All the solutions provided inÂ **McGraw Hill My Math Grade 5 Answer Key PDF Chapter 11 Lesson 12 Convert Metric Units of Mass **will give you a clear idea of the concepts.

## McGraw-Hill My Math Grade 5 Answer Key Chapter 11 Lesson 12 Convert Metric Units of Mass

Mass is a measure of the amount of matter an object has.

**Math in My World**

**Example 1**

A white-tailed deer has a mass of 136 kilograms. What is the mass of the deer in grams?

Convert 136 kilograms to grams.

Since 1 kilogram = 1,000 grams, multiply 136 by 1,000.

So, 136 kilograms = ______________ grams.

The mass of the white-tailed deer is grams.

Check: Use division to check your answer.

______________ Ă· 1,000 = 136

Answer:

136 kilograms = 136,000 grams.

Therefore, the mass of white-tailed deer is 136,000 grams.

To check the answer use division

136,000 Ă· 1000 = 136

Hence, the answer is proved.

**Example 2**

Convert 1,500 grams to kilograms.

Since you are converting a smaller unit to a larger unit, divide.

The remainder ______________ means there are ______________ grams left over.

The decimal part of a kilogram is ______________.

So, 1,500 grams = ______________ kilogram ______________ grams or ______________ kilograms.

Answer:

1 gram (g) is equal to 0.001 kilograms (kg).

1 g = (1 / 1000) kg = 0.001 kg.

The massÂ mÂ in kilograms (kg) is equal to the mass m in grams (g) divided by 1000:

m(kg) = m(g) / 1000

m(kg) = 1500 / 1000

m(kg) = 15 / 10 = 1.5

The remainder of 500 means there is 500 grams left over.

The decimal part of a kilogram is 0.5

s0, 1500 grams = 1 kilogram 500 grams or 1.5 kilograms.

**Guided Practice**

**Complete.**

Question 1.

5,000 mg = g

5,000 Ă· 1,000 = _____________

So, 5,000 milligrams equals ___________ grams.

Answer: 5 g

Explanation:

How to convert milligrams to grams:

1 milligram (mg) is equal to 1/1000 grams (g).

1 mg = (1 / 1000) g = 0.001 grams

The massÂ mÂ in grams (g) is equal to the mass m in milligrams (mg) divided by 1000:

m(g) = m(mg) / 1000

m(g) = 5000 / 1000

m(g) = 5

Therefore, 5000 mg is equal to 5 grams.

Question 2.

5 kg = g

5 Ă— 1,000 = ______________

So, 5 kilograms equals ___________ grams.

Answer: 5000 grams

Explanation:

How to convert kilograms to grams:

1 kilogram (kg) is equal to 1000 grams (g).

1 kg = 1000 g

The massÂ mÂ in grams (g) is equal to the mass m in kilograms (kg) times 1000:

m(g) = m(kg) x 1000

m(g) = 5 x 1000

m(g) = 5000

Therefore, 5 kilograms is equal to 5000 grams.

Question 3.

4,000 g = kg

4,000 Ă· 1,000 = ______________

So, 4,000 grams equals ______________ kilograms.

Answer: 4 kg

Explanation:

How to convert grams to kilograms:

1 gram (g) is equal to 0.001 kilograms (kg).

1 g = (1 / 1000) kg = 0.001 kg.

The massÂ mÂ in kilograms (kg) is equal to the mass m in grams (g) divided by 1000:

m(kg) = m(g) / 1000

m(kg) = 4000 / 1000

m(kg) = 4

Therefore, 4000 grams is equal to 4 kilograms (kg).

Question 4.

9 g = mg

9 Ă— 1,000 = ______________

So, 9 grams equals ______________ milligrams.

Answer: 9000 mg

Explanation:

How to convert grams to milligrams:

1 gram (g) is equal to 1000 milligrams (mg).

1 g = 1000 mg

The massÂ mÂ in milligrams (mg) is equal to the mass m in grams (g) times 1000:

m(mg) = m(g) x 1000

m(mg) = 9 x 1000

m(mg) = 9000

Therefore, 9 grams is equal to 9000 milligrams.

