Measuring in Year 6 (age 10-11) - URBrainy.com - Free Printable

Problem Overview:

The task involves converting between metric units of mass (grams, kilograms) and comparing values using inequalities. The key conversions to remember are:
- 1 kilogram (kg) = 1,000 grams (g)
- To convert from grams to kilograms, divide by 1,000.
- To convert from kilograms to grams, multiply by 1,000.

We will solve the problem step by step, filling in the blanks and explaining each conversion.

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Part 1: Complete the chart below

| g | kg |
|-----------|-----------|
| 7,000 | 7 |
| 930 | 0.93 |
| 12,780 | 12.78 |
| 0.045 | 45 |
| 99.9 | 99,900 |

#### Explanation:
1. 7,000 g to kg: Divide by 1,000 → \( 7,000 \div 1,000 = 7 \) kg.
2. 930 g to kg: Divide by 1,000 → \( 930 \div 1,000 = 0.93 \) kg.
3. 12,780 g to kg: Divide by 1,000 → \( 12,780 \div 1,000 = 12.78 \) kg.
4. 0.045 kg to g: Multiply by 1,000 → \( 0.045 \times 1,000 = 45 \) g.
5. 99.9 kg to g: Multiply by 1,000 → \( 99.9 \times 1,000 = 99,900 \) g.

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Part 2: Fill in the blanks

#### a. \( 2.5 \, \text{kg} \, 55 \, \text{g} = \_\_\_\_\_ \, \text{g} \)
- Convert \( 2.5 \, \text{kg} \) to grams: \( 2.5 \times 1,000 = 2,500 \, \text{g} \).
- Add \( 55 \, \text{g} \): \( 2,500 + 55 = 2,555 \, \text{g} \).
- Answer: \( 2,555 \, \text{g} \).

#### b. \( 12 \, \text{kg} \, 204 \, \text{g} = \_\_\_\_\_ \, \text{g} \)
- Convert \( 12 \, \text{kg} \) to grams: \( 12 \times 1,000 = 12,000 \, \text{g} \).
- Add \( 204 \, \text{g} \): \( 12,000 + 204 = 12,204 \, \text{g} \).
- Answer: \( 12,204 \, \text{g} \).

#### c. \( 1.66 \, \text{kg} \, 9 \, \text{g} = \_\_\_\_\_ \, \text{g} \)
- Convert \( 1.66 \, \text{kg} \) to grams: \( 1.66 \times 1,000 = 1,660 \, \text{g} \).
- Add \( 9 \, \text{g} \): \( 1,660 + 9 = 1,669 \, \text{g} \).
- Answer: \( 1,669 \, \text{g} \).

#### d. \( 4.30 \, \text{kg} \, 886 \, \text{g} = \_\_\_\_\_ \, \text{g} \)
- Convert \( 4.30 \, \text{kg} \) to grams: \( 4.30 \times 1,000 = 4,300 \, \text{g} \).
- Add \( 886 \, \text{g} \): \( 4,300 + 886 = 5,186 \, \text{g} \).
- Answer: \( 5,186 \, \text{g} \).

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Part 3: Fill in the blanks below

#### e. \( 2.045 \, \text{kg} = \_\_\_\_\_ \, \text{kg} \, \_\_\_\_\_ \, \text{g} \)
- The whole number part is \( 2 \, \text{kg} \).
- The decimal part is \( 0.045 \, \text{kg} \). Convert this to grams: \( 0.045 \times 1,000 = 45 \, \text{g} \).
- Answer: \( 2 \, \text{kg} \, 45 \, \text{g} \).

#### f. \( 5.005 \, \text{kg} = \_\_\_\_\_ \, \text{kg} \, \_\_\_\_\_ \, \text{g} \)
- The whole number part is \( 5 \, \text{kg} \).
- The decimal part is \( 0.005 \, \text{kg} \). Convert this to grams: \( 0.005 \times 1,000 = 5 \, \text{g} \).
- Answer: \( 5 \, \text{kg} \, 5 \, \text{g} \).

#### g. \( 12.3 \, \text{kg} = \_\_\_\_\_ \, \text{kg} \, \_\_\_\_\_ \, \text{g} \)
- The whole number part is \( 12 \, \text{kg} \).
- The decimal part is \( 0.3 \, \text{kg} \). Convert this to grams: \( 0.3 \times 1,000 = 300 \, \text{g} \).
- Answer: \( 12 \, \text{kg} \, 300 \, \text{g} \).

#### h. \( 1.09 \, \text{kg} = \_\_\_\_\_ \, \text{kg} \, \_\_\_\_\_ \, \text{g} \)
- The whole number part is \( 1 \, \text{kg} \).
- The decimal part is \( 0.09 \, \text{kg} \). Convert this to grams: \( 0.09 \times 1,000 = 90 \, \text{g} \).
- Answer: \( 1 \, \text{kg} \, 90 \, \text{g} \).

#### i. \( 0.404 \, \text{kg} = \_\_\_\_\_ \, \text{kg} \, \_\_\_\_\_ \, \text{g} \)
- The whole number part is \( 0 \, \text{kg} \).
- The decimal part is \( 0.404 \, \text{kg} \). Convert this to grams: \( 0.404 \times 1,000 = 404 \, \text{g} \).
- Answer: \( 0 \, \text{kg} \, 404 \, \text{g} \).

#### j. \( 15.800 \, \text{kg} = \_\_\_\_\_ \, \text{kg} \, \_\_\_\_\_ \, \text{g} \)
- The whole number part is \( 15 \, \text{kg} \).
- The decimal part is \( 0.800 \, \text{kg} \). Convert this to grams: \( 0.800 \times 1,000 = 800 \, \text{g} \).
- Answer: \( 15 \, \text{kg} \, 800 \, \text{g} \).

