4, 9, and 6.

Answer:

We have the numbers 4, 9, and 6 here. The largest and lowest numbers must be found.

Letâ€™s start with the greatest number. To do so, we must arrange the numbers in ascending order. The two arrangements of a series of numbers are known as descending order and ascending order. Descending order refers to the sequence of numbers being arranged from largest to lowest. i.e. the highest number should come first, and the smallest number should come last.

Given digits are 4, 9, and 6

First, the given numbers are arranged in ascending order: 4, 6, 9

From these numbers, we can write the possible 3-digit numbers.

The numbers are 469, 496, 649, 694, 946, 964

the greatest possible 3-digit number is =964

Question 5.

\(\frac{3}{8}\) + \(\frac{2}{8}\) = ___________

Answer:

\(\frac{3}{8}\) can be written as fraction 3/8

\(\frac{2}{8}\) can be written as fraction 2/8

= 3/8 + 2/8

= 3 + 2/8

= 5/8

Therefore, \(\frac{3}{8}\) + \(\frac{2}{8}\) is 5/8

Question 6.

Write the number that comes next in the sequence.

820, 845, 870, __________

Answer: 895

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 increased by 25. It means the addition of the number 25 to the previous number gives the succeeding number. Also, the difference between the two consecutive numbers is 25.

Question 7.

60 Ã— 4 = 200 + 2n

n = ___________

Answer:

We need to find out the n value.

60 Ã— 4 = 240

240 = 200+2n

get 200 to left hand side

240-200=2n

40=2n

n=40/2

n=20

Question 8.

3 yards = ___________ feet

Answer:

The conversion factor from yards to feet is 3, which means that 1 yard is equal to 3 feet:

1 yd=3 ft

To convert 3 yards into feet we have to multiply 3 by the conversion factor in order to get the length amount from yards to feet. We can also form a simple proportion to calculate the result:

1 yd â†’ 3 ft

3 yd â†’ X ft

Solve the above proportion to obtain the length X in feet:

X ft = Â 3 yd Ã— 3 ft

X ft = 9 ft

The final result is:

3 ydâ†’ 9 ft

We conclude thatÂ 3 yards are equivalent to 9 feet:

3 yards = 9 feet

Question 9.

How many faces are on a cylinder?

Answer:

AÂ cylinder hasÂ 3Â faces – 2 circle ones and a rectangle. For example, if you take the top and bottom off a tin can then cut the cylinderÂ part on the seam and flatten it out you wouldÂ get a rectangle. ItÂ hasÂ 2 edges and no vertices (no corners).

Question 10.

Record the following data in a bar graph. Label the graph. The Avengers scored 30 points in the football game. The Outlanders scored 50 points in the football game.

Answer:

The pictorial representation of grouped data, in the form of vertical or horizontal rectangular bars, where the lengths of the bars are equivalent to the measure of data, are known as bar graphs or bar charts. The heights or the lengths of the bars denote the value of the variable, and these graphs are also used to compare certain quantities.

The three major attributes of bar graphs are:

– The bar graph helps to compare the different sets of data among different groups easily.

– It shows the relationship using two axes, in which the categories are on one axis and the discrete values are on the other axis.

– The graph shows the major changes in data over time.

Question 11.

Using this spinner, which number has a 1 in 2 chance of being spun?

Answer:

Question 12

If you divide me by 8, the quotient is 9. What number am I?

Answer: 72

How 72?

Assume X

X/8=9

X=8*9

X=72

Now verify the answer

Now put the X value in the X place.

72/8=9

Therefore, the answer is verified.