Question

Circle each expression that is not equivalent to the expression in bold.

a. 16 × 29
29 sixteens 16 × (30 – 1) (15 – 1) × 29 (10 × 29) – (6 × 29)
b. 38 × 45
(38 + 40) × (38 + 5) (38 × 40) + (38 × 5) 45 × (40 + 2) 45 thiirty-eights
c. 74 × 59
74 × (50 + 9) 74 × (60 – 1) (74 × 5) + (74 × 9) 59 seventy-fours

Answer 1

The question involves identifying non-equivalent mathematical expressions to a given expression. Expressions (15 - 1) × 29 and (10 × 29) - (6 × 29) are not equivalent to 16 × 29. Additionally, 74 × (60 - 1) is not equivalent to 74 × 59.

Step-by-step explanation:

The student's question is asking to identify which expressions are not equivalent to a given bolded expression in each scenario. Let's go through each part separately:

1. 16 × 2929 sixteens: This is 16 times 29 which is the same.
   
2. 16 × (30 – 1): Again, this is equivalent because (30 - 1) equals 29, yielding 16 times 29.
   
3. (15 – 1) × 29: This is not equivalent because it results in (14 times 29) which is not the same as 16 times 29.
   
4. (10 × 29) – (6 × 29): This simplifies to 16 times 29 minus 6 times 29, which is also not equivalent.
   
   
5. 38 × 45
6. (38 × 40) + (38 × 5): This is equivalent due to the distributive property, also known as multiplication over addition.
   
7. 45 × (40 + 2): This is equivalent as (40 + 2) equals 42, so it simplifies to 45 times 38.
   
8. 45 thirty-eights: This just refers to 45 times 38, which is equivalent.
   
   
9. 74 × 59
10. 74 × (50 + 9): This is equivalent because it simplifies to 74 times 59.
    
11. 74 × (60 – 1): This is not equivalent, it would simplify to 74 times 59 minus 74, which is different.
    
12. (74 × 5) + (74 × 9): This is equivalent based on the distributive property.
    
13. 59 seventy-fours: This is equivalent as it represents 59 times 74.