Question

The following addition number sentences are FALSE. Change one number in each problem to make a TRUE number sentence, and rewrite the number sentence.

a. 10+5= 9+5
b. 10+ 3 = 8+4
c. 9+3=8+5.

Answer 1

Three false addition sentences are corrected by changing one number in each. These corrections illustrate how the commutative property of addition and basic arithmetic are used to create true number sentences.

Step-by-step explanation:

The student is asked to correct false addition sentences by changing one number in each. This requires an understanding of basic addition rules and the commutative property of addition.

• a. 10 + 5 = 15, so the correct sentence could be 10 + 5 = 15 instead of 9 + 5.
• b. 10 + 3 = 13, to make the sentence true, one could change 8 to 10, so it would read 10 + 3 = 10 + 4.
• c. 9 + 3 = 12, and to correct the sentence, change 8 to 9 or 5 to 3, thus making it 9 + 3 = 9 + 5 or 9 + 3 = 8 + 3.

Each of these examples demonstrates using the commutative property A + B = B + A and simple addition to balance both sides of the equation.