Pregunta
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First estimate each answer and then find the exact answer using the column method: a) \( 176249+0+890385 \) c) \( 32046290+43748341 \) e) \( 117454454+11909909+190231044 \) b) \( (340357+119238)+0 \) f) \( 230394506+116460079+56043921 \) What do you notice when you add 0 to a number?

Ask by Ross Lewis. in South Africa
Feb 03,2025

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When you add 0 to any number, the number stays the same.

Solución

Sure, let's tackle each addition problem step by step. We'll start by estimating the sums and then calculate the exact answers using the column method. Finally, we'll address what happens when you add 0 to a number. --- ### a) \( 176,249 + 0 + 890,385 \) **Estimation:** - \( 176,000 + 0 + 890,000 = 1,066,000 \) **Exact Calculation (Column Method):** ``` 176,249 + 0 + 890,385 ----------- 1,066,634 ``` **Answer:** \( 1,066,634 \) --- ### c) \( 32,046,290 + 43,748,341 \) **Estimation:** - \( 32,000,000 + 44,000,000 = 76,000,000 \) **Exact Calculation (Column Method):** ``` 32,046,290 +43,748,341 ------------ 75,794,631 ``` **Answer:** \( 75,794,631 \) --- ### e) \( 117,454,454 + 11,909,909 + 190,231,044 \) **Estimation:** - \( 117,000,000 + 12,000,000 + 190,000,000 = 319,000,000 \) **Exact Calculation (Column Method):** 1. **First Addition:** ``` 117,454,454 + 11,909,909 ------------ 129,364,363 ``` 2. **Second Addition:** ``` 129,364,363 +190,231,044 ------------ 319,595,407 ``` **Answer:** \( 319,595,407 \) --- ### b) \( (340,357 + 119,238) + 0 \) **Estimation:** - \( 340,000 + 120,000 + 0 = 460,000 \) **Exact Calculation (Column Method):** 1. **First Addition:** ``` 340,357 + 119,238 ---------- 459,595 ``` 2. **Adding Zero:** ``` 459,595 + 0 ---------- 459,595 ``` **Answer:** \( 459,595 \) --- ### f) \( 230,394,506 + 116,460,079 + 56,043,921 \) **Estimation:** - \( 230,000,000 + 116,000,000 + 56,000,000 = 402,000,000 \) **Exact Calculation (Column Method):** 1. **First Addition:** ``` 230,394,506 +116,460,079 ------------ 346,854,585 ``` 2. **Second Addition:** ``` 346,854,585 + 56,043,921 ------------ 402,898,506 ``` **Answer:** \( 402,898,506 \) --- ### **What do you notice when you add 0 to a number?** When you add **0** to any number, the value of the original number **remains unchanged**. This is because **0** is known as the **additive identity** in mathematics. In simple terms: \[ \text{Number} + 0 = \text{Number} \] This property holds true for all real numbers, making 0 a unique and essential element in arithmetic operations. ---

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The Deep Dive

When you add 0 to a number, it’s like adding a sprinkle of magic that instantly keeps the number the same—no changes whatsoever! So, if you’ve got \( 176249 + 0 \), it’s simply \( 176249 \). This means that adding zero acts very much like an invisible friend: they're there, but they don't change the party! Now, when you delve into larger sums, like adding \( 32046290 \) and \( 43748341 \), things can get a bit exciting! You might even invent a dance move for carrying numbers. Just remember, keep everything aligned properly by columns to avoid a math mishap. With careful addition, you can unravel any number puzzle thrown your way and have fun while doing it!

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