Grade 5 · Connect decimal kilograms with grams · 342 of 750
Connect decimal kilograms with grams: whole kilograms: 5; extra grams: 762
A measurement for a classroom activity consists of 5 whole kilograms and 762 extra grams. Find the full measurement in grams, explain the calculation, and check a related question.
Try the question, use a hint when you need one, and compare your reasoning with the worked solution. The animation starts with this chapter’s values; changing its controls explores a new case.
01 · Make a prediction
Your practice question
A measurement for a classroom activity consists of 5 whole kilograms and 762 extra grams. First find the full measurement in grams. Then answer: What is the measurement entirely in grams?
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A starting point
One of the larger units contains 1000 of the smaller units. Convert the whole-unit part first, then add the extra part in the same unit; do not add differently sized units as if they were identical.
Work through the reasoning
Step 1
Identify the quantities and the task
A measurement for a classroom activity consists of 5 whole kilograms and 762 extra grams. The first task is to find the full measurement in grams. One of the larger units contains 1000 of the smaller units. Convert the whole-unit part first, then add the extra part in the same unit; do not add differently sized units as if they were identical.
Step 2
Calculate the original result
5 × 1000 + 762 = 5762 grams. The total is 5762 grams, or 5.762 kilograms. Both names refer to the same measurement.
Step 3
Complete the follow-up calculation
What is the measurement entirely in grams? 5762 grams: 5000 from the whole kilograms, plus 762 extra.
The answer
5 × 1000 + 762 = 5762 grams. The total is 5762 grams, or 5.762 kilograms. Both names refer to the same measurement. Follow-up: 5762 grams: 5000 from the whole kilograms, plus 762 extra.
Compare the method as well as the result. A different valid method may reach the same answer. Keep exact values until the last step when the question asks for rounding.
02 · Explore the model
See the mathematical relationship move.
Use Play, Pause, and the timeline to inspect the construction. Reset restores the question’s original settings. The displayed assumptions describe where this model applies.
Watch the relationship
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The mathematical idea
A measurement for a classroom activity consists of 5 whole kilograms and 762 extra grams. One of the larger units contains 1000 of the smaller units. Convert the whole-unit part first, then add the extra part in the same unit; do not add differently sized units as if they were identical. The total is 5762 grams, or 5.762 kilograms. Both names refer to the same measurement.
5 × 1000 + 762 = 5762 grams
03 · Reflect and transfer
Explain what changes and why.
Follow the conversion from the larger-unit part to its smaller-unit equivalent, then combine the extra smaller units. Explain which quantity changes and which relationship stays valid. Use the starting values again before checking your written answer.
This is a distinct guided scenario using a reusable mathematical model. Similar-looking diagrams can represent different given values and conclusions; they are not different mathematical theories.