Unit 4, Lesson 22
Solve Problems Involving Large Numbers
Grade 4
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This True or False prompts students to look carefully at the sum and difference of the digits in each place and to remember to compose units when needed. It also prompts students to make use of structure (MP7). For example, the last expression would be cumbersome to calculate with the standard algorithm. Recognizing that 99,999 is 1 less than 100,000 would enable students to find the difference much more quickly. Likewise, students who notice that
Decide if each statement is true or false. Explain your reasoning.
In this activity, students practice adding and subtracting multi-digit numbers through a game. Students draw several cards containing single-digit numbers, arrange the cards to form two numbers that would give the greatest and the least sums and differences. To meet these criteria, students look for and make use of structure in base-ten numbers (MP7).
Your teacher will give you and your partner a set of 10 cards, each with a number between 0 and 9. Place the cards facedown in a stack.
Draw 3 cards. Use all 3 cards to form 2 different numbers that would give:
the greatest possible sum
the least possible sum
the greatest possible difference
the least possible difference
Shuffle the cards and draw 4 cards. Use them to form 2 different numbers that would give:
the greatest possible sum
the least possible sum
the greatest possible difference
the least possible difference
We used our understanding of place value and expanded form to add and subtract large numbers using the standard algorithm.
We learned how to use the standard algorithm to keep track of addition of digits that result in a number greater than 9.
When there are 10 in a unit, we make a new unit. Then record the new unit at the top of the column of numbers in the next place to the left.
When we subtract numbers, it may be necessary to decompose tens, hundreds, thousands or ten thousands before subtracting.
Finally, we learned if the digit we are subtracting is a zero, we may need to decompose one unit of the digit in the next place to the left.
Sometimes it is necessary to look two or more places to the left to find a unit to decompose. For example, here is one way to decompose a ten and a thousand to find
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