By accessing our **180 Days of Math for Sixth Grade Answers Key Day 162** regularly, students can get better problem-solving skills.

## 180 Days of Math for Sixth Grade Answers Key Day 162

**Directions: Solve each problem.**

Question 1.

Answer:

Explanation:

Perform addition operation on above two given numbers. Add 169 with 78 the sum is 247.

Question 2.

75 × 10 = __________

Answer:

75 × 10 = **750**

Explanation:

Perform multiplication operation on above two given numbers. Multiply 75 with 10 the product is 750.

Question 3.

Answer:

Explanation:

Perform division operation on above two given numbers. Divide 120 by 6 the quotient is 20.

Question 4.

30,000 + 5,000 + 900 + 80 + 2 = __________

Answer:

30,000 + 5,000 + 900 + 80 + 2 = **35,982**

Explanation:

Perform addition operation on above given numbers. Add 30,000 to 5,000, 900 ,80 and 2 the sum is 35,982.

Question 5.

Arrange in descending order. 1.4, 1.6, 1.3

Answer:

Descending order of given decimal numbers are **1.6, 1.4, 1.3.
**Explanation:

Descending orders means arranging the numbers from largest number to smallest number. The given decimal numbers are 1.4, 1.6, 1.3. Now, we need to arrange the given decimal numbers from left to right in decreasing order. So, the descending order of given decimal numbers are 1.6, 1.4, 1.3.

Question 6.

Complete the table. Then write the conversion rule for grams to kilograms.

Gram |
9,000 | 8,500 | 8,000 | 7,500 |

Kilogram |
9 |
8.5 |
8 |
7.5 |

Answer:

The conversion rule for grams to kilograms is as below.

Rule : **Divide the gram value by 1,000 to get the kilogram value. **

1 kilogram = 1000 grams

1 gram = 0.001 kilograms

Divide 9,000 grams by 1,000 grams the result is 9 kg.

Divide 8,500 grams by 1,000 grams the result is 8.5 kg.

Divide 8,000 grams by 1,000 grams the result is 8 kg.

Divide7,500 grams by 1,000 grams the result is 7.5 kg.

Question 7.

Distribute.

3(x + 9) = ___________

Answer:

3(x + 9)

= 3 × x + 3 × 9

= **3x + 27**

So, multiplying 3 with (x+ 9) gives us the result as 3x + 27.

Question 8.

w^{2} = 1

Solve for w.

w = ___________

Answer:

w^{2} = 1

w^{2} = (1) ^{2} or (-1)^{2}

**w = 1 or -1**

Explanation:

The number 1 can be written as (1) ^{2} or (-1)^{2}. So the value w is equal to 1 or -1.

Question 9.

Find the area of a triangle with a base of 3 ft. and a height of 6 ft.

Answer:

Given

Base = 3 feet

Height = 6 feet

Area of a triangle = 1/2 × base × height

= 1/2 × 3 feet × 6 feet

= 3 feet × 3 feet

= 9 square feet

The area of the triangle = **9 square feet**

Question 10.

Here are five views of the same cube.

Draw the shape that is opposite from on the cube.

Answer:

Question 11.

Draw a spinner that has an equal probability of landing on green, red, yellow, or orange.

Answer:

Four sections: Green, Red, Yellow, Orange

Drawn a spinner with an equal probability of landing on green, red, yellow, or orange.

Question 12.

Kyle mows lawns on the weekend to earn some extra money. He can mow 5 lawns in 2 hours. If he earns $6.50 per lawn, how much does he earn per hour?

Answer:

Kyle mows lawns on the weekend to earn some extra money.

He can mow 5 lawns in 2 hours.

He earns $6.50 per lawn

1 lawn = $6.50

5 lawn = ?

($6.50 x 5 lawn)/1 lawn = $32.5

He earns $32.5 per 2 hours.

**$32.5/2 = $16.25 per hour**

Kyle earns $16.25 per hour.