- A4,653
- B4,700
- C4,606
- D4,794
Step-by-Step Solution
Write 98 as 100 - 2. Then . Stopping at 4,700 forgets the second part, subtracting only 47 instead of gives 4,653, and adding instead of subtracting gives 4,794.
Answer: C) 4,606
Use the distributive property to find .
Class 6Whole NumbersWhole Numbers
Key idea: Properties of whole-number addition and multiplication
**Commutative**: a + b = b + a, and a × b = b × a. Order does not matter for addition or multiplication.
**Associative**: (a + b) + c = a + (b + c), and (a × b) × c = a × (b × c). Grouping does not matter.
**Distributive**: a × (b + c) = a × b + a × c. Multiplication 'distributes over' addition. This is one of the most useful rules in all of maths.
**Identity**: a + 0 = a (zero is the additive identity), and a × 1 = a (one is the multiplicative identity).
**Multiplying by zero**: a × 0 = 0 for every whole number a.
**Associative**: (a + b) + c = a + (b + c), and (a × b) × c = a × (b × c). Grouping does not matter.
**Distributive**: a × (b + c) = a × b + a × c. Multiplication 'distributes over' addition. This is one of the most useful rules in all of maths.
**Identity**: a + 0 = a (zero is the additive identity), and a × 1 = a (one is the multiplicative identity).
**Multiplying by zero**: a × 0 = 0 for every whole number a.
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