Question
Ecris le nombre à deux décimales qui précède et celui qui suit chaque nombre ci-dessous. Dans chaque cas, entoure celui qui est le plus près du nombre au centre. b) underline ( )lt -7,869lt underline ( ) a) underline ( )lt 1,684lt underline ( ) d) underline ( )lt -12,621lt underline ( ) c) underline ( )lt 23,846lt underline ( )
Solution
4.3
(94 Votes)
Kenneth
Master · Tutor for 5 years
Answer
### a) 1.67 < 1.684 < 1.69 (1.68 is closer)### b) -7.88 < -7.869 < -7.86 (-7.87 is closer, rounding up due to the 9)### c) 23.84 < 23.846 < 23.86 (23.85 is closer, rounding up due to the 6)### d) -12.63 < -12.621 < -12.61 (-12.62 is closer)
Explanation
## Step 1: Rounding to Two Decimal Places### To find the two numbers with two decimal places surrounding a given number, we look at the third decimal place. If it's 5 or greater, we round the second decimal place up. If it's less than 5, we keep the second decimal place as it is. We then find the two numbers to two decimal places that surround our rounded number.## Step 2: Analyzing 1.684### The third decimal place is 4 (less than 5), so we round down to 1.68. The surrounding two-decimal numbers are 1.67 and 1.69. Since 1.684 is closer to 1.68 than 1.69, we circle 1.68.## Step 3: Analyzing -7.869### The third decimal place is 9 (5 or greater), so we round up to -7.87. The surrounding two-decimal numbers are -7.88 and -7.86. Since -7.869 is closer to -7.87 than -7.86, we circle -7.87.## Step 4: Analyzing 23.846### The third decimal place is 6 (5 or greater), so we round up to 23.85. The surrounding two-decimal numbers are 23.84 and 23.86. Since 23.846 is closer to 23.85 than 23.84, we circle 23.85.## Step 5: Analyzing -12.621### The third decimal place is 1 (less than 5), so we round down to -12.62. The surrounding two-decimal numbers are -12.63 and -12.61. Since -12.621 is closer to -12.62 than -12.61, we circle -12.62.