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—wed. hw— subtract: 854.26 - 46.15 - 46.15 ———— compare <, >, = 0.020 0…

Question

—wed. hw—
subtract: 854.26 - 46.15

  • 46.15

————

compare <, >, =
0.020 0.20
1.1 1.01

Explanation:

Step1: Align decimal points

$$\begin{align*} 854.26\\ -\ \ 46.15\\ \hline \end{align*}$$

Step2: Subtract hundredths place

$0.06 - 0.05 = 0.01$

Step3: Subtract tenths place

$0.2 - 0.1 = 0.1$

Step4: Subtract ones place

Borrow 1 from tens place: $14 - 6 = 8$

Step5: Subtract tens place

After borrowing, $4$ becomes $3$; borrow 1 from hundreds place: $13 - 4 = 9$

Step6: Subtract hundreds place

After borrowing, $8$ becomes $7$; $7 - 0 = 7$

Step7: Combine results

$700 + 90 + 8 + 0.1 + 0.01 = 808.11$

Brief Explanations
  1. For $0.020$ and $0.20$: Compare digit by digit from left of decimal. The tenths place has 0 vs 2; 0 < 2, so $0.020 < 0.20$.
  2. For $1.1$ and $1.01$: Ones place is equal; tenths place has 1 vs 0; 1 > 0, so $1.1 > 1.01$.

Answer:

$854.26 - 46.15 = 808.11$

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