**Talk Math**

Which is a more reasonable estimate for the mass of a baseball: 140 milligrams, 140 grams, or 140 kilograms? Explain.

Answer:

The mass of a baseball would be measured in grams.

A gram is a mass measurement, not a weight. Mass is important to measure because it will measure the amount of force it will take to move the object. Mass is often measured by measuring an unmeasured object with standardized forms of measurements such as milligrams, grams and kilograms.

**Independent Practice**

**Complete.**

Question 5.

2,000 mg = ______________ g

Answer: 2 g

Explanation:

How to convert milligrams to grams:

1 milligram (mg) is equal to 1/1000 grams (g).

1 mg = (1 / 1000) g = 0.001 grams

The massÂ mÂ in grams (g) is equal to the mass m in milligrams (mg) divided by 1000:

m(g) = m(mg) / 1000

m(g) = 2000 / 1000

m(g) = 2

Therefore, 2000 mg is equal to 2 grams.

Question 6.

80 g = ______________ mg

Answer: 80000 mg

Explanation:

How to convert grams to milligrams:

1 gram (g) is equal to 1000 milligrams (mg).

1 g = 1000 mg

The massÂ mÂ in milligrams (mg) is equal to the mass m in grams (g) times 1000:

m(mg) = m(g) x 1000

m(mg) = 80 x 1000

m(mg) = 80000

Therefore, 80 grams is equal to 80000 milligrams.

Question 7.

0.75 kg = ______________ mg

Answer: 750000 mg

Explanation:

How to convert kilograms to milligrams:

1 kilogram (kg) is equal to 1000000 milligrams (mg).

1 kg = 10^6 = 1000000 mg

The massÂ mÂ in milligrams (mg) is equal to the mass m in kilograms (kg) times 1000000:

m(mg) = m(kg) x 10^6 = m(kg) x 1000000

m(mg) = 0.75 x 1000000

m(mg) = 750000

Therefore, 0.75 kg is equal to 750000 mg

Question 8.

6 kg = ______________ g

Answer: 6000 grams

Explanation:

How to convert kilograms to grams:

1 kilogram (kg) is equal to 1000 grams (g).

1 kg = 1000 g

The massÂ mÂ in grams (g) is equal to the mass m in kilograms (kg) times 1000:

m(g) = m(kg) x 1000

m(g) = 6 x 1000

m(g) = 6000

Therefore, 6 kilograms is equal to 6000 grams.

Question 9.

3,100 g = ______________ kg

Answer: 3.1 kg

Explanation:

How to convert grams to kilograms:

1 gram (g) is equal to 0.001 kilograms (kg).

1 g = (1 / 1000) kg = 0.001 kg.

The massÂ mÂ in kilograms (kg) is equal to the mass m in grams (g) divided by 1000:

m(kg) = m(g) / 1000

m(kg) = 3100 / 1000

m(kg) = 31 / 10 = 3.1

Therefore, 3100 grams is equal to 3.1 kilograms(kg).

Question 10.

0.05 kg = ______________ mg

Answer: 50000 mg

Explanation:

How to convert kilograms to milligrams:

1 kilogram (kg) is equal to 1000000 milligrams (mg).

1 kg = 10^6 = 1000000 mg

The massÂ mÂ in milligrams (mg) is equal to the mass m in kilograms (kg) times 1000000:

m(mg) = m(kg) x 10^6 = m(kg) x 1000000

m(mg) = 0.05 x 1000000

m(mg) = 5/100 x 1000000

m(mg) = 50000

Therefore, 0.05 kg is equal to 50000 mg

Question 11.

4.07 g = ______________ mg

Answer: 4070 mg

Explanation:

How to convert grams to milligrams:

1 gram (g) is equal to 1000 milligrams (mg).

1 g = 1000 mg

The massÂ mÂ in milligrams (mg) is equal to the mass m in grams (g) times 1000:

m(mg) = m(g) x 1000

m(mg) = 4.07 x 1000

m(mg) = 4070

Therefore, 4.07 grams is equal to 4070 milligrams.

Question 12.

