# 180 Days of Math for Sixth Grade Day 132 Answers Key

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## 180 Days of Math for Sixth Grade Answers Key Day 132

Directions: Solve each problem.

Question 1.
97 – 285 = __________
– 188
Explanation:
If we subtract bigger number from the smaller number,
the difference is in negative integers.
97 – 285 = -188

Question 2.

Explanation:
Multiply means to add equal groups.
When we multiply, the number of things in the group increases.
The two factors and the productÂ  are parts of a multiplication.
So, 16 Ã— 20 = 320
The numbers 16 and 20 are the factors,
320 is the product.

Question 3.
267 Ã· 7 = __________
Quotient = 38
Remainder = 1
Explanation:

Question 4.
Write the expanded notation for the number 1,350,607
1,000,000 + 300,000 + 50,000 + 600 + 7
Explanation:
First write the standard form of the number,
then identify the place value of the given number.
Multiply the given digit by its place value and represent the number in the form of digit Ã— place value.
1 x 1000000 = 1,000,000
3 x 100000 = 300,000
5 x 10000 = 50,000
6 x 100 = 600
7 x 1 = 7
1,000,000 + 300,000 + 50,000 + 600 + 7 = 1,350,607

Question 5.
Write 2$$\frac{5}{8}$$ as an improper fraction.
$$\frac{21}{8}$$
Explanation:
An improper fraction is a fraction that has larger number in numerator than in denominator.
2$$\frac{5}{8}$$ = $$\frac{21}{8}$$

Question 6.
Complete the table. Look for a pattern and write the rule.

 Number of Decagons 1 2 3 4 5 Number of Sides 10

Rule: n x 10

 Number of Decagons 1 2 3 4 5 Number of Sides 10 20 30 40 50

Explanation:
Rule: n x 10
n = number of Decagons
2 x 10 = 20
3 x 10 = 30
4 x 10 = 40
5 x 10 = 50

Question 7.
Distribute
5(b + 4) = __________
5b + 20
Explanation:
5(b + 4)
b is the variable in the given equation.
So, it can be distributed as 5b + 20

Question 8.
Find n.
$$\frac{100}{n}$$ = 5
n = ___________
n = 20
Explanation:
$$\frac{100}{n}$$ = 5
100 = 5n
n = $$\frac{100}{5}$$ = 20

Question 9.
1.5 gallons = ________ quarts
6 quarts
Explanation:
1 gallon = 4 quarts
1.5 gallons = x
x = 1.5 x 4
x = 6

Question 10.
To make this pattern, has Tile A been reflected, translated, or rotated?

Rotated
Explanation:
From the above picture,
Tile A is rotated right side three times.

Question 11.
Draw a spinner that has an equal chance of landing on a 1, 2, or 3.

120 degrees

Explanation:
Spinner is having the equal space in the 1,2 and 3
each space is of 120 degrees of angle space in the circle

Question 12.
Rick practices piano every day for 35 minutes. How many hours and minutes does he practice in a 30-day month?