By accessing our **180 Days of Math for Sixth Grade Answers Key Day 158** regularly, students can get better problem-solving skills.

## 180 Days of Math for Sixth Grade Answers Key Day 158

**Directions: Solve each problem.**

Question 1.

Answer:

Explanation:

Perform addition operation on above three given numbers. Add 32 to 46 and 28 the sum is 106.

Question 2.

70 × 500 = __________

Answer:

70 × 500 =** 35,000**

Explanation:

Perform multiplication operation on above two numbers. Multiply 70 with 500 the product is 35,000.

Question 3.

How many groups of four are in 120?

Answer:

120/4 =** 30**

There are 30 groups of four are in 120.

Question 4.

Calculate the cube root of 27.

Answer:

3 x 3 x 3 = 27

Cube root of 27 = **3 or ∛27 = 3**

Explanation:

When a number is multiplied by itself three times gives the actual number 27. The cube root of 27 is symbolically represented as ∛27.

Question 5.

6 + \(\frac{5}{10}\) + \(\frac{6}{100}\) + \(\frac{4}{1000}\) = ___________

Answer:

6 + \(\frac{5}{10}\) + \(\frac{6}{100}\) + \(\frac{4}{1000}\)

= 6 + 0.5 + 0.06 + 0.004

= **6.564**

Explanation:

Perform addition operation on above given numbers. The fraction 5/10 in decimal form as 0.5. The fraction 6/100 in decimal form as 0.06. The fraction 4/1000 in decimal form as 0.004. Add 6 with 0.5, 0.06 and 0.004 the sum is 6.564.

Question 6.

14.7 + 2 × 1.2 – 8 = __________

Answer:

14.7 + 2 × 1.2 – 8

= 14.7 + 2.4 – 8

= 17.1 – 8

= **9.1**

Explanation:

Multiply 2 with 1.2 the product is 2.4. Now the expression is 14.7 + 2.4 – 8.

Next perform addition operation on the expression. Add 14.7 with 2.4 the sum is 17.1. Now the expression is 17.1 – 8.

Perform subtraction operation. Subtract 8 from 17.1 the difference is 9.1.

Question 7.

9.6 – = 5.8

Answer:

9.6 – = 5.8

Explanation:

To get the difference 5.8 we have to perform subtraction operation. Subtract 3.8 from 9.6 the difference is 5.8. The missing numbers is 3.8.

Question 8.

Find x.

2x = 10

x = ___________

Answer:

2x = 10

x = 10/2

**x = 5**

Explanation:

To calculate x value we have to perform division operation on given equation. Divide 10 by 2 the quotient is 5. The value of x is equal to 5.

Question 9.

Calculate the distance a train can travel in 5 hours at 50 kilometers per hour.

Answer:

The train can travel 50 kilometers per hour.

1 hour = 50 kilometers

5 hours = ?

Multiply 50 kilometers with 5 hours.

(50 kilometers x 5 hours)/1hour = **250 kilometers**

A train can travel 250 kilometers in 5 hours.

Question 10.

How many sides does a decagon have?

Answer:

A decagon have **10 sides**.

Explanation:

A decagon is a polygon with 10 sides and 10 angles.

Question 11.

Inside a bag of candy there are 16 lollipops, 12 pieces of chocolate, and 7 pieces of licorice. If you reach in the bag and grab a piece of candy, what is the probability that it will be either a piece of chocolate or licorice?

Answer:

Total lollipops are 16.

Total piece of chocolates are 12.

Total pieces of licorice are 7.

Total number of candies are 16 + 12 + 7 = 35

Total number of piece of chocolates and piece of licorice are 19.

12 + 7 = 19

The probability of either a licorice or a piece of chocolate is **19/35**.

Question 12.

Reanna worked 9 hours. She took a break after working \(\frac{1}{3}\) of the time. How many hours did she still have to work when she came back from her break?

Answer:

Reanna worked 9 hours.

She took a break after working \(\frac{1}{3}\) of the time.

1/3 x 9 hours = **3 hours**

9 hours – 3 hours = **6 hours**

She still have to work 6 hours when she back from her break.