# 180 Days of Math for Sixth Grade Day 170 Answers Key

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## 180 Days of Math for Sixth Grade Answers Key Day 170

Directions: Solve each problem.

Question 1.
140 + 69 = 209
Explanation:
Perform addition operation on above two given numbers. Add 140 with 69 the sum is 209.

Question 2.
43 • 30 = _________
43 • 30 = 1,290
Explanation:
Perform multiplication operation on above two given numbers. Multiply 43 with 30 the product is 1,290.

Question 3.
What is the quotient when 5,627 is divided by 10?
5627/10 = 562.7
The quotient is 562.7 when 5,627 is divided by 10.
Explanation:
Perform division operation on above two given numbers. Divide 5627 by 10 the quotient is 562.7.

Question 4.
How many digits are in 26,789,201?
There are 8 digits in 26,789,201.

Question 5.
Write the improper fraction for 2$$\frac{5}{6}$$.
Given mixed number is 2 5/6.
2 5/6
= (12 + 5)/6
= 17/6
The improper fraction for 2$$\frac{5}{6}$$ is 17/6.
Explanation:
To convert the given mixed number 2 5/6 to improper fraction, We have to follow the below steps.
First multiply the whole number 2 by the denominator 6.
2 ×6 = 12
The product 12 is added to the numerator 5.
12 + 5 = 17
Now, we have to write the answer 17 which is obtained from the above step over the denominator 6.
The improper fraction for 2 5/6 is 17/6.

Question 6.
Write the next number in the sequence. 25, 36, 49,
The given sequence is 25, 36, 49
The difference between first two numbers in the sequence is 11.
36 – 25 = 11
The difference between next two numbers in the sequence is 13.
49 – 36 = 13
So, the next difference is increased by 2 which is 15.
So add 15 to the next number in the sequence number 49 the sum is 64.
49 + 15 = 64
The next number in the sequence is 25, 36, 49, 64.

Question 7.  Explanation:
The another form of the fraction 3/4 is 6/8. So the missing numerator in right side is 6.

Question 8.
Find p.
p – 95 = 162
p = __________
p – 95 = 162
p = 162 + 95
p = 257
Explanation:
To calculate p value we have to perform addition operation on given equation. Add 162 to 95 the sum is 257. The value of p is equal to 257.

Question 9.
How many millimeters are in 25.6 centimeters?
1 centimeter (cm) = 10 millimeter (mm)
1 millimeter = 0.1 centimeter
To convert centimeters to millimeters we have to perform multiplication operation on 25.6 centimeters and 10 millimeters.
25.6 x 10 mm = 256 mm
There are 256 millimeters in 25.6 centimeters

Question 10.
Is 68 degrees an acute, obtuse, right, or straight angle?
68 degrees is a acute angle.
Explanation:
The angle with less than 90 degrees is called an acute angle. So, 68 degrees is a acute angle.

Question 11.
What is the mode for this set of data?
13, 11, 12, 15, 16, 15, 14, 15, 12, 12, 15, 15, 16, 13, 13
The number that occurs the most in the given set of numbers is called a mode.
We can have more than one mode or no mode at all.
In the given series 13, 11, 12, 15, 16, 15, 14, 15, 12, 12, 15, 15, 16, 13, 13
The number 13 are 2.
The number 11 is 1.
The number 12 are 3.
The number 15 are 5.
The number 16 are 2.
The number 14 is 1.
The mode for the given set of data is 15.

Question 12.
A tree grows about 4 inches each year. The tree is expected to be 25 feet tall. If it is 13 feet now, how many years will it take to reach its expected height?