Sydney applied the steps to find the product of 3 point 1 times negative 1 point 6 Sydney's Work Step 1: 3 point 1 times negative 1 point 6 is equal to negative 1 point 6 times 3 point 1 Step 2: is equal to _______________ Step 3: is equal to negative 4 point 8 plus negative 0 point 1 6 Step 4: is equal to negative 4 point 9 6 Which expression correctly fills in the blank in Step 2?
Answer
A
1 times 3 minus 0 point 6 times 0 point 1
B
negative 1 times 3 plus negative 0 point 6 times 0 point 1
C
negative 1 point 6 times 3 plus negative 1 point 6 times 0 point 1
D
1 point 6 times 3 minus 1 point 6 times 0 point 1
Explanation
Rewrite 3.1 as 3 + 0.1, then use the distributive property: (−1.6 × 3) + (−1.6 × 0.1). These products are −4.8 and −0.16, matching Step 3. So the blank is “negative 1.6 times 3 plus negative 1.6 times 0.1.”
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