9kg = ______________ g

Answer: 9000 g

Explanation:

How to convert kilograms to grams:

1 kilogram (kg) is equal to 1000 grams (g).

1 kg = 1000 g

The massÂ mÂ in grams (g) is equal to the mass m in kilograms (kg) times 1000:

m(g) = m(kg) x 1000

m(g) = 9 x 1000

m(g) = 9000

Therefore, 9 kilograms is equal to 9000 grams.

**Compare. Use <, >, or = to make a true statement.**

Question 13.

2,300 mg 2 g

Answer: greater than (>)

Explanation:

How to convert milligrams to grams:

1 milligram (mg) is equal to 1/1000 grams (g).

1 mg = ( 1 / 1000)g = 0.001 grams

The massÂ mÂ in grams (g) is equal to the mass m in milligrams (mg) divided by 1000:

m(g) = m(mg) / 1000

m(g) = 2300 / 1000

m(g) = 2.3

2.3 grams is greater than 2 grams

Therefore, the answer is greater than (>).

Question 14.

3 kg 3,0o0 g

Answer: equal to (=)

Explanation:

How to convert kilograms to grams:

1 kilogram (kg) is equal to 1000 grams (g).

1 kg = 1000 g

The massÂ mÂ in grams (g) is equal to the mass m in kilograms (kg) times 1000:

m(g) = m(kg) x 1000

m(g) = 3 x 1000

m(g) = 3000

Therefore, 3 kilograms is equal to 3000 grams.

3000 grams = 3000 grams

Hence, the answer is equal to.

Question 15.

4.5 kg 4,050 g

Answer: greater than

Explanation:

How to convert kilograms to grams:

1 kilogram (kg) is equal to 1000 grams (g).

1 kg = 1000 g

The massÂ mÂ in grams (g) is equal to the mass m in kilograms (kg) times 1000:

m(g) = m(kg) x 1000

m(g) = 4.5 x 1000

m(g) = 4500

Therefore, 4.5 kilograms is equal to 4500 grams.

4500 grams is greater than 4050 grams.

Hence, the answer is greater than.

Question 16.

4,120 mg 4.12 g

Answer: equal to (=)

Explanation:

How to convert milligrams to grams:

1 milligram (mg) is equal to 1/1000 grams (g).

1 mg = ( 1 / 1000)g = 0.001 grams

The massÂ mÂ in grams (g) is equal to the mass m in milligrams (mg) divided by 1000:

m(g) = m(mg) / 1000

m(g) = 4120 / 1000

m(g) = 4.12

4.12 grams is equal to 4.12 grams

Therefore, the answer is equal to(=)

Question 17.

75 g 800 mg

Answer: greater than (>)

Explanation:

As we know, grams are larger than milligrams. so undoubtedly, we can say that 75 grams are larger.

1 gram (g) is equal to 1000 milligrams (mg).

1 g = 1000 mg

The massÂ mÂ in milligrams (mg) is equal to the mass m in grams (g) times 1000:

m(mg) = m(g) x 1000

m(mg) = 75 x 1000

m(mg) = 75000

Therefore, 75 grams are equal to 75000 milligrams.

75000 mg > 800 mg

Hence, the answer is greater than.

Question 18.

814 g 8.14 kg

Answer: less than (<)

Explanation:

How to convert grams to kilograms:

1 gram (g) is equal to 0.001 kilograms (kg).

1 g = (1 / 1000) kg = 0.001 kg.

The massÂ mÂ in kilograms (kg) is equal to the mass m in grams (g) divided by 1000:

m(kg) = m(g) / 1000

m(kg) = 814 / 1000

m(kg) = 0.814

0.814 kg < 8.14 kg

Therefore, the answer is less than (<).

**Problem Solving**

**Use the table shown for Exercises 19-21.**

Question 19.

How many yellow-collared macaws would have a combined mass of 1 kilogram?

Answer:

The mass of yellow-collared species in grams = 250

1 kilogram = 1000 grams

The number of yellow-collared macaws would have a combined mass of 1 kilogram. Let it be m(y).

m(y) = 1000 / 250

m(y) = 4

Therefore, 4 yellow-collared macaws could have been combined.

