# 180 Days of Math for Sixth Grade Day 173 Answers Key

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## 180 Days of Math for Sixth Grade Answers Key Day 173

Directions: Solve each problem.

Question 1.
216 – 135 = ___________
216 – 135 = 81
Explanation:
Perform subtraction operation on above two given numbers. Subtract 135 from 216 the difference is 81.

Question 2.

Explanation:
Perform multiplication operation on above two given numbers. Multiply 81 with 5 the product is 405.

Question 3.
Is 196 ÷ 6 greater than, less than, or equal to 32$$\frac{5}{6}$$?
196 ÷ 6 = 32.67
32$$\frac{5}{6}$$
= (192 + 5)/6
= 197/6
= 32.83
32$$\frac{5}{6}$$ = 32.83
196 ÷ 6 is less than 32$$\frac{5}{6}$$.
Explanation:
The given fraction 196/6 and the mixed number is 32 5/6. Convert the mixed number into fraction. The mixed number 32 5/6 in fraction form as 197/6. So, 196 ÷ 6 is less than 32$$\frac{5}{6}$$.

Question 4.
Round 345,498 to the nearest thousand.
Given number is 345,498.
If we are rounding to the nearest thousand then we have to take the hundreds place value.
The number at the hundreds place is 4.
The number which is equal to 5 or above we have to round up the value.
The number which is below 5 we have to round down the value.
The number at the hundreds place is 4, which is below 5. So, round down the value as 345,000.
Rounded 345,498 to the nearest thousand as 345,000.

Question 5.
Simplify $$\frac{9}{12}$$.
9/12 = 3/4
The given fraction is 9/12. The simplified form of the fraction 9/12 is 3/4.

Question 6.
Write the next number in the pattern. -60, -45, -30,
The given pattern is -60, -45, -30,
The difference between first two numbers in the sequence is -15.
– 60 – (-45) = -15
The difference between next two numbers in the sequence is -15.
-45 – (-30) = -15
So add 15 to the next number in the sequence number -30 the sum is -15.
-30 – (-15) = -15
The next number in the sequence is -60, -45, -30, -15.

Question 7.
Find v.
$$\frac{72}{v}$$ = 8
v = _________
$$\frac{72}{v}$$ = 8
72 = 8v
72/8 = v
9 = v
Explanation:
To calculate v value we have to perform division operation on given equation. Divide 72 by 8 the quotient is 9. So, the value of v is 9.

Question 8.
Find v.
9v = 72
v = __________
9v = 72
v = 72/9
v = 8
Explanation:
To calculate v value we have to perform division operation on given equation. Divide 72 by 9 the quotient is 8. So, the value of v is 8.

Question 9.
Calculate the perimeter of a rectangle with dimensions measuring 3.2 m by 4.2 m.
Perimeter of a rectangle = 2(width + height)
= 2(4.2 m + 3.2 m)
= 2(7.4 m)
= 14.8 m
Perimeter of a rectangle = 14.8 m
Explanation:
The perimeter of a rectangle is equal to the sum of all four sides. We know that width is equal to 4.2 m and height is equal to 3.2 m. Perimeter of a rectangle is equal to two times of width plus height. Add 4.2 m with 3.2 m the sum is 7.4 m. Multiply 7.4 m with 2 the product is 14.8 m. The perimeter of a rectangle with dimensions measuring 3.2 m by 4.2 m is 14.8 m.

Question 10.
What is the shape of a cross-section of a sphere?
Circle is the shape of a cross-section of a sphere. All cross-sections of a sphere are circles.

Question 11.

The bus company anticipates a 10% increase in the number of riders on the 24th from the number they had on the 19th. How many students will ride the bus on the 24th?