#### k. \( 45 \, \text{g} = \_\_\_\_\_ \, \text{kg} \, \_\_\_\_\_ \, \text{g} \)
- Convert \( 45 \, \text{g} \) to kilograms: \( 45 \div 1,000 = 0.045 \, \text{kg} \).
- The whole number part is \( 0 \, \text{kg} \).
- The decimal part is \( 0.045 \, \text{kg} \), which is \( 45 \, \text{g} \).
- Answer: \( 0 \, \text{kg} \, 45 \, \text{g} \).

#### l. \( 6,700 \, \text{g} = \_\_\_\_\_ \, \text{kg} \, \_\_\_\_\_ \, \text{g} \)
- Convert \( 6,700 \, \text{g} \) to kilograms: \( 6,700 \div 1,000 = 6.7 \, \text{kg} \).
- The whole number part is \( 6 \, \text{kg} \).
- The decimal part is \( 0.7 \, \text{kg} \). Convert this to grams: \( 0.7 \times 1,000 = 700 \, \text{g} \).
- Answer: \( 6 \, \text{kg} \, 700 \, \text{g} \).

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Part 4: Fill in the blanks with \( > \), \( < \), or \( = \)

#### m. \( 3.7 \, \text{kg} \_\_\_\_\_ 370 \, \text{g} \)
- Convert \( 3.7 \, \text{kg} \) to grams: \( 3.7 \times 1,000 = 3,700 \, \text{g} \).
- Compare: \( 3,700 \, \text{g} > 370 \, \text{g} \).
- Answer: \( > \).

#### n. \( 40.02 \, \text{kg} \_\_\_\_\_ 4.030 \, \text{kg} \)
- Compare directly: \( 40.02 \, \text{kg} > 4.030 \, \text{kg} \).
- Answer: \( > \).

#### o. \( 699 \, \text{g} \_\_\_\_\_ 0.7 \, \text{kg} \)
- Convert \( 0.7 \, \text{kg} \) to grams: \( 0.7 \times 1,000 = 700 \, \text{g} \).
- Compare: \( 699 \, \text{g} < 700 \, \text{g} \).
- Answer: \( < \).

#### p. \( 4,560 \, \text{g} \_\_\_\_\_ 4.56 \, \text{kg} \)
- Convert \( 4.56 \, \text{kg} \) to grams: \( 4.56 \times 1,000 = 4,560 \, \text{g} \).
- Compare: \( 4,560 \, \text{g} = 4,560 \, \text{g} \).
- Answer: \( = \).

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Final Answers:

1. Chart:
- \( 7,000 \, \text{g} = 7 \, \text{kg} \)
- \( 930 \, \text{g} = 0.93 \, \text{kg} \)
- \( 12,780 \, \text{g} = 12.78 \, \text{kg} \)
- \( 0.045 \, \text{kg} = 45 \, \text{g} \)
- \( 99.9 \, \text{kg} = 99,900 \, \text{g} \)

2. Blanks:
- \( 2.5 \, \text{kg} \, 55 \, \text{g} = 2,555 \, \text{g} \)
- \( 12 \, \text{kg} \, 204 \, \text{g} = 12,204 \, \text{g} \)
- \( 1.66 \, \text{kg} \, 9 \, \text{g} = 1,669 \, \text{g} \)
- \( 4.30 \, \text{kg} \, 886 \, \text{g} = 5,186 \, \text{g} \)

3. Below:
- \( 2.045 \, \text{kg} = 2 \, \text{kg} \, 45 \, \text{g} \)
- \( 5.005 \, \text{kg} = 5 \, \text{kg} \, 5 \, \text{g} \)
- \( 12.3 \, \text{kg} = 12 \, \text{kg} \, 300 \, \text{g} \)
- \( 1.09 \, \text{kg} = 1 \, \text{kg} \, 90 \, \text{g} \)
- \( 0.404 \, \text{kg} = 0 \, \text{kg} \, 404 \, \text{g} \)
- \( 15.800 \, \text{kg} = 15 \, \text{kg} \, 800 \, \text{g} \)
- \( 45 \, \text{g} = 0 \, \text{kg} \, 45 \, \text{g} \)
- \( 6,700 \, \text{g} = 6 \, \text{kg} \, 700 \, \text{g} \)

4. Inequalities:
- \( 3.7 \, \text{kg} > 370 \, \text{g} \)
- \( 40.02 \, \text{kg} > 4.030 \, \text{kg} \)
- \( 699 \, \text{g} < 0.7 \, \text{kg} \)
- \( 4,560 \, \text{g} = 4.56 \, \text{kg} \)

Boxed Final Answer:
\[
\boxed{
\begin{array}{l}
\text{Chart: } 7, 0.93, 12.78, 45, 99,900 \\
\text{Blanks: } 2,555, 12,204, 1,669, 5,186 \\
\text{Below: } 2 \, \text{kg} \, 45 \, \text{g}, 5 \, \text{kg} \, 5 \, \text{g}, 12 \, \text{kg} \, 300 \, \text{g}, 1 \, \text{kg} \, 90 \, \text{g}, 0 \, \text{kg} \, 404 \, \text{g}, 15 \, \text{kg} \, 800 \, \text{g}, 0 \, \text{kg} \, 45 \, \text{g}, 6 \, \text{kg} \, 700 \, \text{g} \\
\text{Inequalities: } >, >, <, =
\end{array}
}
\]