Question 20.

**Mathematical PRACTICE** Explain to a Friend Is the combined mass of two red-footed macaws and three blue and gold macaws closer to 3 kilograms or 4 kilograms? Explain.

Answer:

The mass of each red-footed macaw = 525

In the given that 2 red-footed macaws. So the total number of red-footed macaws = 525 x 2 = 1050 g

The mass of each blue and gold species = 800

In the given that 3 blue and gold species = 800 x 3 = 2400 grams.

The total of both species = 1050 + 2400 = 3450 grams.

Therefore, the total mass is 3450 grams which rounds to 3000 which is 3 kg.

Hence, the species are closer to 3 kilograms.

Question 21.

Which macaw has a mass closest to 1 kilogram?

Answer:

The green-winged macaw has a mass of 900 grams.

we already know that 1 kilogram = 1000 grams

900 is closer to 1000

so, the green-winged macaw is closer to 1 kilogram.

**HOT Problems**

Question 22.

**Mathematical PRACTICE** Use Number Sense One pound is approximately equal to 0.5 kilograms. About how many kilograms is 3 pounds?

Answer:

In the above-given question:

0ne pound m(p) = 0.5 kilograms

The number of kilograms is 3 pounds. Let it be m(kg)

m(kg) = m(p) x 0.5

m(kg) = 3 x 0.5

m(kg) = 1.5

Here we multiplied 3 pounds by 0.5 since there is about 1 pound in 0.5 kg.

Question 23.

**Building on the Essential Question** How is converting metric units of mass different from converting customary units of weight?

Answer:

Converting metric units of mass is different from converting customary units of weight because the value of the measurement does not change but the same value is expressed differently as it would be written in different units.

### McGraw Hill My Math Grade 5 Chapter 11 Lesson 12 My Homework Answer Key

**Practice**

**Complete.**

Question 1.

7,000 mg = _______________ g

Answer: 7 grams

Explanation:

How to convert milligrams to grams:

1 milligram (mg) is equal to 1/1000 grams (g).

1 mg = ( 1 / 1000)g = 0.001 grams

The massÂ mÂ in grams (g) is equal to the mass m in milligrams (mg) divided by 1000:

m(g) = m(mg) / 1000

m(g) = 7000 / 1000

m(g) = 7

Therefore, 7000 milligrams is equal to 7 grams.

Question 2.

4.7 kg = _______________ g

Answer: 4700 grams

Explanation:

How to convert kilograms to grams:

1 kilogram (kg) is equal to 1000 grams (g).

1 kg = 1000 g

The massÂ mÂ in grams (g) is equal to the mass m in kilograms (kg) times 1000:

m(g) = m(kg) x 1000

m(g) = 4.7 x 1000

m(g) = 4700

Therefore, 4.7 kilograms is equal to 4700 grams.

Question 3.

18,500 g = _______________ kg

Answer: 18.5 kg

Explanation:

How to convert grams to kilograms:

1 gram (g) is equal to 0.001 kilograms (kg).

1 g = (1 / 1000) kg = 0.001 kg.

The massÂ mÂ in kilograms (kg) is equal to the mass m in grams (g) divided by 1000:

m(kg) = m(g) / 1000

m(kg) = 18,500 / 1000

m(kg) = 185 / 10 = 18.5

Therefore, 18,500 grams is equal to 18.5 kilograms (kg).

Question 4.

8.3 kg = _______________ g

Answer: 8300 grams

Explanation:

How to convert kilograms to grams:

1 kilogram (kg) is equal to 1000 grams (g).

1 kg = 1000 g

The massÂ mÂ in grams (g) is equal to the mass m in kilograms (kg) times 1000:

m(g) = m(kg) x 1000

m(g) = 8.3 x 1000

m(g) = 8300

Therefore, 8.3 kilograms is equal to 8300 grams.

Question 5.

22 g = _______________ mg

Answer: 22000 mg

Explanation:

How to convert grams to milligrams:

1 gram (g) is equal to 1000 milligrams (mg).

1 g = 1000 mg

The massÂ mÂ in milligrams (mg) is equal to the mass m in grams (g) times 1000:

m(mg) = m(g) x 1000

m(mg) = 22 x 1000

m(mg) = 22000

Therefore, 22 grams is equal to 22000 milligrams.

Question 6.

135,000 mg = _______________ kg

Answer: 0.135 kg

Explanation:

How to convert milligrams to kilograms:

1 milligram (mg) is equal to 1/1000000 kilograms (kg).

1 mg = 10^-6 = 0.000001 kg

The massÂ mÂ in kilograms (kg) is equal to the mass m in milligrams (mg) divided by 1000000:

m(kg) = m(mg) / 10^6 = m(mg) / 1000000

m(kg) = 135000 / 1000000

m(kg) = 0.135

Therefore, 135000 mg is equal to 0.135 kg.

**Problem Solving**

Question 7.

One highlighter has a mass of 11 grams. Another highlighter has a mass of 10,800 milligrams. Which highlighter has the greater mass?

Answer: 11 grams has the greater mass.

Explanation:

The above-given:

The mass of one highlighter in grams = 11

The mass of another highlighter in milligrams = 10,800

we need to find out the greater highlighter.

11 grams is greater than 10,800 milligrams

Explanation:

1 gram (g) is equal to 1000 milligrams (mg).

1 g = 1000 mg

The massÂ mÂ in milligrams (mg) is equal to the mass m in grams (g) times 1000:

m(mg) = m(g) x 1000

m(mg) = 11 x 1000

m(mg) = 11000

Therefore, 11 grams is equal to 11000 milligrams.

11000 grams is greater than 10,800 milligrams.

Question 8.

**Mathematical PRACTICE **Be Precise One computer has a mass of 0.8 kilograms and another has a mass of 800 grams. Compare the masses of the computers. Use >, <, or = to make a true statement.

Answer: equal to(=)

The above-given:

The mass of one computer = 0.8 kg

The mass of another computer = 800

Now we need to compare the masses.

compare kilograms to grams.

Explanation:

How to convert kilograms to grams:

1 kilogram (kg) is equal to 1000 grams (g).

1 kg = 1000 g

The massÂ mÂ in grams (g) is equal to the mass m in kilograms (kg) times 1000:

m(g) = m(kg) x 1000

m(g) = 0.8 x 1000

m(g) = 800

Therefore, 0.8 kilograms is equal to 800 grams.

800 grams is equal to 800 grams

Hence, 0.8 kg is equal to 800 grams.

**Vocabulary Check**

**Fill in the correct circle that corresponds to the best answer.**

Question 9.

Which of the following is not a common unit of measurement for the metric system?

(A) milligram

(B) kilogram

(C) gram

(D) ounce

Answer:Â Option A is the correct answer.

Though the milligram is the unit of mass, it is not a fundamental unit because all practical units need not be fundamental units.

Question 10.

Which operation is necessary to convert a larger unit to a smaller unit?

(A) addition

(B) subtraction

(C) multiplication

(D) division

Answer: Option C is the correct answer

The basic conversion rule is: If you need to convert from a larger unit to a smaller unit, multiply. When converting customary units of measure from a larger unit to a smaller unit, multiply the larger unit by its smaller equivalent unit.

**Test Practice**

Question 11.

For a science experiment. Noel measured a piece of metal that has a mass of 3,500 grams. What is the mass of the metal in kilograms?

(A) 0.35 kilogram

(B) 3.5 kilograms

(C) 35 kilograms

(D) 350 kilograms

Answer: Option B is the correct answer

Explanation:

The above-given:

The mass of the piece of metal in grams = 3500

We need to find out the mass of the metal in kilograms. Let it be m(kg).

How to convert grams to kilograms:

1 gram (g) is equal to 0.001 kilograms (kg).

1 g = (1 / 1000) kg = 0.001 kg.

The massÂ mÂ in kilograms (kg) is equal to the mass m in grams (g) divided by 1000:

m(kg) = m(g) / 1000

m(kg) = 3500 / 1000

m(kg) = 35 / 10 = 3.5

Therefore, the mass of the metal in kilograms is 3.5